Unit 5 Test (Similarity)

Front

What does AA ~ mean in triangle similarity?

Back

AA ~ means that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What does SAS ~ mean in triangle similarity?

Back

SAS ~ means that 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

What does SSS ~ mean in triangle similarity?

Back

SSS ~ means that if the three sides of one triangle are in proportion to the three sides of another triangle, then the triangles are similar.

Front

How do you determine if two triangles are not similar?

Back

Two triangles are not similar if their corresponding angles are not equal or their sides are not in proportion.

Front

What is the ratio of the perimeters of two similar triangles?

Back

The ratio of the perimeters of two similar triangles is equal to the ratio of their corresponding sides.

Front

If triangle ABC is similar to triangle DEF, and the length of AB is 8 cm and DE is 20 cm, what is the ratio of AB to DE?

Back

The ratio of AB to DE is 8:20 or simplified to 2:5.

Front

If two triangles are similar and the length of one side of the first triangle is 12 cm, and the corresponding side of the second triangle is 30 cm, what is the scale factor?

Back

The scale factor is 12:30 or simplified to 2:5.

Front

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

Back

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

Front

If triangle XYZ is similar to triangle PQR, and the area of triangle XYZ is 36 cm², what is the area of triangle PQR if the ratio of their sides is 2:3?

Back

The area of triangle PQR is 36 * (3/2)² = 36 * 9/4 = 81 cm².

Front

What is the significance of the included angle in SAS similarity?

Back

The included angle in SAS similarity is crucial because it must be equal for the triangles to be considered similar.