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 determine the width of a poster when enlarging a photo while keeping the dimensions proportional?

Back

To determine the width of a poster while keeping the dimensions proportional, you can use the ratio of the original dimensions to the new dimensions.

Front

If a polygon is a scaled copy of another polygon, what does that imply about their corresponding sides?

Back

It implies that the corresponding sides of the polygons are in proportion to each other, based on the scale factor.

Front

What is the relationship between area and scale factor when dealing with scale drawings?

Back

The area of a shape in a scale drawing is proportional to the square of the scale factor used to create the drawing.

Front

How do you calculate the scale of a drawing if you know the area of the drawing and the actual area?

Back

To calculate the scale of a drawing, divide the actual area by the area of the drawing, and then take the square root of that ratio.

Front

What does it mean for two triangles to be scaled copies of one another?

Back

It means that the triangles have the same shape but different sizes, with corresponding angles being equal and corresponding sides being in proportion.

Front

If the scale factor from triangle L to triangle S is 4/8, what is the simplified scale factor?

Back

The simplified scale factor is 1/2.

Front

In a scaled copy of a quadrilateral, how do you find the distance between two corresponding points?

Back

The distance between two corresponding points in a scaled copy is the same as the distance between the original points multiplied by the scale factor.

Front

What is the significance of keeping dimensions proportional when enlarging or reducing shapes?

Back

Keeping dimensions proportional ensures that the shape maintains its original proportions and does not become distorted.

Front

How can you express the scale factor as a fraction?

Back

The scale factor can be expressed as a fraction by comparing the lengths of corresponding sides of the original and scaled shapes.