# Shared Flashcard Set

## Details

GRE Math Terms: Geometry
Geometric Terms for the Quantitative Reasoning Section of the GRE. For the best results, read the GRE math review before using these flash cards.
171
Mathematics
Not Applicable
10/31/2012

Term
 In the image below, if the horizontal lines are parallel, which angle is congruent with ∠1?[image]
Definition
 Angle 1 has three congruent angles: ∠4, ∠5, and ∠8.
Term
 In the image below, if the horizontal lines are parallel, which angle is congruent with ∠2? [image]
Definition
 Angle 2 has three congruent angles: ∠3, ∠6, and ∠7.
Term
 In Geometry, How Big is a Point?
Definition
 A point has no size.
Term
 In Geometry, What is a Line?
Definition
 A straight line that extends in both directions without end.
Term
 In Geometry, What is a Plane?
Definition
 A flat, two-dimensional surface that extends in every direction without end.It can be thought of as a floor which has no thickness and that extends infinitely far in all directions.
Term
 Line Segment
Definition
 The part of a line between two points.It contains those points and all of the points between them.
Term
 Endpoints
Definition
 The points at each end of a line segment.
Term
 Congruent Line Segments
Definition
 Line segments that have equal length.
Term
 Midpoint
Definition
 The point that divides a line segment into two congruent line segments.
Term
 If You Have a Given Line with Points A, B, C, and D on it, What is AB Used to Denote?
Definition
 It can denote one of two things:1) The line segment that consists of points A and B as well as all points between them.2) The length of the line segment AB.You can determine the meaning from the context.
Term
 Fill in the Blank: When Two Lines Intersect at a Point, They Form Four ________.
Definition
 Angles.
Term
 Fill in the Blank: When Two Lines Intersect at a Point, They Form ______ Angles.
Definition
 Four.
Term
 Fill in the Blank: When Two Lines Intersect at a Point, Each Angle has a ______ at the Point of Intersection.
Definition
 Vertex.
Term
 Fill in the Blank: When Two Lines Intersect at a Point, Each Angle has a Vertex at the ______.
Definition
 Point of Intersection.
Term
 Fill in the Blank: When Two Lines Intersect at a Point, Each ______ has a Vertex at the Point of Intersection.
Definition
 Angle.
Term
 If Line Segment AB Intersects Line Segment CD at Point P, What are Angles APC and BPD Called?
Definition
 Opposite angles, or vertical angles.
Term
 If Line Segment AB Intersects Line Segment CD at Point P, What is the Sum of the Measures of All Four Angles Produced?
Definition
 360ᵒ.
Term
 If Line Segment AB Intersects Line Segment CD at Point P, Which Angles are Opposite?
Definition
 There are two pairs of opposite angles:APC and BPD.APD and CPB.
Term
 If Line Segment AB Intersects Line Segment CD at Point P, Which Angles are Vertical?
Definition
 There are two pairs of vertical angles:APC and BPD.APD and CPB.
Term
 If Line Segment AB Intersects Line Segment CD at Point P, Which Angles are Congruent?
Definition
 There are two pairs of congruent angles:APC and BPD.APD and CPB.
Term
 Opposite Angles
Definition
 When two lines or line segments intersect, the opposite angles are the angles opposite one another.If line segment AB intersects line segment CD at point P, it will have two pairs of opposite angles:APC and BPD.APD and CPB.Opposite angles are always congruent.
Term
 Vertical Angles
Definition
 When two lines or line segments intersect, the vertical angles are the angles opposite one another.If line segment AB intersects line segment CD at point P, it will have two pairs of vertical angles:APC and BPD.APD and CPB.Vertical angles are always congruent.
Term
 Congruent Angles
Definition
 Angles that have equal measures.
Term
 Fill in the Blank: Opposite Angles Have ______ Measures.
Definition
 Equal.
Term
 In Geometry, What Does the ∠ Symbol Mean?
Definition
 Angle.
Term
 Perpedicular Lines
Definition
 Lines that intersect to form four congruent angles of 90ᵒ each.
Term
 In Geometry, What Does the ⊥ Symbol Mean?
Definition
 Perpendicular.Two lines that are perpendicular are denoted by a⊥b.
Term
 Right Angle
Definition
 An angle with a measure of 90ᵒ.
Term
 What Does it Mean When a Small Square is Drawn at the Vertex of an Angle?
Definition
 It is a right angle (its measure is 90ᵒ).
Term
 Fill in the Blank: You Can Denote a Right Angle by Drawing a Small ______ at the Vertex of the Angle.
Definition
 Square.
Term
 Acute Angle
Definition
 An angle with a measure less than 90ᵒ.
Term
 Obtuse Angle
Definition
 An angle with a measure between 90ᵒ and 180ᵒ.
Term
 Parallel Lines
Definition
 Two lines on the same plane that do not intersect.
Term
 If Two Parallel Lines are Intersected by a Third Line, What Do You Know About the Angles?
Definition
 Four of the angles will be congruent to one another, the other four will be congruent to each other.That is to say, there will be two measures, each of which is shared by two angles.The only exception is if the intersecting line is perpendicular to the parallel ones, in which case all 8 angles will be 90ᵒ.
Term
 Polygon
Definition
 A closed figure formed by three or more line segments which join the others at their endpoints.Each of the line segments is called a side.
Term
 In Geometry, What is a Side?
Definition
 Each of the line segments that make up a polygon is called a side.
Term
 Vertices
Definition
 The endpoints where each line segment joins with the endpoints of another in a polygon.
Term
 Convex Polygon
Definition
 A polygon in which the measure of each interior angle is less than 180ᵒ.
Term
 Triangle
Definition
 A polygon with three sides.
Term
Definition
 A polygon with four sides.
Term
 Pentagon
Definition
 A polygon with five sides.
Term
 Fill in the Blank: A Quadrilateral Can Be Divided into ______ Triangles.
Definition
 Two.
Term
 Fill in the Blank: A Pentagon Can Be Divided into ______ Triangles.
Definition
 Three.
Term
 How Many Triangles can a Polygon be Divided Into?
Definition
 It can be divided into n-2 triangles, where n is the number of sides the polygon has.
Term
 What is the Sum of the Measures of the Interior Angles of a Polygon?
Definition
 (n-2)(180ᵒ), where n is the number of sides the polygon has.
Term
 What is the Sum of the Measures of the Interior Angles of a Quadrilateral?
Definition
 (n-2)(180ᵒ) = (4-2)(180ᵒ) = (2)(180ᵒ) = 360ᵒ
Term
 Hexagon
Definition
 A polygon with six sides.
Term
 Octagon
Definition
 A polygon with eight sides.
Term
 Regular Polygon
Definition
 A polygon in which all sides are congruent and all interior angles are congruent.
Term
 What is Another Name for a Regular Quadrilateral?
Definition
 A square.
Term
 How Do You Calculate an Interior Angle for a Regular Polygon?
Definition
 Divide the sum of the measures of the interior angles by the numer of sides the polygon has.[(n-2)(180ᵒ)]/n
Term
 What is the Measure of Each Angle in a Regular Hexagon?
Definition
 [({6}-2)(180ᵒ)]/(6)[(4)(180ᵒ)]/6720ᵒ/6120ᵒEach angle will be 120ᵒ.
Term
 Perimeter of a Polygon
Definition
 The sum of the lengths of all of its sides.
Term
 Area of a Polygon
Definition
 The area of the region enclosed by a polygon.
Term
 What is Special About the Lengths Each Side of a Triangle?
Definition
 The length of each side must be less than the sum of the other two sides.
Term
 If a Triangle has One Side with a Length of 3 and Another with a Length of 14, What are the Minimum and Maximum Values for the Remaining Side?
Definition
 x < 3+14x < 17AND: x > 14-3x > 11The remaining side must be between 11 and 17. This can be denoted as 11 < x < 17.
Term
 Equilateral Triangle
Definition
 A triangle with three congruent sides.The measure of each angle is 60ᵒ.All equilateral triangles are also isosceles triangles.
Term
 What is Another Name for a Regular Triangle?
Definition
 An equilateral triangle.
Term
 Isosceles Triangle
Definition
 A triangle with at least two congruent sides.The angles opposite the congruent sides (the angles which are NOT at the intersection of the two sides) will also be congruent.
Term
 In Triangle ABC, if AB and BC are Congruent, Which Angles are Congruent?
Definition
 ∠A and ∠C.
Term
 In Triangle ABC, if ∠A and ∠C are Congruent, Which Sides are Congruent?
Definition
 AB and BC.
Term
 Right Triangle
Definition
 A triangle with an interior right angle (an interior angle equal to 90ᵒ).
Term
 Hypotenuse
Definition
 The side opposite the right angle in a right triangle.
Term
 Legs of a Triangle
Definition
 The sides of a right triangle other than the hypotenuse.If triangle ABC has a 90ᵒ angle at B, the hypotenuse will be AC, and the legs will be AB and BC.
Term
 Pythagorean Theorem
Definition
 In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.a²+b² = c²If triangle ABC has a 90ᵒ angle at B, this would be denoted by: (AB)²+(BC)² = (AC)²
Term
 In a Right Triangle, if the Length of One Leg is 6 and the Length of the Other Leg is 8, What is the Hypotenuse?
Definition
 (6)²+(8)² = c²36+64 = c²100 = c²c = √100 = 10The hypotenuse is 10.
Term
 In a Right Triangle, if the Length of One Leg is 4 and the Length of the Hypotenuse is 7, What is the Length of the Remaining Leg?
Definition
 (4)²+b² = (7)²16+b² = 49b² = 49-16 = 33b = √33The remaining leg is √33, or approximately 5.74.
Term
 What is the Equation Used to Determine the Length of the Sides for an Isosceles Right Triangle?
Definition
 y = (√2)x
Term
 What is the Ratio for the Lengths of the Sides for an Isosceles Right Triangle?
Definition
 1:1:√2
Term
 What are the Values of the Angles for an Isosceles Right Triangle?
Definition
 One angle is 90ᵒ and the other two are each 45ᵒ.
Term
 30ᵒ-60ᵒ-90ᵒ Triangle
Definition
 A right triangle where the value for one of the remaining angles is 30ᵒ and the value for the third angle is 60ᵒ.It is half of an equilateral triangle.
Term
 A ______ is Half of an Equilateral Triangle.
Definition
 30ᵒ-60ᵒ-90ᵒ triangle.
Term
 What is the Ratio for the Lengths of the Sides for a 30ᵒ-60ᵒ-90ᵒ Triangle?
Definition
 1:2:√3
Term
 What is the Equation Used to Determine the Length of the Sides for a 30ᵒ-60ᵒ-90ᵒ Triangle?
Definition
 y = (√3)xWhere y is the side opposite the 60ᵒ angle, x is the side opposite the 30ᵒ angle.The hypotenuse is 2x.The side x will be shorter than the side y.
Term
 How Do You Calculate the Area of a Triangle?
Definition
 Multiply the base by the height and divide by 2.A = bh/2
Term
 Which Side of a Triangle is the Base?
Definition
 Any side can be the base. The height is the perpendicular line segment from the base to the opposite vertex.
Term
 Which Side of a Triangle is the Height?
Definition
 The perpendicular line segment from the base to the opposite vertex.
Term
 Congruent Triangles
Definition
 Two triangles that have the same shape and size.Two triangles are congruent if their vertices can be matched up so that the corresponding angles and the corresponding sides are congruent.All congruent triangles are also similar.
Term
 How Do You Determine if Two Triangles are Congruent?
Definition
 There are three ways:1) If all three sides of one triangle are congruent to all three sides of another triangle, they are congruent.2) If two sides and one angle of one triangle are congruent to two sides and one angle of the other triangle, they are congruent.3) If two angles and one side of one triangle are congruent to two angles and one side of the other triangle, they are congruent.
Term
 If All Three Angles of a Triangle are Congruent, Does That Mean the Triangles are Congruent?
Definition
 No. They are only similar.
Term
 If All Three Sides of a Triangle are Congruent, Does That Mean the Triangles are Congruent?
Definition
 Yes, they are congruent.
Term
 If Two Sides and One Angle of a Triangle are Congruent to Two Sides and One Angle of Another Triangle, What Do You Know?
Definition
 The triangles are congruent.
Term
 If Two Angles and One Side of a Triangle are Congruent to Two Angles and One Side of Another Triangle, What Do You Know?
Definition
 The triangles are congruent.
Term
 Similar Triangles
Definition
 Two triangles that have the same shape but not necessarily the same size.When talking about simlilar triangles ABC and DEF, the order of the letters indicates their correspondences.The ratio of their sides will also be equal to one another.
Term
 If Triangles ABC and DEF are Similar, Which Angles are Congruent?
Definition
 ∠A is congruent to ∠D, ∠B is congruent to ∠E, and ∠C is congruent to ∠F.
Term
 If Triangles ABC and DEF are Similar, What Do You Know About the Ratios of Their Sides?
Definition
 AB/DE = BC/EF = AC/DFYou can also use cross-multiplication to get:AB/BC = DE/EFAB/DE = AC/DFAC/BC = DF/EF
Term
 If You Have Two Triangles, ABC and DEF, and You Know that AB/DE = BC/EF = AC/DF, What Can You Conclude?
Definition
 They are similar triangles.
Term
 Rectangle
Definition
 A quadrilateral with four right angles.
Term
 Square
Definition
 A rectangle with four congruent sides.A regular quadrilateral.
Term
 Parallelogram
Definition
 A quadrilateral in which both pairs of opposite sides are parallel.Both pairs of opposite sides and opposite angles are congruent.
Term
 Fill in the Blank: In a Parallelogram Both Pairs of ______ are Congruent.
Definition
 Opposite sides AND opposite angles.
Term
 Trapezoid
Definition
 A quadrilateral in which two opposite sides are parallel.
Term
 How Do You Calculate the Area of a Parallelogram?
Definition
 A = bh, where b is the base and h is the height.
Term
 When Calculating the Area of a Parallelogram, Which Side is the Base?
Definition
 Any side may be the base.
Term
 When Calculating the Area of a Parallelogram, What is the Height?
Definition
 The height is the perpendicular line segment from any point on the base to the opposite side (or an extension of that side).
Term
 How Do You Calculate the Area of a Trapezoid?
Definition
 A = (1/2)(b₁+b₂)(h), where b₁ is the length of one parallel side, b₂ is the length of the other parallel side, and h is the corresponding height (the perpendicular line segment between the parallel sides).In English: The area equals half of the product the height and the sum of the lengths of the two parallel sides.
Term
 Perimeter of a Polygon
Definition
 The sum of all of the sides of a polygon.
Term
 Circle
Definition
 The set of points on a plane that are a distance of r units from O, where r is a positive number and O is a point on the plane.
Term
 Center of a Circle
Definition
 The point O on a plane (where the circle is defined as the set of points on a plane that are a distance of r units from O, and r is a positive number).
Term
Definition
 The distance from the center of a circle to its edge.Any line segment joining a point on the circle and the center of that circle.
Term
Definition
Term
 Diameter
Definition
 Twice the radius.Any chord which passes through the center of that circle.
Term
 Chord
Definition
 Any line segment joining two points on a circle.
Term
 Circumference
Definition
 The distance around a circle, analogous to the perimeter of a polygon.
Term
 What is the Ratio for Pi?
Definition
 C/d, where C is the circumference of any circle and d is the diameter of the
Term
 What is the Approximate Value of Pi (Don't Use a Calculator for This)?
Definition
 3.14
Term
 What is the Symbol π Used to Denote?
Definition
 Pi, which has an approximate value of 3.14, and is the ratio of C/d.
Term
 How Do You Calculate the Circumference of a Circle?
Definition
 C = 2πr, where r is the radius.
Term
 If a Circle has a Diameter of 12, What is the Circumference?
Definition
 The radius if half of the diameter, so:C = 2π(1/2)(12) = 37.6991Which can be rounded to 37.7.
Term
 Arc
Definition
 The part of the circle containing two points and all the points between them.Two points on a circle are always the endpoints of TWO arcs.
Term
 How Many Points are Used to Identify an Arc?
Definition
 Arcs are identified by three points. This is to avoid ambiguity, as two points would refer to two arcs instead of one.
Term
 Central Angle
Definition
 An angle with its vertex at the center of the circle.
Term
 Measure of an Arc
Definition
 The measure of its central angle, which is formed by two radii that connect the center of the circle to the endpoints of the arc.
Term
 Fill in the Blank: An Entire Circle is Considered to be an ______ with Measure 360ᵒ.
Definition
 Arc.
Term
 If You Know the Measure of an Arc Formed by Two Points, What Do You Know About the Other Arc Formed by Those Same Two Points?
Definition
 It will be equivalent to 360ᵒ-a, where a is the measure of the first (known) arc.
Term
 Length of an Arc
Definition
 The distance around the circumference of the circle from one endpoint of the arc to the other.
Term
 What is the Ratio for the Circumference of an Arc?
Definition
 The ratio of the length of an arc to the circumference is equal to the ratio of the degree measure of the arc to 360ᵒ.a/C = ∠b/360Where a is the length of the arc, C is the circumference of the circle, and ∠b is the measure of the arc.
Term
 How Do You Calculate the Length of an Arc?
Definition
 a = C(∠b/360)Where a is the length of the arc, C is the circumference of the circle, and ∠b is the measure of the arc.
Term
 If the Radius of a Circle is 6 and the Measure of an Arc is 45ᵒ, What is the Length of the Arc?
Definition
 a = C(45/360)We know that C = 2π(6) = 12π, so:a = 12π(45/360) = 12π(0.125) = 1.5πThe length is 1.5π or approximately 4.71.
Term
 Area of a Circle
Definition
 The area of the region enclosed by a circle.
Term
 How Do You Calculate the Area of a Circle?
Definition
 A = πr², where r is the radius.
Term
 If a Circle has a Diameter of 12, What is the Area?
Definition
 The radius if half of the diameter, so:C = π[(1/2)(12)]² = π(6)² = 36πThe area is 36π, which can be rounded to 113.10.
Term
 Sector
Definition
 The region of a circle bounded by an arc of the circle and two radii.It looks like a triangle with a one rounded side (the arc).
Term
 What is the Ratio of the Area of a Sector of a Circle?
Definition
 The ratio of the area of a sector to the area of the circle is equal to the ratio of the degree measure of the arc to 360ᵒ.S/A = ∠b/360Where S is the area of the sector, A is the area of the circle, and ∠b is the measure of the arc.
Term
 How Do You Calculate the Area of a Sector of a Circle?
Definition
 S = A(∠b/360)Where S is the area of the sector, A is the area of the circle, and ∠b is the measure of the arc.
Term
 If the Radius of a Circle is 6 and the Measure of an Arc is 45ᵒ, What is the Area of the Sector?
Definition
 S = A(45/360)We know that A = π(6)² = 36π, so:a = 36π(45/360) = 36π(0.125) = 4.5πThe area of the sector is 4.5π or approximately 14.14.
Term
 Tangent to a Circle
Definition
 A line that intersects the circle at exactly one point.
Term
 Point of Tangency
Definition
 The point where a tangent intersects a circle.
Term
 Fill in the Blank: If a Line is Tangent to a Circle, then a ______ Drawn to the Point of Tangency is Perpendicular to the Tangent Line.
Definition
Term
 Fill in the Blank: If a Line is Tangent to a Circle, then a Radius Drawn to the ______ is Perpendicular to the Tangent Line.
Definition
 Point of Tangency.
Term
 Fill in the Blank: If a Line is Tangent to a Circle, then a Radius Drawn to the Point of Tangency is ______ to the Tangent Line.
Definition
 Perpendicular.
Term
 Fill in the Blank: When All of the Vertices of a Polygon Lie on a Circle, the Polygon is ______ that Circle.
Definition
 Inscribed in.
Term
 What Does it Mean to Say a Polygon is Inscribed in a Circle?
Definition
 All of the vertices of the polygon lie on the circle.
Term
 Fill in the Blank: When All of the Vertices of a Polygon Lie on a Circle, the Circle is ______ that Polygon.
Definition
Term
 What Does it Mean to Say a Circle is Circumscribed About a Polygon?
Definition
 All of the vertices of the polygon lie on the circle.
Term
 What Do You Know About an Inscribed Triangle if One Side of that Triangle is the Diameter of the Circle?
Definition
 The triangle is a right triangle.
Term
 What Do You Know About the Sides of an Inscribed Right Triangle Inside a Circle?
Definition
 One of the sides of the triangle is the radius of the circle.
Term
 Fill in the Blank: When All of the Sides of a Polygon Lie Are Tangent to a Circle, the Polygon is ______ that Circle.
Definition
Term
 What Does it Mean to Say a Circle is Inscribed in a Polygon?
Definition
 All of the sides of the polygon are tangent to the circle.
Term
 Fill in the Blank: When All of the Sides of a Polygon Lie Are Tangent to a Circle, the Circle is ______ that Polygon.
Definition
 Inscribed in.
Term
 What Does it Mean to Say a Polygon is Circumscribed About a Circle?
Definition
 All of the sides of the polygon are tangent to the circle.
Term
 Concentric Circles
Definition
 Two or more circles with the same center.
Term
 Fill in the Blank: Two or More Circles with the Same Center are ______.
Definition
 Concentric.
Term
 What are the Basic Three-Dimensional Figures?
Definition
 Rectangular solids, cubes, cylinders, spheres, pyramids, and cones.
Term
 Rectangular Solid
Definition
 A three-dimensional figure with six rectangular surfaces called faces.
Term
 How Many Faces Does a Rectangular Solid Have?
Definition
 Six.
Term
 In a Rectangular Solid, Which Faces are Perpendicular to Each Other?
Definition
Term
 Fill in the Blank: In a Rectangular Solid, Adjacent Faces are ______ to Each Other.
Definition
 Perpendicular.
Term
 What is an Edge of a Rectangular Solid?
Definition
 A line segment that is the intersection of two of its faces.
Term
 Fill in the Blank: Each Line Segment that is the Intersection of Two Faces of a Rectangular Solid is Called an ______.
Definition
 Edge.
Term
 What is a Vertex of a Rectangular Solid?
Definition
 A point where the edges intersect.
Term
 Fill in the Blank: Each Point at Which the Edges of a Rectangular Solid Intersect is Called a ______.
Definition
 Vertex.
Term
 Cube
Definition
 A rectangular solid with six square faces.The length, width, and height are the same (l = w = h).
Term
 How Many Edges Does a Rectangular Solid Have?
Definition
 12
Term
 How Many Vertices Does a Rectangular Solid Have?
Definition
 8
Term
 What Are the Dimensions of a Rectangular Solid?
Definition
 Length (l), width (w), and height (h).
Term
 What is the Volume of a Rectangular Solid?
Definition
 The product of its three dimensions.
Term
 How Do You Calculate the Volume of a Rectangular Solid?
Definition
 V = lwh.
Term
 What is the Surface Area of a Rectangular Solid?
Definition
 The sum of the areas of the six faces.
Term
 How Do You Calculate the Surface Area of a Rectangular Solid?
Definition
 A = 2(lw+lh+wh)
Term
 If a Rectangular Solid has a Length of 10, a Width of 4, and a Height of 6, What is its Volume?
Definition
 V = (10)(4)(6)V = 240
Term
 If a Rectangular Solid has a Length of 10, a Width of 4, and a Height of 6, What is its Surface Area?
Definition
 A = 2[(10)(4)+(10)(6)+(4)(6)]A = 2(40+60+24)A = 2(124)A = 248
Term
 Circular Cylinder
Definition
 Two circular bases joined by a surface made of all line segments that join points on the two circles and are parallel to the line segment that joins the centers of the circles.
Term
 Axis of a Cylinder
Definition
 The line segment joining the centers of the two circular bases of a cylinder.
Term
 Right Circular Cylinder
Definition
 A circular cylinder whose axis is perpendicular to its bases.
Term
 What is the Height of a Right Circular Cylinder?
Definition
 The length of the line segment that connects the centers of the two circles that are its bases.
Term
 How Do You Calculate the Volume of a Right Circular Cylinder?
Definition
 V = πr²hWhere r is the radius of the bases and h is the height of the cylinder.
Term
 What is the Surface Area of a Circular Cylinder?
Definition
 The sum of the areas of the two bases and the lateral area.
Term
 How Do You Calculate the Surface Area of a Right Circular Cylinder?
Definition
 A = 2(πr²) + 2πrhWhere r is the radius of the bases and h is the height of the cylinder.
Term
 If a Right Circular Triangle Has a Height of 8 and a Radius of 3, What is its Volume?
Definition
 V = π(3)²(8)V = π(9)(8)V = 72πWhich is approximately 226.19.
Term
 If a Right Circular Triangle Has a Height of 8 and a Radius of 3, What is its Surface Area?
Definition
 A = 2[π(3)²] + 2π(3)(8)A = 2[π(9)] + 2π(24)A = π(18) + π(48)A = 18π + 48πA = 66πWhich is approximately 207.35.
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