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. It can be expressed as a/b = c/d, where a, b, c, and d are numbers.

Front

How do you find the missing length in similar triangles?

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

What is the scale factor in similar figures?

Back

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

Tags

CCSS.7.G.A.1

Front

How do you use proportions to solve for x?

Back

To solve for x using proportions, set up a proportion with known values and the unknown variable, then cross-multiply and solve for x.

Tags

CCSS.7.G.A.1

Front

What is the relationship between the sides of similar triangles?

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

How can 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 in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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 reference)/(distance from reference).

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

If triangle ABC is similar to triangle DEF, the ratio of their perimeters is equal to the ratio of their corresponding sides.