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) 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

What is the Side-Side-Side (SSS) similarity criterion?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the Side-Angle-Side (SAS) similarity criterion?

Back

If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

All corresponding angles are congruent.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 8 cm, what is the ratio of their corresponding sides?

Back

The ratio is 1:2.

Tags

CCSS.HSG.SRT.A.2

Front

What is the sum of the angles in any triangle?

Back

180 degrees.

Tags

CCSS.8.G.A.5

Front

If the lengths of the sides of triangle ABC are 3 cm, 4 cm, and 5 cm, what is the length of the corresponding side in a similar triangle with a side of 6 cm?

Back

The corresponding side is 4.5 cm.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

Back

Tags

CCSS.7.RP.A.3

Front

True or False: The ratios of the areas of two similar triangles are equal to the square of the ratios of their corresponding sides.

Back

True.