Using Similarity

Front

What is similarity in geometry?

Back

Similarity in geometry refers to the relationship between two shapes that have the same shape but may differ in size. This means that 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 is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Tags

CCSS.7.RP.A.2A

Front

How do you solve for a missing side in similar triangles?

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

If two triangles are similar, what can be said about their corresponding angles?

Back

If two triangles are similar, their corresponding angles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

What is the formula for finding the height of an object using similar triangles?

Back

The height of an object can be found using the formula: (height of object)/(distance from object) = (height of shadow)/(distance of shadow).

Tags

CCSS.HSG.SRT.C.8

Front

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures. It indicates how much one figure has been enlarged or reduced compared to the other.

Tags

CCSS.7.G.A.1

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 8 cm, what is the scale factor?

Back

The scale factor is 2, since 8 cm (DE) divided by 4 cm (AB) equals 2.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the areas of two similar figures?

Back

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

Front

How can proportions be used in real-life situations?

Back

Proportions can be used in real-life situations such as scaling models, cooking recipes, and determining distances on maps.

Tags

CCSS.7.RP.A.3