# Shared Flashcard Set

## Details

Geometry Midterm
n/a
95
Other
10/07/2009

Term
 Postulate 5
Definition
 Through any two points there exists exactly one line.
Term
 Postulate 6
Definition
 A line contains at least two points.
Term
 Postulate 7
Definition
 If two lines intersect, then their intersection is exactly one point.
Term
 Corollary
Definition
 A statement that can be proved easily by a theorem or postulate.
Term
 Bisect
Definition
 To divide into two congruent parts.
Term
 Theorem 3.11
Definition
 If two lines are parallel to the same line, then they're parallel to the each other.
Term
 Paragraph proof
Definition
 A proof in paragraph form.
Term
 Segment
Definition
 Part of a line with endpoints and all points between the two endpoints.
Term
 Line Segment
Definition
 Part of a line with endpoints and all points between the two endpoints.
Term
 Negation
Definition
 The negative of a statement
Term
 Conjecture
Definition
 An unproven statement based on observations.
Term
 Counterexample
Definition
 An example that proves a statement false.
Term
 Distance Formula
Definition
 The formula that tells the distance between two points.
Term
 Initial Point
Definition
 The starting point in a raw which all points on the line extend from.
Term
 Definition
Definition
 Uses known words to describe a new word.
Term
 Point
Definition
 A point has no dimension and is represented by a small dot.
Term
 Line
Definition
 A line extends in one dimension.
Term
 Plane
Definition
 a plane extends in two dimensions.
Term
 Collinear points
Definition
 points that lie on the same line.
Term
 Coplanar points
Definition
 points which lie on the same plane.
Term
 Intersect
Definition
 to have one or more points in common
Term
 intersection
Definition
 the set of points that two or more geometric figures have in common.
Term
Definition
 If B is between AC, then AB + BC = AC
Term
 Congruent segments
Definition
 Segments with the same length.
Term
 Angle
Definition
 Consists of two different rays that have the same initial point.
Term
 Sides of an Angle
Definition
 Two rays which make up the angle
Term
 Vertex
Definition
 The initial point of the two rays which make up the angle
Term
 Congruent angles
Definition
 Angles with the same measure
Term
 Interior of an angle
Definition
 all points between the points that lie on each side of the angle
Term
 Exterior of a point
Definition
 All points not in the interior
Term
 Acute angle
Definition
 An able with a measure between 0 and 90
Term
 Right angle
Definition
 An angle with the measure of 90
Term
 Obtuse angle
Definition
 An angle with a measure between 90 and 180
Term
 Straight angle
Definition
 An angle with a measure of 180
Term
Definition
 Two angles with a common vertex and side but no interior points.
Term
 Midpoint
Definition
 The point that divides or bisects a segment into two congruent segments
Term
 Segment bisector
Definition
 a segment, ray, line, or plane that intersects a segment at its midpoint
Term
 Straightedge
Definition
 A construction tool used to draw segments.
Term
 Construction
Definition
 A geometric drawing that uses a limited set of tools, usually a compass and straightedge.
Term
 Midpoint formula
Definition
 the formula used to determine the midpoint
Term
 vertical angles
Definition
 two angles whose sides form two pairs of opposite rays
Term
 linear pair
Definition
 two adjacent angles whose sides form two pairs of opposite rays.
Term
 Complementary angles
Definition
 Angles whose sum is 90
Term
 Complement
Definition
 The sum of an angle and it's complement is 90
Term
 Supplementary
Definition
 Two angels whose measure add up to 180
Term
 Supplement
Definition
 An angle and its supplement add up to 180
Term
 Equilateral triangle
Definition
 A triangle with three congruent sides
Term
 Isosceles triangle
Definition
 a triangle with at least two congruent sides
Term
 Scalene triangle
Definition
 a triangle with no congruent sides
Term
 equiangular triangle
Definition
 a triangle with three congruent angles
Term
 right triangle
Definition
 a triangle with one right angle
Term
 acute triangle
Definition
 a triangle with three acute angles
Term
 obtuse triangle
Definition
 a triangle with one obtuse angle
Term
 vertex of a triangle
Definition
 each of the three points joining the sides of a triangle
Term
Definition
 two sides of a triangle with a common vertex
Term
 hypotenuse
Definition
 in a right triangle, the side opposite the right triangle
Term
 triangle sum theorem
Definition
 the sum of the measures of the interior angles of a triangle is 180
Term
 corollary to the triangle sum theorem
Definition
 the acute angles of a right triangle are complementary
Term
 Reflexive property of equality
Definition
 duh
Term
 Symmetric property of equality
Definition
 duh
Term
 Transitive property of equality
Definition
 duh
Term
 reflexive property of congruence
Definition
 duh
Term
 symmetric property of congruence
Definition
 duh
Term
 transitive property of congruence
Definition
 duh
Term
 reflexive property of angle congruence
Definition
 duh
Term
 symmetric property of angle congruence
Definition
 duh
Term
 transitive property of angle congruence
Definition
 duh
Term
 reflexive property of triangle congruence
Definition
 duh
Term
 symmetric property of triangle congruence
Definition
Term
 transitive property of triangle congruence
Definition
 duh
Term
 axiom
Definition
 a rule accepted without proof
Term
 postulate
Definition
 a rule accepted without proof
Term
 Base angles theorem
Definition
 if two sides of a triangle are congruent, then the angles opposite them are congruent
Term
 converse of base angles theorem
Definition
 if two angles of a triangle are congruent, then the sides opposite them are congruent
Term
 corollary to theorem 4.6
Definition
 if a triangle is equilateral, it is also equiangular
Term
 corollary to theorem 4.7
Definition
 if a triangle is equiangular, then it is also equilateral
Term
 hypothesis
Definition
 duh
Term
 conclusion
Definition
 duh
Term
 right angles congruence theorem
Definition
 all right angles are congruent
Term
 linear pair postulate
Definition
 if two angles form a linear pair then are are supplementary
Term
 vertical angles theorem
Definition
 vertical angles are congruent
Term
 parallel lines
Definition
 duh
Term
 transversal
Definition
 a line that intersects two or more coplanar lines at diff. points
Term
 skew lines
Definition
 duh
Term
 parallel planes
Definition
 duh
Term
 congruent figure
Definition
 two figures with the exact same size and shape
Term
 pythagorean theorem
Definition
 duh
Term
 between
Definition
 duh
Term
 vertex of an angle
Definition
 the initial point of the two rays
Term
 length
Definition
 the distance between two points on a segment
Term
 base angles
Definition
 the angles which make up the base of an isosceles triangle
Term
 SSS
Definition
 if three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent.
Term
 SAS
Definition
 if two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent.
Term
 ASA
Definition
 If two angles and the included side of one triangle are congruent to two sides and the included side of a second triangle, the two triangles are congruent.
Term
 AAS
Definition
 If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent.
Supporting users have an ad free experience!