Question

1. q(2, - 3), r(5, - 3), s(5, - 5), t(2, - 5) q(8, - 12), r(20, - 12), s(20, - 20), t(8, - 20) 6. w(6, 2), x(12, 2), y(12, 4), z(8, 6) w(21, 7), x(42, 7), y(42, 14), z(28, 21) 8. which transformation(s) preserve congruence?

Explanation:

Step1: Recall congruence - preserving transformations

Rigid - motions preserve congruence. Rigid - motions include translations, rotations, and reflections. Translations move a figure without changing its shape, size, or orientation. Rotations turn a figure around a fixed point without changing its shape or size. Reflections flip a figure over a line without changing its shape or size. Dilations change the size of a figure and do not preserve congruence.

Answer:

Translations, rotations, and reflections preserve congruence.