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 proportional.

Front

If two figures are similar, the corresponding sides are ______________.

Back

proportional

Front

State the postulate that proves these triangles are similar: SSS, AA, SAS, Not similar.

Back

SAS (Side-Angle-Side) Postulate.

Front

A power pole 10 m tall casts a shadow 8 meters long. If a building casts a shadow 14 m long, how tall is the building?

Back

17.5 m

Front

What is the ratio of the sides of similar triangles?

Back

The ratio of the lengths of corresponding sides is constant.

Front

What does AA stand for in triangle similarity?

Back

Angle-Angle; if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

How do you find the height of an object using similar triangles?

Back

Set up a proportion using the heights and shadow lengths of the objects.

Front

What is the significance of the SSS postulate?

Back

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

Front

If triangle ABC is similar to triangle DEF, what can be said about their angles?

Back

Angle A = Angle D, Angle B = Angle E, Angle C = Angle F.

Front

What is the formula for finding the height of a building using similar triangles?

Back

Height of building / Length of shadow = Height of pole / Length of shadow of pole.