Triangle Similarity

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 mean?

Back

AA Similarity (Angle-Angle Similarity) 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.A.2

Front

What is SSS Similarity?

Back

SSS Similarity (Side-Side-Side Similarity) 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

Explain SAS Similarity.

Back

SAS Similarity (Side-Angle-Side Similarity) 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?

Back

You can determine if two triangles are similar by using one of the similarity criteria: AA, SSS, or SAS.

Tags

CCSS.HSG.SRT.A.2

Front

What is the corresponding side of a triangle?

Back

A corresponding side of a triangle is a side that is in the same position relative to the angles of another triangle.

Tags

CCSS.8.G.A.2

Front

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

Back

If triangle ABC is similar to triangle DEF, then angle A = angle D, angle B = angle E, and angle C = angle F.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the sides of similar triangles?

Back

The sides of similar triangles are in proportion, meaning the ratios of the lengths of corresponding sides are equal.

Tags

CCSS.HSG.SRT.A.2

Front

How do you find the height of a triangle using similarity?

Back

You can find the height of a triangle using similarity by setting up a proportion based on the corresponding sides and heights of similar triangles.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of the AA criterion in triangle similarity?

Back

The AA criterion is significant because it is the simplest way to prove triangle similarity, requiring only two angles to be equal.

Tags

CCSS.HSG.SRT.B.5