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 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

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 Side-Angle-Side (SAS) similarity criterion?

Back

If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.

Front

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

Back

The lengths of their corresponding sides are proportional.

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

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

Back

Set up a proportion using the lengths of the corresponding sides of the similar triangles.

Front

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

Back

YZ = (6/9) * 12 = 8 cm.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

If the angles of triangle GHI are 30°, 60°, and 90°, what are the angles of a similar triangle?

Back

The angles will also be 30°, 60°, and 90°.