Scaled copies
What is a scaled copy
A scaled copy is a shape that has the same proportions as the original but may be a different size. All corresponding lengths are multiplied by the same scale factor
How do you calculate a scale factor?
A scaled copy is a shape that has the same proportions as the original but may be a different size. All corresponding lengths are multiplied by the same scale factor.
What does a scale of 1 cm to 50 km mean?
1 cm on the map represents 50 kilometers in real life.
What is the difference between two scales?
1 cm to 10 m
1 cm to 50 m
The difference between two scales indicates how much distance one unit on the map represents in reality.
Identify a scaled copy of a rectangle with dimensions 8 cm by 3 cm that has a scale factor of 1.5.
12 cm by 4.5 cm
If a triangle's side length increases from 6 units to 9 units, what is the scale factor?
Scale Factor is 1.5
If two cities are 100 km apart, how many cm apart are they on a map with a scale of 1 cm to 50 km?
2 cm
If Map A uses a scale of 1 cm to 100 m and Map B uses 1 cm to 50 m, which is larger?
Map B is larger, as it uses a smaller ratio (1 cm to 50 m)
Which of the following is a scaled copy of a triangle with sides 3, 4, 5?
5, 6, 7 or 4.5, 6, 8
4.5, 6, 8
A rectangle's perimeter doubles.
What happens to its area?
If a rectangle's perimeter doubles, its area will be quadrupled
(scaled by the square of the scale factor).
If two landmarks are 5 cm apart on a map, what is their actual distance?
(Scale 1 cm to 50 km)
250 km
(5 cm × 50 km/cm = 250 km)
Explain why a scale of
1 cm to 500 m is smaller than 1 cm to 100 m.
Each cm represents a larger real-world distance
What scale factor would create a rectangle with dimensions 20 cm by 7.5 cm from a rectangle measuring 8 cm by 3 cm?
Scale Factor of 2.5
If the scale factor is 4 from shape A to shape B,
what is it from B to A?
The scale factor from B to A would be
1/4 or 0.25.
What is the distance on a map if the actual distance is 500 km with a scale of 1 cm to 50 km?
10 cm on the map
(500 km ÷ 50 km/cm = 10 cm)
Which map would show more detail, one with a scale of 1 cm to 250 m or one with 1 cm to 1000 m?
The map with a scale of 1 cm to 250 m would show more detail because each cm represents a smaller actual distance.
Give an example of a scaled copy using a scale factor less than 1 and what does it do to a figure.
Any fraction between
0 and 1
and the shape gets smaller
From a triangle ABC to triangle DEF, if side AB = 5 units and DE = 10 units, what is the scale factor?
The scale factor from triangle ABC to triangle DEF is 2, as DE is double the length of AB.
How can you convert a scale from cm to m?
To convert a scale from cm to m, divide the centimeter measurement by 100
1 m = 100 cm
If two maps represent the same area but one has a scale of 1 cm to 200 m and another 1 cm to 400 m, compare their sizes.
Map A (1 cm to 200 m) would be larger because it represents a smaller actual distance compared to Map B (1 cm to 400 m).