Triangle Similarity Review

Front

What is Triangle Similarity?

Back

Triangle similarity refers to the property of two triangles having the same shape but not necessarily the same size. This means that their corresponding angles are equal and their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What does the Side-Angle-Side (SAS) Similarity Theorem state?

Back

The SAS Similarity Theorem states that if two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Angle-Angle (AA) Similarity Criterion?

Back

The AA Similarity Criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Side-Side-Side (SSS) Similarity Theorem?

Back

The SSS Similarity Theorem states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

How do you determine if two triangles are similar?

Back

To determine if two triangles are similar, you can use the AA, SAS, or SSS similarity criteria.

Tags

CCSS.HSG.SRT.B.5

Front

What does it mean for sides to be proportional?

Back

Sides are proportional when the ratios of their lengths are equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is an included angle in a triangle?

Back

An included angle is the angle formed between two sides of a triangle.

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.

Tags

CCSS.HSG.SRT.A.2

Front

If the sides of triangle ABC are 3, 4, and 5, and the sides of triangle DEF are 6, 8, and 10, are the triangles similar?

Back

Yes, triangle ABC and triangle DEF are similar because their corresponding sides are in proportion (3:6, 4:8, 5:10).

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the relationship between the areas of similar triangles?

Back

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