3.4 - Angles in Similar Triangles

Front

In similar polygons, corresponding sides are ___ and corresponding angles are ___.

Back

proportional, congruent

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

Sides in similar figures must be proportional. True or False?

Back

True

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

Are the following triangles similar? Why or why not?

Back

Yes. All pairs of corresponding angles are congruent.

Tags

CCSS.HSG.SRT.A.2

Front

Which triangles are similar to triangle A?

Back

B

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

Are the triangles similar by angle-angle similarity?

Back

No

Tags

CCSS.HSG.SRT.A.2

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but not necessarily the same size, with corresponding angles equal and corresponding sides proportional.

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

Front

If triangle ABC is similar to triangle DEF, what can we say about their corresponding angles?

Back

Angle A = Angle D, Angle B = Angle E, Angle C = Angle F.

Tags

CCSS.HSG.SRT.A.2

Front

If the sides of triangle GHI are 4, 6, and 8, and the sides of triangle JKL are 2, 3, and 4, are they similar?

Back

Yes, because the ratios of the corresponding sides are equal (2:4, 3:6, 4:8).

Tags

CCSS.HSG.SRT.A.2

Front

What does it mean for sides to be proportional in similar triangles?

Back

The lengths of corresponding sides of similar triangles have the same ratio.

Tags

CCSS.HSG.SRT.A.2