Similar Triangles Review

Front

What are similar triangles?

Back

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

Front

What does AA similarity criterion state?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar (AA∼).

Front

What does SSS similarity criterion state?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar (SSS∼).

Front

What does SAS similarity criterion state?

Back

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

Front

How can you determine if triangles are not similar?

Back

If none of the similarity criteria (AA, SSS, SAS) are satisfied, the triangles are not similar.

Front

What is a midsegment in a triangle?

Back

A segment that connects the midpoints of two sides of a triangle, which is parallel to the third side and half its length.

Front

If a midsegment is 10 units long, what is the length of the third side?

Back

20 units, because the midsegment is half the length of the third side.

Front

How do you find the missing side length in similar triangles?

Back

Set up a proportion using the lengths of corresponding sides and solve for the missing length.

Front

If triangle ABC is similar to triangle DEF, and AB = 6, DE = 12, what is the ratio of their sides?

Back

The ratio of their sides is 1:2.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.