What kind of scale factor must you multiply by to
a) get larger?
b) get smaller?
c) stay the same size?
a) a number larger than 1
b) a number smaller than 1
c) 1
True or False:
To find the area of a scaled copy, you multiply the area of the original by the scale factor
False!
Multiply the area of the original by the scale factor squared
A map of a park has a scale of 1 inch to 1,000 feet. Another map of the same park has a scale of 1 inch to 500 feet. Which map is larger? Explain or show your reasoning?
1 inch to 500 feet
A park measures 90m wide by 150m long. With a scale of 1cm to 30m, what are the dimensions of the scale drawing?
3cm by 5cm
Pentagon H is a scaled copy of pentagon G.
What scale factor takes pentagon G to pentagon H?
Scale factor: 0.8
What would the perimeter of a scaled copy of this drawing be with a scale factor of 3.
Perimeter: 48 meters
The scale of a map says that 2 centimeters represents 5 kilometers. What is the actual number of kilometers represented by 12 centimeters on the map?
30 kilometers
A scale drawing of a park has a scale of 1cm to 90m. The drawing is 10cm by 4cm. What are the actual dimensions of the park?
900m by 360m
Trapezoid F is a scaled copy of trapezoid E.
What scale factor takes trapezoid E to trapezoid F?
Scale Factor: 1.2
If a scale copy of the following rectangle has a scale factor of 5, what with the area of the scale copy be?
2000in2
The scale of a map says 3cm represents 8 km. What distance on the map (in centimeters) represents and actual distance of 18 km?
6.75 cm
Sharon wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with a length of 10 m and a width of 12 m. She decides on a scale of 1 to 16.
What are the dimensions of a scale drawing of Sharon's bedroom using a scale of 1 to 15?
0.625 m by 0.75m
Which line segment corresponds with segment AE?
FJ
If a scale copy of the following quadrilateral has a scale factor of 3.5, what will the new perimeter be?
87.5 units
A scale drawing of a rectangular playground is 4 inches wide and 8.5 inches long. The actual park is 168 yards wide. What is the perimeter of the actual park in yards?
1050 yards
Sharon's bedroom door is 0.6 m wide. How wide should the door be on a scale drawing with a scale factor of 1 to 16?
0.04 m wide
Which angle corresponds with angle DCB
angle HGF
If a scaled copy of the following triangle has a scale factor of 2.5, what will the area of the scaled copy be?
62.5 units2
There are two different maps of Texas.
- The scale on the first map is 1 cm to 20 km. The distance from Houston to Dallas is 25 cm.
- The scale on the second map is 1cm to 100 km.
What is the distance from Houston to Dallas on the second map?
Actual distance: 500 km
Distance on the second map: 5 cm
210cm by 330cm