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 it mean for two triangles to be similar?

Back

Two triangles are similar if they have the same shape but not necessarily the same size, which means their corresponding angles are equal and their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the SSS similarity criterion?

Back

The SSS (Side-Side-Side) similarity criterion states that if the lengths of the corresponding sides of two triangles are in proportion, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SAS similarity criterion?

Back

The SAS (Side-Angle-Side) similarity criterion states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the AA similarity criterion?

Back

The AA (Angle-Angle) similarity criterion 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

If triangle ABC is similar to triangle DEF, what can we say about their angles?

Back

The corresponding angles of triangle ABC and triangle DEF are equal.

Tags

CCSS.HSG.SRT.A.2

Front

If the sides of triangle ABC are 3, 4, and 5, and triangle DEF is similar to triangle ABC with a scale factor of 2, what are the lengths of the sides of triangle DEF?

Back

The lengths of the sides of triangle DEF are 6, 8, and 10.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the relationship between corresponding sides of similar triangles?

Back

The corresponding sides of similar triangles are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If triangle XYZ is similar to triangle NEW and the length of side XY is 7, what is the length of side NE if the scale factor is 3?

Back

The length of side NE is 21.

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

To determine if two triangles are similar using the AA criterion, check if two angles of one triangle are equal to two angles of the other triangle.

Tags

CCSS.HSG.SRT.A.2