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 proportional.

Front

What is the Angle-Angle (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 does it mean for sides in similar triangles to be proportional?

Back

The ratios of the lengths of corresponding sides of similar triangles are equal.

Front

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

Back

The ratio of their sides is 1:2.

Front

What is the sum of the angles in any triangle?

Back

180 Degrees.

Front

If two triangles have sides of lengths 3, 4, and 5, and 6, 8, and 10, are they similar?

Back

Yes, because the sides are in proportion (1:2).

Front

How do you find a missing side in similar triangles?

Back

Set up a proportion using the lengths of the corresponding sides and solve for the unknown.

Front

What is the Side-Side-Side (SSS) criterion for triangle similarity?

Back

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

Front

If triangle XYZ is similar to triangle PQR, and XY = 5, YZ = 10, and PQ = 10, what is the length of QR?

Back

QR = 20, because the sides are proportional.

Front

What is the Side-Angle-Side (SAS) criterion for triangle similarity?

Back

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