Scaled Factor
Area
True or False
Scales
100
If you were asked to draw a scaled copy with a scale factor of 4, the copy would be:
- Bigger
- Smaller
- Same size
Bigger
Numbers greater than 1 make the shape bigger
100
A rectangle has measurements 2 inches wide and 5 inches long. A scaled copy is created using a scale factor of 3. What is the area of the scaled copy?
What is 90 square inches!
100
Figure B is a scaled copy of Figure A.
True or False: Figure B has the same number of angles as Figure A. Explain
True. Scaled copies have corresponding parts
100
Mark made a box that was 8 inches long and 3 inches high.
His little brother, Dave, made a box that was 6 inches long and 2 inches high.
Dave said he made a scaled copy. Is he right?
No!
They do not have a single scale factor.
200
Figure L is a scaled copy of Figure S.
What is the scale factor?
Scale Factor =2
200
A square has side lengths of 5 inches long. A scaled copy is created using a scale factor of 2.
What is the area of the scaled copy?
What is 100 square inches?
200
If the scale factor is between 0 and 1, then the scaled copy will be smaller in comparison to the original figure.
True!
Scale factors that are less than one make it smaller
200
The scale on a map is 0.5 in to 3 miles.
If the distance on the map is 3 inches, how far is that in real life?
18 miles
The scale factor is 1 in to 6 miles, so 3 x 6 = 18
300
A triangle has a side length of 36 cm.
If the scale factor is 3, what is the corresponding side length on the scaled copy?
108 cm.
300
A rectangle has measurements 3 inches wide and 4 inches long. A scaled copy is created using a scale factor of 4.
What is the area of the scaled copy?
What is 192 square inches?
300
Figure B is a scaled copy of Figure A.
True or False: Figure B has the same number of edges as Figure A.
True.
They are corresponding parts and are the same shape.
300
The scale on a map is 0.5 in to 3 miles.
If the distance to the beach is 12 miles in real life, how far is that on the map?
2 inches
The scale factor is 6, so 12 divided by 6 = 2.
OR multiply 3 miles by 4 to get 12 miles, then multiply 0.5 inches by 4 to get 2 inches.
400
What is the scale factor?
Scale factor = 2
6 divided by 3 = 2
400
A triangle has a base measurement of 2 inches and a height of 4 inches long. A scaled copy is created using a scale factor of 5. What is the area of the scaled copy?
What is 100 square inches?
400
Figure B is a scaled copy of Figure A.
True or False: Figure B has angles with different measures as Figure A.
False.
Scaled copies have the same angle measurements
400
The scale from a postcard to painting is 2 cm to 5 inches.
If the height of the painting is 40 inches, what is the height of the postcard?
16 cm.
The scale factor is 2.5, so you can divide 40 inches by 2.5 to get back to the drawing OR
Multiply 5 inches by 8 to get 40 inches and then multiply 2 cm by 8.
500
What is the length of "Side X" if figure B is a scaled copy of figure A?
3
Scale Factor= 2
500
A triangle has a base measurement of 6 inches wide and 5 inches tall. A scaled copy is created using a scale factor of 2. What is the area of the scaled copy?
What is 60 square inches?
500
Figure B is a scaled copy of Figure A.
True or False: Figure B always has the same perimeter as Figure A.
False.
Unless the scale factor is 1, they will have different perimeters.
500
The scale from a postcard to painting is 2 cm to 5 inches.
If the base of the postcard is 15 cm, what is the base of the real painting?
37.5 inches.
The scale factor is 2.5. Then multiply 15 by the scale factor OR
Multiply 2 cm by 7.5 to get 15 cm, then multiply 5 inches by 7.5 to get 37.5 inches.