Triangle Similarity

Front

What is Triangle Similarity?

Back

Triangle similarity refers to the relationship between two triangles that have the same shape but may differ in size. This means their corresponding angles are equal and their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What does AA Similarity stand for?

Back

AA Similarity stands for Angle-Angle Similarity. It 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 does SSS Similarity stand for?

Back

SSS Similarity stands for Side-Side-Side Similarity. It states that if the three sides of one triangle are proportional to the three sides of another triangle, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS Similarity stand for?

Back

SAS Similarity stands for Side-Angle-Side Similarity. It states that if two sides of one triangle are proportional to two sides of another triangle and the included angle is equal, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

To determine if two triangles are similar using AA, check if two angles of one triangle are equal to two angles of another triangle. If they are, the triangles are similar.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle ABC is similar to triangle XYZ, what can be said about their corresponding angles?

Back

If triangle ABC is similar to triangle XYZ, then angle A = angle X, angle B = angle Y, and angle C = angle Z.

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

Yes, triangle ABC and triangle DEF are similar by SSS Similarity because the sides are in proportion (3:6, 4:8, 5:10).

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between corresponding sides of similar triangles?

Back

The corresponding sides of similar triangles are in proportion, meaning the ratio of the lengths of corresponding sides is constant.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle ABC is similar to triangle DEF and the length of side AB is 5 cm and side DE is 10 cm, what is the ratio of similarity?

Back

The ratio of similarity is 1:2, since 5 cm to 10 cm simplifies to 1:2.

Tags

CCSS.HSG.SRT.A.2

Front

What is the height of a tree if it casts a shadow of 10 m and a similar triangle casts a shadow of 5 m with a height of 2 m?

Back

The height of the tree is 4 m, using the proportion of similar triangles (height of tree / 10 m = 2 m / 5 m).

Tags

CCSS.HSG.SRT.B.5