Similar Triangles

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, then the triangles are similar.

Front

What is the SSS criterion for triangle similarity?

Back

If the lengths of the corresponding sides of two triangles are in proportion, then 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, then the triangles are similar.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 8 cm, what is the ratio of their corresponding sides?

Back

The ratio is 1:2.

Front

How do you find the length of a side in similar triangles?

Back

Use the proportion of the lengths of corresponding sides. If triangle ABC is similar to triangle DEF, then AB/DE = AC/DF = BC/EF.

Front

What is the relationship between the areas of similar triangles?

Back

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

Front

If the sides of triangle XYZ are 3 cm, 4 cm, and 5 cm, and triangle PQR is similar to triangle XYZ with a side length of 6 cm for side PQ, what is the length of side QR?

Back

The length of side QR is 8 cm.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Front

If two triangles are similar and the length of one side of the first triangle is 10 cm and the corresponding side of the second triangle is 15 cm, what is the scale factor?

Back

The scale factor is 2:3.