Name:    Lesson 2 - Determining Similarity

1.

Shape A is similar to Shape B. Which ratio represents the relationship between the corresponding sides?

 a. 1 : 1.5 b. 1 : 2 c. 3 : 4 d. 2 : 3

2.

Shape C is similar to Shape D. Which ratio represents the relationship between the corresponding sides?

 a. 1 : 2 b. 1 : 3 c. 2 : 3 d. 2 : 1

3.

is similar to . Which side on corresponds to side BC on ?

 a. EF b. DE c. DF

4.

Refer to the triangles in question 3. Suppose the ratio of to is 1 : 5. Determine the length of side DE in .
 a. 32 cm b. 35 cm c. 27 cm d. 30 cm

5.

is similar to . Which side in corresponds to side KL in ?

 a. PR b. QR c. PQ

6.

Refer to the triangles in question 5. Suppose the ratio of to is 3 : 2. Determine the length of side PR in .
 a. 12.0 cm b. 10.0 cm c. 6.0 cm d. 8.0 cm

7.

 a. AB b. AD c. DC d. BC

8.

Refer to the quadrilaterals in question 7. Suppose the ratio of Quadrilateral TUVW to Quadrilateral ABCD is 4 : 1. Determine the length of side AD in Quadrilateral ABCD.
 a. 3.0 cm b. 5.0 cm c. 4.0 cm d. 2.0 cm

9.

Refer to the quadrilaterals in question 7. Which angle in Quadrilateral ABCD corresponds to TWV in Quadrilateral TUVW?
 a. DCB b. CBA c. ADC d. BAC

10.

Refer to the quadrilaterals in question 7. Use your answer to question 9 to determine the measure of TWV.
 a. 79° b. 107° c. 22° d. 152°