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 proportional.

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

If ΔABC ~ ΔXYZ, what can we say about their corresponding angles?

Back

The corresponding angles of ΔABC and ΔXYZ are equal.

Tags

CCSS.HSG.SRT.A.2

Front

If two triangles are similar, what can we say about their corresponding sides?

Back

The corresponding sides of similar triangles are proportional.

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

To determine if two triangles are similar using the AA criterion, check if two angles of one triangle are equal to two angles of the other triangle.

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 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, triangle A and triangle B 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 significance of the corresponding sides in similar triangles?

Back

The significance of corresponding sides in similar triangles is that they maintain the same ratio, which is crucial for establishing similarity.

Tags

CCSS.HSG.SRT.A.2