Name _______________________

7.1. Properties of Similarity

Tell whether the pairs of figures below are congruent, similar, or neither.

Name the corresponding parts to those given below.

7.

8.

9.

Use the relationships between congruent figures to find the measure of . Show your work.

10.

Use the relationships between congruent figures to find the measure of . Show your work.

11.

Answer each of the following questions.

12. Triangles  and  are congruent. If the measure of angle  is , what is the measure of angle  if it corresponds to angle ?

13. True or false, if triangles  and  are similar, then the side lengths may be different but the angle measures are the same?

14. True or false, similar figures have exactly the same size and shape?

15. True or false, congruent figures are exactly the same in every way?

16. Triangles  and  are similar. If this is true, then the side lengths are the same. Is this true or false?

17. What is a proportion?

18. True or false, to figure out if two figures are similar, see if their side lengths form a proportion?

19. Define similar figures.

20. Define congruent figures.