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IM Geo.3.5 Practice: Splitting Triangle Sides with Dilation, Part 1

What is the measure of angle A'B'C?

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Triangle DEF is formed by connecting the midpoints of the sides of triangle ABC.

The lengths of the sides of  are shown. What is the length of ?

There is an angle ABC.

It is taken by a dilation with center  and scale factor  to angle . The measure of angle  is . What is the measure of angle ?

Draw 2 lines that could be the image of line m by a dilation.

Label the lines and .

Is it possible for polygon ABCDE to be dilated to figure VWXYZ?

Explain your reasoning.

Triangle XYZ is scaled and the image is X'Y'Z'.

Write 2 equations that could be used to solve for 

Lin is using the diagram to prove the statement, “If a parallelogram has one right angle, it is a rectangle.”

Given that  is a parallelogram and angle  is a right angle, write a statement that will help prove angle  is also a right angle.

Han then states that the 2 triangles created by diagonal  must be congruent. Help Han write a proof that triangle  is congruent to triangle .