Similar Triangles Flashcard

Front

State the postulate that proves these triangles are similar.

Back

AA~ (Angle-Angle Similarity Postulate): If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

If the corresponding angles of two triangles are equal, are the triangles similar? (Yes/No)

Back

Yes: If the corresponding angles of two triangles are equal, the triangles are similar.

Front

What are similar triangles?

Back

Triangles that have the same shape but not necessarily the same size.

Front

Find side length X if triangle ABC is similar to triangle DEF and the sides are in the ratio 2:3. If side AB = 10, what is side DE?

Back

15: If AB = 10, then DE = (10/2) * 3 = 15.

Front

The length of RV is 5. What is the length of segment QR if triangles RST and QRS are similar?

Back

8: If RV corresponds to QR in similar triangles, and the ratio is 5:8, then QR = (5/5) * 8 = 8.

Front

What is the SSS similarity criterion?

Back

SSS (Side-Side-Side) Similarity Criterion: If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the SAS similarity criterion?

Back

SAS (Side-Angle-Side) Similarity Criterion: If two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

If triangle ABC is similar to triangle DEF, and the lengths of sides AB and DE are 4 and 8 respectively, what is the ratio of similarity?

Back

1:2: The ratio of similarity is the ratio of corresponding sides, which is 4:8 or 1:2.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

If two triangles have sides in the ratio 3:4, what can be said about their angles?

Back

The angles of the triangles are equal: The triangles are similar.