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Ratio, Proportions and Similarity
TEST MONDAY Ratio, Proportions and Similarity
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1. Identify if the following statement is a proportion
45 =
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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?
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3. Find the mean proportional between 4x and 9x.
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4. Determine if the following triangles are similar, If yes, write a similarity statement and reason.
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5. Given ∆ HOT ~ ∆ DAY, are the following statements True or False?
m/ T = m / Y HO = TH DA YA
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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?
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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?
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8. Determine BC || DE
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9. Given DE || BC, find the length of AD.
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10. Find the length of XY. AB = 7, BC = 12, YZ = 18.
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