Flashcard 1: Similar Triangles Part 1

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 AA criterion for triangle similarity?

Back

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

Front

What is the SAS criterion for triangle similarity?

Back

If two sides of one triangle are in proportion to two sides of another triangle, and the included angles are equal, the triangles are similar.

Front

What is the SSS criterion for triangle similarity?

Back

If the three sides of one triangle are in proportion to the three sides of another triangle, the triangles are similar.

Front

How do you determine if triangles are similar using proportions?

Back

Set up a proportion comparing the lengths of corresponding sides and check if the ratios are equal.

Front

If triangle ABC is similar to triangle DEF, and AB = 4, AC = 6, and DE = 8, what is the length of DF?

Back

DF = 12 (using the ratio of similarity: 4/8 = 6/X).

Front

What is a scale factor in similar triangles?

Back

The ratio of the lengths of corresponding sides of two similar triangles.

Front

If the scale factor of triangle ABC to triangle DEF is 2, and AB = 5, what is DE?

Back

DE = 10 (since DE = AB * scale factor = 5 * 2).

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

If triangle XYZ is similar to triangle PQR, and angle X = 30°, what is angle P?

Back

Angle P = 30° (corresponding angles are equal in similar triangles).