Day 80 - Triangle Similarity Review

Front

What is Triangle Similarity?

Back

Triangle similarity refers to the property of two triangles having the same shape but not necessarily the same 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 corresponding sides of two triangles are in proportion, 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 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

How can you determine if two triangles are not similar?

Back

Two triangles are not similar if their corresponding angles are not equal or their corresponding sides are not in proportion.

Tags

CCSS.HSG.SRT.A.2

Front

If two triangles have one angle of 60 degrees and another angle of 30 degrees, what can be said about their similarity?

Back

The triangles are similar by AA Similarity because they have two equal angles.

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

The lengths of the corresponding sides of triangle ABC and triangle DEF are in proportion.

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

Yes, the triangles 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 the areas of two similar triangles?

Back

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

Front

If triangle MNO is similar to triangle PQR and the length of side MN is 5 and side PQ is 10, what is the ratio of their sides?

Back

The ratio of their sides is 1:2.

Tags

CCSS.HSG.SRT.A.2