Triangle Similarity Review

Front

What does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle similarity, which states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What does SAS stand for in triangle similarity?

Back

SAS stands for Side-Angle-Side similarity, which states that 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 does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side similarity, which states that if the three sides of one triangle are in proportion to the three sides of another triangle, the triangles are similar.

Front

If two triangles have one angle equal and the other two angles are not known, are they similar?

Back

Yes, they are similar by the AA criterion.

Front

How do you find the height of a building using similar triangles?

Back

You can use the ratio of the heights of two similar triangles to find the height of the building by setting up a proportion.

Front

If triangle ABC is similar to triangle DEF, and the lengths of AB and DE are 4 and 8 respectively, what is the ratio of their corresponding sides?

Back

The ratio of their corresponding sides is 1:2.

Front

If two triangles are similar and the length of one side of the first triangle is 6 and the corresponding side of the second triangle is 12, what is the scale factor?

Back

The scale factor is 2.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

If triangle XYZ is similar to triangle PQR, and the length of XY is 5 and the length of PQ is 10, what can you say about the lengths of the other sides?

Back

The lengths of the other sides will also be in the ratio of 1:2.

Front

What is the first step to prove that two triangles are similar?

Back

Identify at least one pair of equal angles.