Angles in Similar Triangles

Front

What are 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.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the relationship between corresponding angles in similar triangles?

Back

Corresponding angles in similar triangles are congruent (equal in measure).

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between corresponding sides in similar triangles?

Back

Corresponding sides in similar triangles are proportional (the ratios of their lengths are equal).

Tags

CCSS.HSG.SRT.A.2

Front

If triangle A is similar to triangle B, what can we say about their angles?

Back

All corresponding angles of triangle A and triangle B are equal.

Tags

CCSS.HSG.SRT.A.2

Front

If two triangles have one angle equal and the sides including that angle are proportional, what can we conclude?

Back

The triangles are similar.

Tags

CCSS.HSG.SRT.A.2

Front

In similar polygons, what is true about the ratios of their corresponding sides?

Back

The ratios of their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If triangle A has sides of lengths 3, 4, and 5, and triangle B has sides of lengths 6, 8, and 10, are they similar?

Back

Yes, triangle A and triangle B are similar because the sides are in proportion (3:6, 4:8, 5:10).

Tags

CCSS.HSG.SRT.A.2

Front

What does it mean if two figures are similar?

Back

It means they have the same shape but may differ in size, with corresponding angles equal and corresponding sides proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

True or False: In similar figures, corresponding sides must be equal in length.

Back

False. In similar figures, corresponding sides must be proportional, not necessarily equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the Angle-Angle (AA) similarity criterion?

Back

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

Tags

CCSS.HSG.SRT.A.2