# Shared Flashcard Set

## Details

07 geometry midterms vocab
ch 1- 6
78
Mathematics
12/21/2007

Term
 congruent
Definition
 two figures have the same shape and size
Term
 similar
Definition
 two figures have the same shape
Term
 line symmetry/ reflection symmetry
Definition
 if a figure can be divided into two identical parts, there can be more than one line of symmetry
Term
 midpoint
Definition
 bisects a line segment into two shorter segments of equal length
Term
 real number line
Definition
 one-dimensional system n which points hav a single cordinate
Term
 coordinate plane
Definition
 two-dimensional system in which points have two coordinates
Term
 slope
Definition
 m, rise/ run= y2- y1/ x2- x1
Term
 parallel
Definition
 coplanar lines that do not intersect
Term
 perpendicular
Definition
 if the two slopes' product is equl to -1
Term
 perimeter
Definition
 the length around a figure
Term
 area
Definition
 the amount of area in an figure
Term
Definition
 if two angles share a common vertex and side, but have no common interior points
Term
 segment bisector
Definition
 is a segment, ray, line, or plane that intersects a segment at its midsegment
Term
 angle bisector
Definition
 a ray that divides the angle into two congruent angles
Term
 conditional statement
Definition
 if- then statement
Term
 hypothesis
Definition
 the "if" in the if- then statement
Term
 conclusion
Definition
 the "then" in the if- then statement
Term
 converse
Definition
 interchanging the hypothesis and the conclusion of a conditional statement
Term
 counterexample
Definition
 the hypothesis is true and the conclusion is not
Term
 bicontional statement
Definition
 if the statement is equivalent to the conditional statement and the converse, using "if and only if"
Term
Definition
 if a= b, then a+ c= b+ c
Term
 subtraction property
Definition
 if a= b, then a- c= b-c
Term
 multiplication property
Definition
 if a= b, then ac= bc
Term
 division property
Definition
 if a= b and c doesn't =0, then a/ c= b/c
Term
 reflexive property
Definition
 a= a
Term
 symmetric property
Definition
 if a= b, then b= a
Term
 transitive property
Definition
 if a= b and b= c, then a=c
Term
 substitution property
Definition
 if a= b, then a may be substituted for b in an equation or and expression
Term
 reflexive property of congruence
Definition
 any geometric object is congruent to itself
Term
 symmetric property of congruence
Definition
 if one geometric object is congruent to a second, and the second object is congruent to the first
Term
 trnsitive property of congruence
Definition
 if one geometric object is congruent to a second, and the second object is congruent to a third, then the first object is congruent to the third object
Term
 vertical angles
Definition
 if two angles' sides form two pairs of opposite rays
Term
 linear pair
Definition
 if two adjacent angles' noncommon sides are opposite rays
Term
 complementary
Definition
 if two angles' sum of their measures is 90 degrees
Term
 supplementary
Definition
 if two angles' sum of measures is 180 degrees
Term
 intersecting lines
Definition
 are coplanar and have exactly one point in common
Term
 oblique lines
Definition
 intersecting lines meeting at a right angle, they are perpendicular
Term
 skew lines
Definition
 two lines that do not lie in the same plane
Term
 negation
Definition
 the hypothesis and the conclusion both become negative
Term
 contrapositive
Definition
 the negation of the converse
Term
 trnsversal
Definition
 a line that intersects two or more coplanar lines at different points
Term
 vector
Definition
 a quantity that has both magnitude and a diretion
Term
 equilateral triangle
Definition
 has three congruent sides
Term
 isosceles triangle
Definition
 has two or more congruent sides
Term
 scalene triangle
Definition
 has no congruent sides
Term
 acute triangle
Definition
 has three acute angles
Term
 equiangular triangle
Definition
 if all angles of an acute triangle are congruent
Term
 right tringle
Definition
 has exactly one right angle
Term
 obtuse triangle
Definition
 has exactly one on=btuse angle
Term
 legs of a right triangle
Definition
 the sides of the traingle that form the right angle
Term
 hypotenuse of a right angle
Definition
 the side opposite the right angle
Term
 legs of an isosceles triangle
Definition
 the two congruent sides
Term
 base of an isosceles triangle
Definition
 the third side of the triangle that isn't congruent to the other two sides
Term
 congruence methods
Definition
 - ASA- SAS- SSS- AASnot - AAA- SAA
Term
 CPCTC
Definition
 corresponding parts of congruent triangles are congruent
Term
 perpendicular bisector of a triangle
Definition
 a segment that bisects one side of the triangle
Term
 angle bisector of a triangle
Definition
 a segment that bisects one of the angles of the triangle
Term
 median
Definition
 a segment whose endpoints are a vertex and the midpoint of the other side
Term
 altitude
Definition
 a segment from a vertex that is perpendicular to the opposite side or to the line containing the opposite side
Term
 circumcenter
Definition
 the concurrent point of perpendicular bisectors, equidisdant from all the vertices
Term
 incenter
Definition
 concurrent point of the angle bisectors, equidistant from the three sides of the triangle
Term
 centroid
Definition
 concurrent point of the medians, two- thirds of the distance from each vertex to the midpoint of the opposite side
Term
 orthocenter
Definition
 concurrent point of the altitudes
Term
 midsegment
Definition
 connects the midpoints of two sides of a triangle
Term
 polygon
Definition
 a plane figure that is formed by three or more segments called sides
Term
 convex
Definition
 if no line that contains a side of the polygon contains a point in the interior of the polygon
Term
 nonconvex/ concave
Definition
 not a convex
Term
 diagonal
Definition
 a segment that joins two nonconsecutive vertices
Term
 regular
Definition
 if a polygon is equilateral and equiangular
Term
 parllelogram
Definition
 quadrilateral with two pairs of parallel opposite sides
Term
 rhombus
Definition
 a parallelogram that has all four sides congruent
Term
 rectangle
Definition
 a parallelogram that has four right angles
Term
 square
Definition
 a parallelogram that is both a rectangle and a rhombus
Term
 trapezoid
Definition
 a quadrilateral that has exactly one pair of opposite sides that are parallel
Term
 isosceles trapezoid
Definition
 the legs of the trapezoid are congruent
Term
 kite
Definition
 a quadrilateral that has two pairs of consecutive congruent sides, but opposite sides are not congruent
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