Geometry reason in proofs Flashcards
midpoint
a point is a midpoint IFF it divides a segment into two congruent segements
IFF
if and only if
congruent segments
two segments are congruent IFF their measures are equal
segment bisector
a line bisectors a segment IFF to divides the segment into two congruent segments
angle bisector
a ray bisects an angle IFF it divides an angle into two congruent angles
congruent angles
two angles are congruent IFF their measures are equal
perpendicular
two lines are perpendicular IFF they intersect to form a right angle
complementary
two angles are complementary IFF the sum of their measures is 90 degrees
supplementary
two angle are supplementary IFF the sum of their measures is 180 degrees
right
an angle is a right angle IFF it has a measure of 90 degrees
Acute
an angle is an acute angle IFF it has a measure less than 90 degrees
Obtuse
an angle is an obtuse angle IFF it has a measure greater than 90 degrees
isosceles
a triangle is isosceles IFF it has at least two congruent sides
equilateral
a triangle is equilateral IFF it has three congruent sides
vertical angle theorem
vertical angles are congruent
right angle theorem
all right angles are congruent
linear pair property
linear pairs are supplementary