Take home Flashcard Chapter 2/part 2

Front

What is the measurement of angle X in similar pentagons JKLMN and VWXYZ?

Back

120 degrees.

Front

What is the ratio of corresponding sides PQ and DE in similar triangles PQR and DEF?

Back

PQ 4 : DE 6.

Front

True or False: Any 2 pairs of corresponding sides are proportional and the included angles are congruent (SAS Similarity).

Back

True.

Front

Which theorem states that if all three sides of one triangle are proportional to the corresponding sides of another triangle, the triangles are similar?

Back

SSS (Side-Side-Side) Similarity Theorem.

Front

Which theorem states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar?

Back

AA (Angle-Angle) Similarity Theorem.

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but may differ in size; their corresponding angles are equal and their corresponding sides are proportional.

Front

If triangle ABC is similar to triangle DEF, and AB = 4 cm, DE = 6 cm, what is the ratio of their areas?

Back

The ratio of their areas is (AB/DE)² = (4/6)² = 16/36 = 4/9.

Front

What is the relationship between the angles of similar polygons?

Back

The corresponding angles of similar polygons are equal.

Front

If two triangles have one angle equal and the sides including that angle are proportional, what theorem applies?

Back

SAS (Side-Angle-Side) Similarity Theorem.

Front

What is the significance of the AA similarity theorem?

Back

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