Similar Triangles - Proportion 5Q

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) criterion for similarity?

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-Side-Side (SSS) criterion for similarity?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

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

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

If line BC is parallel to line DE, what can be said about the angles formed with a transversal?

Back

The corresponding angles are equal, and the alternate interior angles are equal.

Front

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

Back

Use the proportion of the lengths of corresponding sides to set up a ratio and solve for the unknown length.

Front

If triangle ABC is similar to triangle DEF, and AB = 4 cm, DE = 8 cm, what is the ratio of their areas?

Back

The ratio of their areas is the square of the ratio of their corresponding sides, which is (4/8)² = 1/4.

Front

What is the relationship between the ratios of the sides of similar triangles?

Back

The ratios of the lengths of corresponding sides of similar triangles are equal.

Front

If triangle ABC is similar to triangle DEF and the length of side AC is 10 cm while side DF is 5 cm, what is the scale factor?

Back

The scale factor is 10/5 = 2.

Front

How do you determine if two triangles are similar using their angles?

Back

Check if two angles of one triangle are equal to two angles of another triangle.