Proving Similar Triangles

Front

What does SAS stand for in the context of triangle similarity?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side, which is a criterion for proving that two triangles are similar if all three sides of one triangle are proportional to the three sides of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle, which is a criterion for proving that two triangles are similar if two angles of one triangle are equal to two angles of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

How can you determine if two triangles are similar using the SSS criterion?

Back

To determine if two triangles are similar using the SSS criterion, check if the ratios of the lengths of corresponding sides are equal.

Tags

CCSS.HSG.SRT.B.5

Front

How can you determine if two triangles are similar using the SAS criterion?

Back

To determine if two triangles are similar using the SAS criterion, check if 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 is the significance of the AA criterion in triangle similarity?

Back

The AA criterion is significant because if two angles of one triangle are equal to two angles of another triangle, the triangles are similar regardless of the lengths of their sides.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between similar triangles and their corresponding angles?

Back

In similar triangles, corresponding angles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between similar triangles and their corresponding sides?

Back

In similar triangles, corresponding sides are proportional.

Tags

CCSS.HSG.SRT.A.2

Front

Can two triangles be similar if they do not meet any of the similarity criteria?

Back

No, two triangles cannot be similar if they do not meet any of the similarity criteria (AA, SSS, SAS).

Tags

CCSS.HSG.SRT.B.5

Front

What is an example of a real-world application of triangle similarity?

Back

An example of a real-world application of triangle similarity is in architecture, where similar triangles can be used to create scale models of buildings.

Tags

CCSS.HSG.SRT.B.5