Proving Triangles Similar & Similar Triangles

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 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 is the criteria for triangles to be considered not similar?

Back

Triangles are considered not similar if none of the similarity criteria (AA~, SSS~, SAS~) are met.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have two pairs of equal angles, what can be concluded?

Back

The triangles are similar by the AA~ criterion.

Tags

CCSS.HSG.CO.B.6

CCSS.8.G.A.2

Front

If the sides of triangle A are 3, 4, and 5, and the sides of triangle B are 6, 8, and 10, are the triangles similar?

Back

Yes, the triangles are similar by SSS~ because the sides are in proportion (1:2).

Tags

CCSS.HSG.SRT.A.2

Front

How can you determine the height of a tree using similar triangles?

Back

You can use the ratio of the height of the tree to the length of its shadow and compare it to the ratio of a known height and shadow length.

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between similar triangles and their corresponding angles?

Back

In similar triangles, corresponding angles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between similar triangles and their corresponding sides?

Back

In similar triangles, the lengths of corresponding sides are in proportion.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle A has sides of lengths 5, 12, and 13, and triangle B has sides of lengths 10, 24, and 26, are the triangles similar?

Back

Yes, the triangles are similar by SSS~ because the sides are in proportion (1:2).

Tags

CCSS.HSG.SRT.A.2