1. Name 4 sets of supplementary angles in Part 1.

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   ​\angle A and \angle B; \angle B and \angle C; \angle C and \angle D; and \angle D and \angle A.

2. What is the sum of the measures of supplementary angles? Why?

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   180\unicode{x00b0} because they form a straight line.

3. Name 2 sets of vertical angles in Part 1.

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   \angle A and \angle C; and \angle B and \angle D.​

4. What is true about the measures of vertical angles?

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   They are equal. 

5. In Part 2, \Delta ABC was translated to \Delta A'B'C'. Is \overline{AB} congruent to \overline{A'B'}​? How do you know?

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   Yes because translations do not change the length of a line.
   

6. Is m\angle A equal to m\angle A'​? How do you know?

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   Yes because translations do not change the measure of an angle.
   

7. Is \Delta ABC congruent to \Delta A'B'C'? Why?

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   Yes because the image is congruent to the pre-image after a translation.
   

8. In Part 3, \Delta DEF was dilated by a scale factor of 2 to create \Delta D'E'F'​. Are these triangles congruent or similar?

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   Similar.
   

9. Why is 2x+10=x+30​ a true equation?

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   ​It is a true equation because corresponding angles are congruent in similar figures.
   

10. What action do you need to make to create the equivalent equation x+10=30​?

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    Subtract x on both sides.
    

11. What is another action you can take to combine the terms with variable x​ on the same side to create x + 10 = 30?

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    Subtract 2x on both sides. 

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