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Introduction to Proof

Question 1 • (A. Costello)WCA 5324 Geometry 1st Nine Weeks 26-27

The pre-image, ΔSTU, has undergone a type of transformation called a rigid transformation to produce the image, ΔVWX. Compare the measures of the triangles by dragging the image to the pre-image.Which measures are equal? Check all that apply.ST = VWSU = VXTU = WXm∠SUT = m∠VXWm∠TSU = m∠WVXm∠UTS = m∠XWV

Answer
A
ST = VW
B
SU = VX
C
TU = WX
D
m∠SUT = m∠VXW
E
m∠TSU = m∠WVX
F
m∠UTS = m∠XWV

Explanation

A rigid transformation preserves lengths and angle measures. The corresponding vertices are S ↔ V, T ↔ W, and U ↔ X, so each side and angle in ΔSTU has an equal corresponding measure in ΔVWX. Thus all three side equalities and all three angle equalities are true.

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