Scaled Copies and Scale Factor

Front

What is a Scale Factor?

Back

The number you multiply by the sides of a figure to create a scaled copy.

Front

Is Figure B a scaled copy of Figure A if all peaks are half as tall?

Back

No, because the scale factor must be consistent for all corresponding sides.

Front

What are corresponding sides in similar figures?

Back

Corresponding sides are the sides of two figures that are in the same position relative to each other.

Front

What is the scale factor from ΔABC to ΔDEF if the sides of ΔDEF are twice as long?

Back

2

Front

If a drawing of a car is 3 cm long and the scale factor is 1 cm = 4 ft, how long is the real car?

Back

12 feet

Front

How do you find the scale factor between two similar figures?

Back

Divide the length of a side of the scaled figure by the length of the corresponding side of the original figure.

Front

If the scale factor is 1/3, how does the size of the scaled copy compare to the original?

Back

The scaled copy is one-third the size of the original.

Front

What happens to the area of a figure when the scale factor is doubled?

Back

The area increases by a factor of four (2^2) because area is proportional to the square of the scale factor.

Front

If a triangle has sides of 3 cm, 4 cm, and 5 cm, what are the sides of a triangle that is a scaled copy with a scale factor of 2?

Back

6 cm, 8 cm, and 10 cm.

Front

What is the relationship between the scale factor and the dimensions of a figure?

Back

The scale factor determines how much larger or smaller the dimensions of the scaled copy are compared to the original.