Similar Triangles Missing Side

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 Side-Side-Side (SSS) similarity criterion?

Back

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

Front

What is the Angle-Angle (AA) similarity criterion?

Back

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

Front

How do you find the missing side of similar triangles?

Back

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

Front

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

Back

The ratio of their sides is 1:2.

Front

If two triangles are similar, what can be said about their areas?

Back

The ratio of their areas is the square of the ratio of their corresponding sides.

Front

What is a proportion in the context of similar triangles?

Back

A statement that two ratios are equal, often used to find missing side lengths in similar triangles.

Front

If triangle XYZ is similar to triangle PQR, and XY = 6 cm, PR = 9 cm, what is the length of side YZ if side QR = 12 cm?

Back

YZ = 8 cm.

Front

What is the formula for finding the area of a triangle?

Back

Area = 1/2 * base * height.

Front

If the sides of triangle ABC are 3 cm, 4 cm, and 5 cm, and triangle DEF is similar to ABC with a scale factor of 2, what are the lengths of the sides of triangle DEF?

Back

The sides of triangle DEF are 6 cm, 8 cm, and 10 cm.