Ratio, Proportions and Similarity TEST MONDAY Ratio, Proportions and Similarity

1. Identify if the following statement is a proportion 45 = 11 12 3

2. The ratio of similitude of two similar triangles is 4 : 5 and the median of the bigger triangle is 30. What is the length of the corresponding median in the smaller triangle?

3. Find the mean proportional between 4x and 9x.

4. Determine if the following triangles are similar, If yes, write a similarity statement and reason.

5. Given ∆ HOT ~ ∆ DAY, are the following statements True or False? m/ T = m / Y HO = TH DA YA

6. Triangle PQR has angles in the ratio 3:4:5 6. Triangle PQR has angles in the ratio 3:4:5. What type of triangle is ∆PQR?

7. Given the lengths of a Pentagon are 4, 6, 8, 6 and 4 7. Given the lengths of a Pentagon are 4, 6, 8, 6 and 4. The length of the largest side of a similar Pentagon is 20. What is the ratio of similitude? What is the length of the smallest side of the similar pentagon?

8. Determine BC || DE

9. Given DE || BC, find the length of AD.

10. Find the length of XY. AB = 7, BC = 12, YZ = 18.