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 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

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

What is dilation in geometry?

Back

A transformation that alters the size of a figure while maintaining its shape. It can be an enlargement or a reduction.

Front

If a triangle is dilated by a scale factor of 1/2, what happens to its size?

Back

The triangle becomes smaller.

Front

What is the ratio of corresponding sides in similar triangles?

Back

The ratio of corresponding sides in similar triangles is constant and equal to the ratio of any two corresponding sides.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 10 and side DE is 5, what is the ratio of their corresponding sides?

Back

The ratio is 10:5 or 2:1.

Front

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

Back

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.