Scale Factors Flashcard

Front

What is the scale factor?

Back

The scale factor is a number that scales, or multiplies, a quantity. It is used to determine how much larger or smaller a figure is compared to the original.

Front

If the scale factor is 4, what does that mean for the dimensions of a shape?

Back

If the scale factor is 4, it means that each dimension of the shape is multiplied by 4, making the shape 4 times larger than the original.

Front

What is the scale: 1 in. = 7 ft. used for?

Back

This scale is used to represent real-life measurements in a drawing or model, allowing for a proportional representation of larger objects.

Front

How do you calculate the width of a backyard in a drawing if the actual width is 49 ft and the scale is 1 in. = 7 ft?

Back

To find the width in the drawing, divide the actual width by the scale factor: 49 ft ÷ 7 ft/in = 7 in.

Front

What is the scale factor from triangle ABC to triangle DEF if the sides of triangle ABC are twice as long?

Back

The scale factor is 1/2, meaning triangle DEF is half the size of triangle ABC.

Front

What does a scale factor of .25 indicate?

Back

.25 indicates that the new figure is 1/4 the size of the original figure.

Front

If a shape's dimensions are multiplied by a scale factor of 3, what happens to its area?

Back

The area of the shape increases by a factor of 3^2, or 9 times larger than the original area.

Front

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

Back

To find the scale factor, divide the length of a side of the larger figure by the corresponding side of the smaller figure.

Front

What is the relationship between scale factor and perimeter?

Back

The perimeter of similar figures changes by the same scale factor as the lengths of their sides.

Front

If a model is built at a scale of 1:50, what does this mean?

Back

It means that 1 unit of measurement on the model represents 50 units in real life.