Scales and Scale Factor

The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?

• 12 feet

• 16 feet 

• 10 feet

• 4 feet

A rectangle has the dimensions 2.2cm by 4.5cm. A scale factor of 4 is used to enlarge the rectangle. What is the new area?

• 39.6 cm²

• 8.8 cm²

• 9.9 cm²

• 158.4 cm²

what is the length of x?

• 9mm

• 4mm

• 4/9mm

• 36mm

In the figure above, a dilation from A to A' has occurred. What is the scale factor?

scale factor = _______

Mathematical Equivalence

ON

A rectangular park on a city map has dimensions of 1.75in x 2.1in. The park in real life is 1,500 times larger than the drawing. What is the perimeter of the actual park?

• 5,512.5 in

• 3,675 in

• 5,250 in

• 11,550 in

If the area of a square was 16 in² and now it is 256 in², what is the scale factor that was used?

• 4

• 2

• 3

• 12

Which triangle is similar to the above triangle ?

• A

• B

• C

• D

What does similar mean?

• When two figures have the same Rate of change

• Same size

  different shape

• Same shape

  different size angles

• When two shapes have the same Scale FactorΔ and angles remain the same measure

Howard has a scale model of the Statue of Liberty. The model is 15 inches tall. The scale of the model to the actual statue is 1 inch : 6.2 meters. Which equation can Howard use to determine x, the height in meters, of the Statue of Liberty?

The perimeter of a rectangle was 121m, and was reduced to 11m. What was the scale factor used to reduce the shape?

• 11

• 12