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Similar Triangles Exercises

Example 1

Given: ABBDDCCA, ∠A ≅ ∠B ≅ ∠C ≅ ∠D, and EFGH is a square. Determine whether these two polygons are similar.

Example 2

Determine whether JLMO ~ JKNO.

Example 3

Determine whether these shapes are similar.

Example 4

These polygons are similar. Find the value of x.

Example 5

PQRS and QVST are similar rhombi. If QV = 8, RS = 20, and TV = 6, what is the length of QS?

Example 6

PQRS and QVST are similar rhombi. If PQ = 12, ST = 4, and QS = 6, what is the length of UR?

Example 7

PQRS and QVST are similar rhombi. If TV = 5 and QS = 10, what is the length of PR?