Triangle Similarity

Front

What does SAS stand for in triangle similarity?

Back

SAS stands for Side-Angle-Side, a criterion for triangle similarity where two sides of one triangle are proportional to two sides of another triangle, and the included angle is equal.

Tags

CCSS.HSG.SRT.B.5

Front

What does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle, a criterion for triangle similarity where two angles of one triangle are equal to two angles of another triangle.

Tags

CCSS.HSG.SRT.A.2

Front

What does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side, a criterion for triangle similarity where all three sides of one triangle are proportional to the three sides of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle similarity?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle similarity where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between similar triangles?

Back

Similar triangles have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Tags

CCSS.HSG.SRT.A.2

Front

If two triangles are similar by AA, what can be said about their sides?

Back

If two triangles are similar by AA, their corresponding sides are proportional.

Tags

CCSS.HSG.SRT.A.2

Front

Can triangles be similar if they do not have any equal angles?

Back

No, triangles cannot be similar if they do not have any equal angles.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the significance of the AA similarity postulate?

Back

The AA similarity postulate 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

How can you prove triangles are similar using SAS?

Back

To prove triangles are similar using SAS, show that two sides of one triangle are proportional to two sides of another triangle and that the included angles are equal.

Tags

CCSS.HSG.SRT.B.5

Front

What is the difference between congruent and similar triangles?

Back

Congruent triangles are identical in size and shape, while similar triangles have the same shape but may differ in size.

Tags

CCSS.8.G.A.2