Triangle Similarity

Front

What is Triangle Similarity?

Back

Triangle similarity refers to the concept that two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Tags

CCSS.HSG.SRT.A.2

Front

What does AA Similarity stand for?

Back

AA Similarity stands for 'Angle-Angle Similarity', which states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the criteria for triangle similarity?

Back

The criteria for triangle similarity include: 1) AA (Angle-Angle) 2) SSS (Side-Side-Side) 3) SAS (Side-Angle-Side).

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have one angle equal and the sides including that angle are in proportion, what can be concluded?

Back

The triangles are similar by the SAS (Side-Angle-Side) criterion.

Tags

CCSS.HSG.SRT.B.5

Front

In similar triangles, what is true about the ratios of their corresponding sides?

Back

The ratios of the lengths of corresponding sides of similar triangles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

If Triangle A is similar to Triangle B, what can be said about their areas?

Back

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

Front

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

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.A.2

Front

What is a similarity statement?

Back

A similarity statement expresses that two triangles are similar, typically written in the form ΔABC ~ ΔDEF, indicating that triangle ABC is similar to triangle DEF.

Tags

CCSS.HSG.SRT.A.2

Front

What does it mean if two triangles are not similar?

Back

If two triangles are not similar, it means that their corresponding angles are not equal or their corresponding sides are not in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6