Finding the Factor
Area After All
Copy or Nah?
Crazy for Corresponding
Scale it like... 6-7
100
Polygon JKLM is a scale copy of EFGH. What is the scale factor?
Scale Factor = 2
5 x 2 = 10
7 x 2 = 14
100
A square has an area of 16cm2. What is the area of its Scaled copy if the scale factor is 2?
Original Area x (scale factor)2 = new area
16 x (2)2 = 64cm2
100
Which figures are scaled copies of the original?
Figure 2 and 4
100
List a pair of corresponding angles:
<A = <D, <B = <E, <C = <F
100
If a side of a square is 6 units, and the scale is 1 unit = 2 cm, then the actual length of the side of the square is what?
12 cm
200
Triangle DEF is a scale copy of ABC. What is the Scale factor?
Scale Factor = 1.5
6 x 1.5 = 9
4 x 1.5 = 6
5 x 1.5 = 7.5
200
A rectangle has an area of 30 m2. What is the area of its Scaled copy if the scale factor is 1/3?
Original Area x Scale Factor2 = new area
30 x (1/3)2 = 30/9 or 3 1/3
200
- Priya says B, C, and D are scaled copies of A.
- Tyler says B and D are scaled copies of A.
Do you agree with either of them?
No! Side lengths don't go up or down by the same amount
200
List two pairs of corresponding points and two pairs of corresponding sides in the following picture:
AB = DE, BC = EF, AC = DF, Point A = Point D, Point B = Point E, Point C = Point F
200
An engineering student draws a bridge design where 1 cm represents 5 meters. If a support beam is 9 cm long on the drawing, what is its actual length?
45 meters
300
Rectangle A measures 6 inches by 4 inches. Rectangle B is a scaled copy of Rectangle A. Select all of the measurement pairs that could be the dimensions of Rectangle B.
18 inches by 12 inches
1 inch by 2/3 inches
9 inches by 3 inches
3 inches by 8 inches
7.5 inches by 5 inches
1, 2, and 5
1) SF = 3
2) SF = 1/6
3) SF = 1.25 or 1 1/4
300
A square has side lengths of 5in. If you make a scale copy with a scale factor of 3, what is the area of the scale copy?
Original Area x Scale Factor2 = new area
5 x 5 = 25 (original Area)
25 x 9 = 225 in2
300
Tyler says that Figure B is a scaled copy of Figure A. Do you agree with Tyler? Explain
No, it's not half as wide
300
What is the measure of angle R and angle Y?
<R: 50 degrees, <Y: 70 degrees
300
The scale of a map says that 2 inches represents 3 feet. What distance on the map represents an actual distance of 9 feet?
6 inches
400
What is the scale factor from Figure 1 to figure 2?
Scale Factor = 3
A to C = 2 units, Corresponding distance is 6 units
Height is 3 units, Height is 9 units
400
A scale drawing of a rectangular park is 8 inches long and 4 inches wide. The actual park is 160 feet long. What is the area of the actual park, in square feet?
12,800 ft2
160 / 8 = 20
4 x 20 = 80 feet wide
80 x 160 = 12,800
400
When we look for scaled copies, what are the two things we need to look at to confirm they are scaled?
Side lengths/distances between points AND angles.
400
True or False: segment DE is half the size of segment AC.
False-- they aren't corresponding sides
400
True or false: the scale of 1in:15ft is the same as the scale 1:180. Explain why.
True! When you convert 15 feet to inches, you get 180 inches, so the scales are the same.
500
If the scale factor from ABCD to QRTS is 3, what is the scale factor from QRTS to ABCD.
*Double Points if you include the vocabulary word related to this answer*
Scale Factor = 1/3
*BONUS* = Reciprocal
500
A scale drawing of a house is 12 inches tall and 10 inches wide. The house is 24 feet tall. What is the area of the actual house, in square feet?
24 x 20 = 480 ft2
500
List the scaled copies of the original triangle T:
B, D, and F
500
Find the value of x:
x=14
500
Elena's bedroom is a rectangle with length 5 meters and width 3 meters. What would Elena’s bedroom dimensions be on the drawing, using a scale of 1 to 50? (Hint: convert meters into centimeters first)
10 cm by 6 cm