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Now that you have proven the two triangles are congruent, are the following statements true or false?

Now that you have proven the two triangles are congruent, are the following statements true or false? Explain how you know.
True or False: ∠ZWY = ∠YMW
True or False: ∠ZWY = ∠XWY
5. The triangles are congruent. Which sequence of rigid motions takes triangle DEF onto triangle BAC?
a. Translate DEF using directed line segment EA. Rotate D'E'F' around point A until D' coincides with C. Reflect D'E'F' across line AC.
b. Translate DEF using directed line segment EA. Rotate D'E'F' around point A until D' coincides with C. Reflect D'E'F' across line AB.
c. Translate DEF using directed line segment EB. Reflect D'E'F' across line AB.
d. Translate DEF using directed line segment EB. Rotate D'E'F' around point A until D' coincides with B. Reflect D'E'F' across line AB.

Answer

True or False: ∠ZWY = ∠YMW
True. Since the triangles are congruent, corresponding angles are equal.

True or False: ∠ZWY = ∠XWY
False. ∠ZWY and ∠XWY are not corresponding angles in the congruent triangles.

5. The triangles are congruent. Which sequence of rigid motions takes triangle DEF onto triangle BAC?

  1. d. Translate DEF using directed line segment EB. Rotate D'E'F' around point A until D' coincides with B. Reflect D'E'F' across line AB.

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