Similarity Practice |

1)

Use the facts given in the diagram to find the ratio of:

a) ÊQTS to ÊTSR | b) ÊQTS to ÊQPS | c) ÊTRS to ÊPRS |

d) ÊTQR to ÊPQS | e) ÊTSR to ÊPTR | f) ÊTSR to ÊPTQ |

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2) In each of the diagrams, find values for x and/or y.

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3) In the two diagrams shown here, . Find the value for ** x** in both cases.

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4) The sides **AB** and **AC** in **Ê****ABC** are divided at **X** and **Y** respectively in the ratio of 3:2. Find the ratio of **Ê****ABC** to **Ê****AXY**.

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5) The areas of two similar triangles are in the ratio of 16 to 25. What is the ratio of their corresponding sides?

6) **AB** and **CD** are the parallel sides of a trapezoid **ABCD** whose diagonals intersect at **O**.

Prove that **Ê****OAB ****Ã**** ****Ê****OCD** and list the equal ratios of corresponding sides.

7) In order to find PQ, the distance across a river, we set up the triangle RST

with ST = 4.5 meters as seen here.

Use similar triangles to find the distance across the river.

8) In order to find AB, the height of a tree, Harry, who is 1.5 meters tall

stands at C thus creating the similar triangles shown here.

Find the height of the tree.

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