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 in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

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

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

What are corresponding angles?

Back

Angles that are in the same position in different triangles when the triangles are compared.

Tags

CCSS.8.G.A.2

Front

What is the relationship between the sides of similar triangles?

Back

The ratios of the lengths of corresponding sides of similar triangles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

If two triangles are similar, what can be said about their areas?

Back

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

Front

What is the sum of the angles in a triangle?

Back

180 degrees.

Tags

CCSS.8.G.A.5

Front

Can a triangle with angles measuring 150°, 110°, and 100° exist?

Back

No, because the sum of the angles exceeds 180°.

Tags

CCSS.8.G.A.5

Front

If two triangles have one angle equal and the sides including that angle are in proportion, what can be concluded?

Back

The triangles are similar (Side-Angle-Side or SAS criterion for similarity).

Tags

CCSS.HSG.SRT.A.2

Front

What is the definition of congruent angles?

Back

Angles that have the same measure.

Tags

CCSS.8.G.A.2

Front

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

Back

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

Tags

CCSS.HSG.SRT.A.2