Triangle Similarity

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 proportional 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 three sides of one triangle are proportional to the three sides of another triangle, the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the criteria for triangle similarity?

Back

The criteria for triangle similarity are AA, SAS, and SSS.

Tags

CCSS.HSG.SRT.B.5

Front

How can you prove two triangles are similar using AA?

Back

To prove two triangles are similar using AA, you need to show that two angles of one triangle are equal to two angles of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What additional information is required to prove two triangles are congruent by SAS?

Back

To prove two triangles are congruent by SAS, you need to know the lengths of the two sides and the measure of the included angle.

Tags

CCSS.HSG.SRT.B.5

Front

If triangle A is similar to triangle B, what can be said about their corresponding sides?

Back

The corresponding sides of similar triangles are in proportion.

Tags

CCSS.HSG.SRT.A.2

Front

How do you find the missing side of a triangle using proportions?

Back

To find the missing side using proportions, set up a ratio comparing the sides of the similar triangles and solve for the unknown.

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between similar triangles and their angles?

Back

In similar triangles, corresponding angles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle A has sides of length 3, 4, and 5, and triangle B has sides of length 6, 8, and 10, are they similar?

Back

Yes, triangle A and triangle B are similar because their sides are in proportion (3:6, 4:8, 5:10).

Tags

CCSS.HSG.SRT.A.2