Similar Triangles Practice

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 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 (AA ~).

Front

What is the SSS criterion for triangle similarity?

Back

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

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 (SAS ~).

Front

If triangle ABC is similar to triangle DEF, and AB = 6, AC = 9, and DE = 12, what is the length of DF?

Back

DF = 8 (Using the proportion of sides in similar triangles).

Front

What is a midsegment in a triangle?

Back

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

Front

If AB is a midsegment of triangle XYZ, and XY = 20, what is the length of AB?

Back

AB = 10 (Half the length of the third side).

Front

How do you determine if two triangles are not similar?

Back

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

Front

If two triangles have a corresponding angle of 60 degrees and the sides opposite to these angles are in the ratio 2:3, are the triangles similar?

Back

No, they are not similar because only one angle is given and the sides are not in proportion.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.