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 used to determine the size of a scaled copy of a shape compared to the original shape.

Front

If a shape is scaled by a factor of 3, how does its perimeter change?

Back

The perimeter of the shape will also be multiplied by the scale factor. If the original perimeter is P, the new perimeter will be 3P.

Front

What is the formula to calculate the perimeter of a quadrilateral?

Back

The perimeter of a quadrilateral is the sum of the lengths of all its sides: P = side1 + side2 + side3 + side4.

Front

How do you find the perimeter of a scaled copy of a quadrilateral?

Back

To find the perimeter of a scaled copy, multiply the original perimeter by the scale factor.

Front

What is the relationship between the lengths of corresponding sides in similar figures?

Back

The lengths of corresponding sides in similar figures are proportional to each other, based on the scale factor.

Front

If a model is built at a scale of 1 to 72, what does this mean?

Back

This means that 1 unit on the model represents 72 units in real life.

Front

How do you convert inches to feet?

Back

To convert inches to feet, divide the number of inches by 12, since there are 12 inches in a foot.

Front

What is the cost of 10 bottles of water if each bottle costs $1.25?

Back

The cost of 10 bottles is $1.25 x 10 = $12.50.

Front

If the shortest side of a quadrilateral is scaled down to 2, how do you find the new perimeter?

Back

First, find the scale factor by dividing the new shortest side by the original shortest side, then multiply the original perimeter by this scale factor.

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.