Similar Triangles Practice

Front

What is the criteria for determining if two triangles are similar?

Back

The criteria for triangle similarity include: 1. SSS (Side-Side-Side): If the corresponding sides of two triangles are proportional. 2. SAS (Side-Angle-Side): If two sides of one triangle are proportional to two sides of another triangle and the included angles are equal. 3. AA (Angle-Angle): If two angles of one triangle are equal to two angles of another triangle.

Front

In similar polygons, what is true about corresponding sides and angles?

Back

In similar polygons, corresponding sides are proportional and corresponding angles are congruent.

Front

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

Back

If two figures are similar, their corresponding sides are proportional.

Front

What does SSS similarity criterion stand for?

Back

SSS stands for Side-Side-Side, which means that if the three sides of one triangle are proportional to the three sides of another triangle, the triangles are similar.

Front

What does SAS similarity criterion stand for?

Back

SAS stands for Side-Angle-Side, which means that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

What does AA similarity criterion stand for?

Back

AA stands for Angle-Angle, which means that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

If segments AB & CD are parallel, what can be inferred about the triangles formed?

Back

If segments AB & CD are parallel, then overlapping, similar triangles are formed.

Front

Fill in the blanks: In similar polygons, corresponding sides are __ and corresponding angles are __.

Back

In similar polygons, corresponding sides are proportional and corresponding angles are congruent.

Front

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

Back

The areas of similar triangles are proportional to the square of the lengths of their corresponding sides.

Front

If triangle ABC has sides of lengths 3, 4, and 5, and triangle DEF is similar to triangle ABC with a side length of 6, what is the length of the corresponding side in triangle DEF?

Back

If triangle ABC has sides of lengths 3, 4, and 5, and triangle DEF is similar with a side length of 6, the corresponding side in triangle DEF is 6 (since the triangles are similar, the sides are proportional).