Scale Factor and Similar Figures Flashcard

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. It is used to determine how much larger or smaller a figure is compared to another figure.

Tags

CCSS.7.G.A.1

Front

If a drawing of a tree is 5 cm tall and the scale is 1:100, how do you find the actual height of the tree?

Back

Multiply the height in the drawing (5 cm) by the scale factor (100). Actual height = 5 cm * 100 = 500 cm.

Tags

CCSS.7.G.A.1

Front

What does a scale of 3 inches: 21 miles mean?

Back

It means that every 3 inches on the map represents 21 miles in real life.

Tags

CCSS.7.RP.A.2C

Front

How do you calculate the distance between two points on a map using the scale?

Back

Use the formula: Actual distance = (Distance on map) * (Scale factor). For example, if two houses are 5 inches apart on a map with a scale of 3 inches: 21 miles, the actual distance is 5 inches * (21 miles / 3 inches) = 35 miles.

Tags

CCSS.7.G.A.1

Front

What is the scale factor if a square is enlarged by a factor of 2?

Back

The scale factor is 2, meaning the new dimensions are twice the original dimensions.

Tags

CCSS.7.G.A.1

Front

How do you find the value of x in similar figures?

Back

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between similar figures?

Back

Similar figures have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the formula to find the actual height from a drawing using scale?

Back

Actual height = Height in drawing * Scale factor.

Tags

CCSS.7.G.A.1

Front

If a shape is reduced by a scale factor of 0.5, what happens to its dimensions?

Back

All dimensions of the shape are halved.

Tags

CCSS.8.G.A.3

Front

What does it mean if two figures are not similar?

Back

It means they do not have the same shape, and their corresponding angles and sides are not proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6