Ch 7 Review: Similarity

Part 1 #1: Polygon ABCD is similar to polygon PQRS. Which proportion must be true?

• $AC:AD=PQ:PS$

• $BC:CD=QR:RS$

• $AB:BD=PQ:QR$

• $CD:AB=PQ:RS$

Part 1 #2: This fall, 126 students participated in the soccer program, while 54 played volleyball. What was the ratio of soccer players to volleyball players?

• $\frac{3}{4}$

• $\frac{3}{7}$

• $\frac{4}{3}$

• $\frac{7}{3}$

Part 1 #3: The ratio of the measures of the angles of a triangle is 2:3:10. What is the least angle measure?

• 12

• 15

• 24

• 36

Part 1 #4: Find the value of x

• 2

• 4.8

• 6

• 6.4

Part 1 #5: Rectangle ABCD ~ rectangle EFGH, the perimeter of ABCD is 54 centimeters and the perimeter of EFGH is 36 centimeters. What is the scale factor of ABCD to EFGH?

• 2/3

• 3/2

• 3/5

• 5/3

Part II #6: Determine whether the triangles are similar. Justify your answer.

• Yes- AA

• Yes- SAS

• No- Angles not congruent

• No- SAS doesn't work

Part II #7: Determine whether the triangles are similar. Justify your answer.

• Yes- AA

• Yes- SAS

• No- Sides not proportional

• No- Don't know 3rd side

Part II #8: Determine whether MN ║ KL. Justify your answer.

• Yes... 6/3=8/4

• Yes... 6+3=8+4

• No... $4\ne3$

• No... $6+8\ne3+4$

Part II #9: Find DE.

• 10

• 9

• 12

• 6

Part II #10: A rectangle has a perimeter of 14 inches. A similar rectangle has a perimeter of 10 inches. If the length of the larger rectangle is 4 inches, what is the length of the smaller rectangle? Round to the nearest tenth.

• 2.9 in

• 5.6 in

• 4 in

• 1 in