Unit 4 Test Review

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but may have different sizes. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What does the SSS similarity postulate state?

Back

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

Front

What does the SAS similarity postulate state?

Back

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 the AA similarity postulate state?

Back

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

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding angles?

Back

The corresponding angles of triangle ABC and triangle DEF are equal.

Front

If the sides of triangle ABC are 3, 4, and 5, and triangle DEF is similar to triangle ABC with a scale factor of 2, what are the lengths of the sides of triangle DEF?

Back

The sides of triangle DEF are 6, 8, and 10.

Front

What is the relationship between the triangles if the sides are in the ratio 2:3 but the angles are not equal?

Back

The triangles are not similar.

Front

How do you determine if two triangles are similar using the AA postulate?

Back

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

Front

What is the significance of the similarity statement ΔYZX~ΔNWE?

Back

It indicates that triangle YZX is similar to triangle NWE, meaning their corresponding angles are equal and their sides are in proportion.

Front

If two triangles have sides of lengths 5, 12, and 13, and another triangle has sides of lengths 10, 24, and 26, are they similar?

Back

Yes, they are similar because the sides are in proportion (5:10, 12:24, 13:26).