Springboard Geometry Unit 2 - Activity 10: Compositions and Congruence

congruent

Figures in which one maps to the other by a composition of rigid motions. Figures that have the same measure.

transitive property

If A is congruent to B and B is congruent to C, then A is congruent to C.

symmetric property

If A is congruent to B, then B is congruent to A.

rotation symbol

R

translation symbol

T

composition of transformations

a series of two or more transformations performed on a figure one after another

inverse

a transformation that maps the image back to the pre-image

direction of rotation by a negative angle

clockwise

direction of rotation by a positive angle

counterclockwise

reflexive property

every figure is congruent to itself

reflection symbol

r

properties of congruence

reflexive, symmetric, transitive

Congruent figures have equal ___________ & equal ___________ .

sides, angles

commutative transformation

the order in which the transformations are performed does not matter - the resulting image will be the same

non-commutative transformation

the order in which the transformations are performed matters - the resulting image will be different if performed out of order