Similarity

Front

What is similarity in geometry?

Back

Similarity in geometry refers to figures that have the same shape but may differ in size. Corresponding angles are equal, and corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What does it mean for two triangles to be similar?

Back

Two triangles 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

How do you determine the scale factor between two similar figures?

Back

The scale factor is determined by dividing the length of a side of one figure by the length of the corresponding side of the other figure.

Tags

CCSS.7.G.A.1

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 6 cm and side DE is 12 cm, what is the scale factor?

Back

The scale factor is 2:1.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the relationship between the angles of similar polygons?

Back

In similar polygons, corresponding angles are congruent.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the relationship between the sides of similar polygons?

Back

In similar polygons, the lengths of corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If two figures are similar, how can you find the length of an unknown side?

Back

You can set up a proportion using the lengths of the corresponding sides of the similar figures.

Tags

CCSS.HSG.SRT.A.2

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object that is proportional to the actual size of the object, using a specific scale.

Tags

CCSS.7.G.A.1

Front

If a scale drawing has a scale of 1 inch to 5 feet, how many feet does 3 inches represent?

Back

3 inches represents 15 feet.

Tags

CCSS.7.G.A.1

Front

What is the formula for finding the area of similar figures?

Back

The area of similar figures is proportional to the square of the scale factor.