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Question
- a(14, 2), b(18, 6), c(22,2)
a(3.5, 0.5), b(4.5, 1.5), c(5.5, 0.5)
- q(2, -3), r(5, -3), s(5, -5), t(2, -5)
q(8, -12), r(20, -12), s(20, -20),
t(8, -20)
- w(6, 2), x(12, 2), y(12, 4), z(8, 6)
w(21, 7), x(42, 7), y(42, 14), z(28, 21)
- which transformation(s) preserve congruence?
Step1: Recall congruence - preserving transformations
Rigid - motions (isometries) preserve congruence. These include translations, rotations, and reflections.
Step2: Analyze the nature of transformations
Translations move every point of a figure the same distance in the same direction. Rotations turn a figure around a fixed point. Reflections flip a figure over a line. Dilations change the size of a figure and do not preserve congruence.
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Translations, rotations, and reflections.