Scale Factor and Dilation on Area and Perimeter

If the scale factor is 4, what is the measurement of x?

• 20 m
• 24 m
• 16 m
• 4 m

Square A is a Dilation of Square B. What is the scale factor of the squares?

• 1/7
• 4/5
• 5/4
• 7

If a shape is dilated by a scale factor of one-half, what is the resulting perimeter? 

• The same as the perimeter of the preimage
• The new perimeter is bigger than the preimage
• The new perimeter is smaller than the preimage
• The new perimeter is 4 times the original

If a rectangle has an area of 48 cm², what would be the area of   a similar rectangle if the dimensions are doubled?

• 96 cm²
• 192 cm²
• 216 cm²
• 2304 cm²

• The perimeter of the new rectangle will be the same as the perimeter of the original rectangle.
• The perimeter of the new rectangle will be 2.5 times as large as the perimeter of the original rectangle.
• The perimeter of the new rectangle will be 5 times as large as the perimeter of the original rectangle.

If a shape is dilated by a scale factor of one-half, what is the resulting perimeter? 

• The new perimeter is one-half the original
• The new perimeter is 2 times the original
• The new perimeter is one-fourth the original 
• The new perimeter is 4 times the original

If a rectangle is drawn and another rectangle is drawn so that the sides are twice as big as the first rectangle, what happens to the area?

• doubles
• triples
• quadruples
• not enough information

Triangle ABC is dilated using a scale factor of 1/2. What are the new coordinates of point A'?

• (-3, 3)
• (-12, 12)
• (-2, 2)

If triangle ABC is dilated by a scale factor of 2.5 with a center of dilation at vertex B, how does the area of A'B'C' compare with the area of ABC?

• The area of A'B'C' is 5 times the area of ABC.

• The area of A'B'C' is 10 times the area of ABC.

• The area of A'B'C' is 2.5 times the area of ABC.

• The area of A'B'C' is 6.25 times the area of ABC.

A dilation with a scale factor of 3 takes triangle PQR to triangle XYZ. What is the ratio of the perimeter of triangle PQR to the perimeter of triangle XYZ?

• 1:3

• 1:1

• 3:1

• 3:3