CB 4-17a Similar Triangles Proofs Review

Front

What is the definition of 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 ~ stand for in triangle similarity?

Back

AA ~ stands for 'Angle-Angle Similarity', 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.B.5

Front

What does SAS ~ stand for in triangle similarity?

Back

SAS ~ stands for 'Side-Angle-Side Similarity', which states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS ~ stand for in triangle similarity?

Back

SSS ~ stands for 'Side-Side-Side Similarity', which states that if the corresponding sides of two triangles are in proportion, the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself, which is often used in proofs.

Tags

CCSS.HSG.SRT.B.5

Front

How can you prove that two triangles are similar using AA?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

How can you prove that two triangles are similar using SAS?

Back

If two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are similar by the SAS criterion.

Tags

CCSS.HSG.SRT.B.5

Front

How can you prove that two triangles are similar using SSS?

Back

If the lengths of the corresponding sides of two triangles are in proportion, then the triangles are similar by the SSS criterion.

Tags

CCSS.HSG.SRT.B.5

Front

What is the importance of corresponding angles in similar triangles?

Back

Corresponding angles in similar triangles are equal, which is a key criterion for establishing triangle similarity.

Tags

CCSS.HSG.SRT.A.2

Front

What is the significance of proportional sides in similar triangles?

Back

In similar triangles, the lengths of corresponding sides are proportional, which helps in solving problems related to triangle similarity.

Tags

CCSS.HSG.SRT.A.2