similar triangles. similar triangles have the same shape, but not necessarily the same size. two...

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Similar Triangles

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Page 1: Similar Triangles. Similar triangles have the same shape, but not necessarily the same size. Two main tests for similarity: 1)If the angles of 1 triangle

Similar Triangles

Page 2: Similar Triangles. Similar triangles have the same shape, but not necessarily the same size. Two main tests for similarity: 1)If the angles of 1 triangle

Similar Triangles

• Similar triangles have the same shape, but not necessarily the same size.

• Two main tests for similarity:

1) If the angles of 1 triangle and the corresponding angles of a 2 triangle have equal measures, then the triangles are similar

2) If the measures of the sides of 2 triangles form equal ratios, or are proportional, then the triangles are similar

Page 3: Similar Triangles. Similar triangles have the same shape, but not necessarily the same size. Two main tests for similarity: 1)If the angles of 1 triangle

Similar Triangles

• If 2 triangles are similar, then the measures of their corresponding sides are proportional, and the measures of their corresponding angles are equal.

Page 4: Similar Triangles. Similar triangles have the same shape, but not necessarily the same size. Two main tests for similarity: 1)If the angles of 1 triangle

Similar Triangles?

Page 5: Similar Triangles. Similar triangles have the same shape, but not necessarily the same size. Two main tests for similarity: 1)If the angles of 1 triangle

Find missing measures

Page 6: Similar Triangles. Similar triangles have the same shape, but not necessarily the same size. Two main tests for similarity: 1)If the angles of 1 triangle

Find Missing Measures

Page 7: Similar Triangles. Similar triangles have the same shape, but not necessarily the same size. Two main tests for similarity: 1)If the angles of 1 triangle

• Jenelle is standing near the Washington Monument in Washington, D.C. The shadow of the monument is 302.5 ft, and Jenelle’s shadow is 3 ft. If Jenelle is 5.5 ft tall, how tall is the monument?

Page 8: Similar Triangles. Similar triangles have the same shape, but not necessarily the same size. Two main tests for similarity: 1)If the angles of 1 triangle

Practice

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