Similar Triangles and Proportions Flashcard

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 Angle-Angle (AA) similarity criterion?

Back

If two angles of one triangle are congruent to two angles of another triangle, the triangles are similar.

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 Side-Angle-Side (SAS) similarity criterion?

Back

If one angle of a triangle is congruent to one angle of another triangle and the sides including these angles are in proportion, the triangles are similar.

Front

How do you find the scale factor between two similar triangles?

Back

The scale factor is found by dividing the lengths of corresponding sides of the triangles.

Front

If triangle ABC is similar to triangle DEF, and AB = 4 ft, DE = 2 ft, what is the scale factor?

Back

The scale factor is 1/2.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

If 2/3 = x/12, what is the value of x?

Back

x = 8.

Front

What does it mean if two triangles are not similar?

Back

It means that their corresponding angles are not equal or their corresponding sides are not in proportion.

Front

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

Back

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