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 SSS similarity criterion state?

Back

The SSS (Side-Side-Side) similarity criterion 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 criterion state?

Back

The SAS (Side-Angle-Side) similarity criterion 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

What does AA similarity criterion state?

Back

The AA (Angle-Angle) similarity criterion 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

How do you find the scale factor between similar triangles?

Back

The scale factor can be found by dividing the lengths of corresponding sides of the two triangles. For example, if the length of a side in the smaller triangle is 3 and the corresponding side in the larger triangle is 6, the scale factor is 6/3 = 2.

Tags

CCSS.7.G.A.1

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter (P) of a rectangle is calculated using the formula: P = 2L + 2W, where L is the length and W is the width.

Tags

CCSS.4.MD.A.3

Front

If two rectangles are similar, how do their perimeters relate?

Back

If two rectangles are similar, the ratio of their perimeters is equal to the ratio of their corresponding side lengths (scale factor).

Front

What is the relationship between the areas of similar triangles?

Back

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

Front

How do you solve for a variable in similar triangles?

Back

To solve for a variable in similar triangles, set up a proportion using the lengths of corresponding sides and solve for the unknown variable.

Tags

CCSS.HSG.SRT.A.2

Front

What is the significance of corresponding angles in similar triangles?

Back

In similar triangles, corresponding angles are equal, which is a key property that helps establish similarity.

Tags

CCSS.HSG.SRT.A.2