Similar Triangles

Front

What are similar triangles?

Back

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

Tags

CCSS.HSG.CO.B.6

CCSS.8.G.A.2

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.A.2

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 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 proportional to two sides of another triangle and the included angles are equal, the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles are similar, what can be said about their angles?

Back

The angles of similar triangles are congruent.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle ABC is similar to triangle DEF, what can be said about the ratios of their corresponding sides?

Back

The ratios of the lengths of corresponding sides are equal.

Tags

CCSS.HSG.SRT.A.2

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 the Side Splitter Theorem?

Back

The Side Splitter Theorem states that a line parallel to one side of a triangle divides the other two sides proportionally.

Tags

CCSS.HSG.SRT.B.4

Front

If triangle XYZ is similar to triangle PQR, and XY = 4, XZ = 6, and PQ = 8, what is the length of PR?

Back

PR = 12 (using the proportionality of sides in similar triangles).

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the perimeters of similar triangles?

Back

The ratios of the perimeters of similar triangles are equal to the ratios of their corresponding sides.