Identify the scale factor
Find the scaled area
Use the scale
Draw the scaled image
Identify Corresponding parts
100
What is the scale factor going from the first figure to the second?
3
100
If you scaled this rectangle by a scale factor of 1/2, what would be the AREA of the scaled rectangle?
21 feet2
100
A local park is in the shape of a square. A map of the local park is made with the scale 1 inch to 200 feet.
If a straight path in the park is 900 feet long, how long would the path be when represented on the map
4.5 inches
100
Draw a scaled copy of the image below with a scale factor of 2
8 cm by 18 cm
100
What segment corresponds to XJ?
Segment ZS
200
Identify whether each A is a scaled copy and if it is, what the scale factor is?
1- No the height changes but the base doesn't
2- Yes, SF:2
3- No, doesn't even look like the original
4- Yes, SF: 1/2
200
How do you find the area of a scaled copy?
original area x (scaled factor)2
OR
Use the scale factor on each of the original side lengths to find the new side lengths, then multiply them together to find the new area
200
A pool has been drawn using a scale of 1 cm to 2.5 yards. If a pool is actually 25 yards long and 5 yards wide what would be the scaled dimensions?
10 cm long by 2 cm wide
200
For each of the scaled factors below will the scaled copy be larger, smaller or the same?
a: 3/2
b: 5
c: 1/3
d: 1
e: 0.25
f: 2/3
g: 1.25
a: larger
b: larger
c: smaller
d: same
e: smaller
f: smaller
g: larger
200
Identify two sets of corresponding angles
XNY & ZHC
NYJ & HCS
**Other possible angles as well**
300
What is the scale factor from S to L?
What is the scale factor from L to S?
S to L : 2
L to S : 1/2
300
You are given a rectangle that has a length of 5 and a height of 3. We want to create a scaled copy that is 3 times as big. What is the area of the scaled copy?
135 square units
300
A blueprint for a building includes a rectangular room that measures 3 inches long and 5.5 inches wide. The scale for the blueprint says that 1 inch on the blueprint is equivalent to 10 feet in the actual building. What are the dimensions of this rectangular room in the actual building?
30 feet long and 55 feet wide
300
A triangle has a height of 3.5 cm and a base of 5 cm draw a scaled copy with a scale factor of 3
15 cm by 10.5 cm
300
Name all the corresponding segments in the picture
AB to DE
AC to DF
BC to EF
400
Figures R, S, and T are all scaled copies of one another. Figure S is a scaled copy of R using a scale factor of 2/3. Figure T is a scaled copy of S using a scale factor of 1/2. Find the scale factors for each of the following:
- From T to S
- From S to R
1. 2
2. 3/2
400
Two triangles are scaled copies of each other. The original triangle has an area of 10 in2, and the scaled copy has an area of 160 in2. What is the scale factor going from the original triangle to the scaled copy?
4
400
A model airplane is built at a scale of 1 to 60. If the model plane is 5 inches long, how many in long is the actual airplane?
300 in
400
A rectangular swimming pool measures 50 meters in length and 25 meters in width.
Make a scale drawing of the swimming pool where 1 centimeter represents 5 meters
10 cm by 5 cm
400
Label the two missing corresponding sides in figure B and then label the two missing corresponding angles in figure A
B: 3 and 5
A 53 degrees and 82 degrees
500
An image of a poster shown on a website is 5 inches wide and 8 inches tall on a computer monitor. The actual poster is 20 inches wide.
- What scale is being used for the image?
- How tall is the actual book?
1. 1 in to 4 in
2. The poster is 32 in tall
500
On a map with a scale of 1 inch to 8 feet, the area of a restaurant is 40 in2. Han says that the actual area of the restaurant is 320 ft2. Do you agree or disagree? If you disagree what is the actual area of the restaurant?
Disagree
2560 ft2
500
Ms. Ruiz wants to draw a classroom floor plan using a scale of 1:30.
1. Ms. Ruiz drawing is 5 in long by 3.5 in wide. What are the actual dimensions of the room?
2. A table in the classroom is actually 5 ft long. How long would it be in the scaled picture?
1. 150 in by 105 in
2. 0.166 ft
500
Yarelly has two different maps of Bolingbrook.
The scale on the first map is 1 inch to 4 miles.
The distance from Jane Addams to BHS is 3 inches.
The scale on the second map is 1 inch to 2 miles.
What is the distance from Jane Addams to BHS on the second map? Explain your reasoning.
6 inches
500
Figure 2 is a scaled copy of figure 1
What can you say will be true about the corresponding angles in the scaled copy?
They will have the same angle measurements as the original shape