Similar Triangles

Front

What is the SSS Postulate for Similar Triangles?

Back

The SSS (Side-Side-Side) Postulate states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the SAS Postulate for Similar Triangles?

Back

The SAS (Side-Angle-Side) Postulate states that 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

What is the AA Postulate for Similar Triangles?

Back

The AA (Angle-Angle) Postulate states that 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 triangles to be 'Not Similar'?

Back

Triangles are 'Not Similar' if their corresponding angles are not equal and their corresponding sides are not in proportion.

Front

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

Back

The corresponding angles of similar triangles are equal.

Front

If the sides of triangle ABC are 3, 4, and 5, and triangle DEF is similar to it, what can be the sides of triangle DEF if the shortest side is 6?

Back

The sides of triangle DEF would be 6, 8, and 10, maintaining the same ratio.

Front

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

Back

To find the length of a side in similar triangles, set up a proportion using the lengths of corresponding sides.

Front

If triangle XYZ has sides 10, 15, and 20, and triangle PQR is similar to it, what is the ratio of their sides?

Back

The ratio of the sides of triangle PQR to triangle XYZ is k:1, where k is the scale factor.

Front

What is a scale factor in similar triangles?

Back

A scale factor is the ratio of the lengths of corresponding sides of two similar triangles.

Front

If two triangles have a scale factor of 2, what does this mean for their areas?

Back

If the scale factor is 2, the area of the larger triangle is 4 times the area of the smaller triangle.