Vocabulary
Two sides that are in the same place on both an original figure and a scale drawing are called ______________ sides.
"corresponding"
1 : 4 and ____ : 12
3
Rectangle A: 14 in. by 20 in.
Rectangle B: 7 in. by 10 in.
yes - 14/20 = 7/10
The scale factor is 2. The sides of the scale copy are all 2 times longer than the original, and the area is _____ times bigger.
4 - quadruple the area when the sides are twice as long
Original Figure: 7 inches by 14 inches
Scaled Copy: 7 inches by 14 inches
The number you multiply side lengths by to make a similar figure.
"scale factor"
5 : 10 and 15 : ____
30
Rectangle A: 3 in. by 7 in.
Rectangle B: 9 in. by 28 in.
no - 3/7 does not equal 9/28
True or False: If the scale factor is 3, then the area of the scaled copy will be 6 times bigger than the original
false - 3^2 is 9!
Original figure: 2 inches by 6 inches
Scaled figure: 18 inches by 54 inches
9
Two sides that meet at a vertex.
"adjacent sides"
3 : 7 and 30 : ____
70
Triangle A's angles: 60, 40, and 80
Triangle B's angles: 55, 30, and 95
no - all corresponding angles in scaled copies must be the same
The scale factor is 4. The sides of the scaled copy are all 4 times longer than the original. The area of the scaled copy is _____ times bigger than the original.
4^2 is 16!
Rectangle A: 5 inches by 25 inches
Rectangle B: 1 inch by 5 inches
1/5
If the scale factor is less than 1, (example: 0.25) then _________________.
"it will be smaller"
9 : 3 and 36 : ____
12
Rectangle A: 4 in. by 17 in.
Rectangle B: 6 in. by 25.5 in.
yes - 4/17 = 6/25.5
A rectangular park is 150 yards long and 240 yards wide. What is its area?
36,000 square yards
Rectangle A: 24 inches by 48 inches
Rectangle B: 72 inches by 144 inches
3
An equation where two ratios are equal are ___________.
"proportional"
___ : 8 and 25 : 20
10
A house is 30 feet tall and 24 feet long.Drawing #1 is 15 inches tall and 11 inches long. Drawing #2 is 5 inches tall and 4 inches long. Which one is the scale drawing?
Drawing #2 - 30/24 = 5/4
A square pool has a side of 45 feet. What is its area?
2025
Rectangle A: 9 inches by 24 inches
Rectangle B: 3 inches by 8 inches
1/3