Similar Triangles

Front

What are similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of their corresponding sides are proportional.

Front

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

Back

Two triangles are similar if they satisfy one of the following criteria: Angle-Angle (AA), Side-Angle-Side (SAS), or Side-Side-Side (SSS) similarity.

Front

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

Back

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

Front

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

Back

If two triangles are similar, their corresponding angles are equal.

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 of their corresponding sides is 10:5, which simplifies to 2:1.

Front

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

Back

The SAS similarity criterion states that if one angle of a triangle is equal to one angle of another triangle and the sides including those angles are in proportion, then the triangles are similar.

Front

What is the Angle-Angle (AA) similarity criterion?

Back

The AA similarity criterion states that 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

The SSS similarity criterion states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

How can you determine if two triangles are not similar?

Back

Two triangles are not similar if their corresponding angles are not equal or if the ratios of their corresponding sides are not equal.

Front

What is the relationship between the areas of two similar triangles?

Back

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.