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 does AA similarity criterion stand for?

Back

AA stands for Angle-Angle similarity criterion, which states that 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 does SSS similarity criterion stand for?

Back

SSS stands for Side-Side-Side similarity criterion, which states that if the lengths of the corresponding sides of two triangles are proportional, the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS similarity criterion stand for?

Back

SAS stands for Side-Angle-Side similarity criterion, which states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

How can you determine if two triangles are not similar?

Back

If none of the similarity criteria (AA, SSS, SAS) are satisfied, the triangles are not similar.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have two pairs of equal angles, what can be concluded?

Back

The triangles are similar by the AA similarity criterion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

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

Back

Yes, they are similar by the SSS similarity criterion because the sides are in proportion (1:2).

Tags

CCSS.HSG.SRT.B.5

Front

If triangle C has angles of 30°, 60°, and 90°, and triangle D has angles of 30°, 60°, and 90°, are they similar?

Back

Yes, they are similar by the AA similarity criterion.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the corresponding sides of similar triangles?

Back

The corresponding sides of similar triangles are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If triangle E has sides of 5, 12, and 13, and triangle F has sides of 10, 24, and 26, are they similar?

Back

Yes, they are similar by the SSS similarity criterion because the sides are in proportion (1:2).

Tags

CCSS.HSG.SRT.A.2