Retest/Review: Similar Triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but may have different sizes. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is the AA criterion for triangle similarity?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What is the SAS criterion for triangle similarity?

Back

If two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

What is the SSS criterion for triangle similarity?

Back

If the three sides of one triangle are in proportion to the three sides of another triangle, the triangles are similar.

Front

How do you find the height of an object using shadows?

Back

Use the proportion of the height of the object to the length of its shadow, and set it equal to the proportion of the height of another object to its shadow length.

Front

If a 72 ft tree casts a 12 ft shadow, what is the height of a tree that casts a 5 ft shadow?

Back

30 ft.

Front

If a 6 ft person casts a 2 ft shadow, how tall is a flagpole that casts a 10 ft shadow?

Back

30 ft.

Front

What does it mean if two triangles are not similar?

Back

It means that their corresponding angles are not equal, and/or their corresponding sides are not in proportion.

Front

If two triangles have sides of lengths 8 and 12, and the corresponding sides of another triangle are 12 and 18, are they similar?

Back

Yes, they are similar because the sides are in proportion (8/12 = 12/18).

Front

What is the formula to find the height of an object using similar triangles?

Back

Height = (Height of first object / Length of first shadow) * Length of second shadow.