Illustrative Math Grade 7 Unit 1 Review

Front

What is a scale factor in geometry?

Back

A scale factor is a number that scales, or multiplies, some quantity. In geometry, it is the ratio of the lengths of two corresponding sides of similar figures.

Front

How do you find the area of a scaled figure?

Back

To find the area of a scaled figure, square the scale factor and multiply it by the area of the original figure.

Front

If Triangle L has a side length of 10 and Triangle S has a corresponding side length of 6, what is the scale factor from L to S?

Back

Front

What is the perimeter of a shape?

Back

The perimeter is the total distance around the outside of a shape, calculated by adding the lengths of all its sides.

Front

If a quadrilateral has side lengths of 6, 9, 9, and 12, what is its perimeter?

Back

Front

What happens to the perimeter of a shape when it is scaled by a factor of 2?

Back

The perimeter of the shape also scales by the same factor. If the original perimeter is P, the new perimeter will be 2P.

Front

How do you determine the scale of a drawing?

Back

To determine the scale of a drawing, compare the area of the drawing to the actual area. The scale can be found by taking the square root of the ratio of the areas.

Front

If the area of a scale drawing is 25 square inches and the actual area is 2,025 square feet, what is the scale?

Back

The scale is 81.

Front

What is a scaled copy in geometry?

Back

A scaled copy is a figure that is similar to another figure but is a different size, created by multiplying the dimensions of the original figure by a scale factor.

Front

If Quadrilateral Q is a scaled copy of Quadrilateral P with a scale factor of 3, and the perimeter of P is 62, what is the perimeter of Q?

Back