Dilations Perimeter and Area

Find the ratio (blue to red) of the perimeter.

• 4/7

• 7/4

• 49/16

• 16/49

Find the perimeter of the large triangle.

• 24

• 36

• 12

• 54

Two objects that are the same shape but NOT the same size are _______.

• Congruent

• Vertical

• Similar

• Complementary

A square with a side length of 4 cm was dilated by a scale factor of 7/4 to form a square with a side length of 7 cm. How does the perimeter of the image of the square relate to the original?

• The perimeter of the image is 7/4 the perimeter of the original.

• The perimeter of the image is 4/7 the perimeter of the original.

• The perimeter of the image is 49/16 the perimeter of the original.

• The perimeter of the image is 16/49 the perimeter of the original.

A square with a side length of 4 cm was dilated by a scale factor of 7/4 to form a square with a side length of 7 cm. How does the area of the image of the square relate to the original?

• The area of the image is 7/4 the area of the original.

• The area of the image is 4/7 the area of the original.

• The area of the image is 49/16 the area of the original.

• The area of the image is 16/49 the area of the original.

Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

Circle A, with a radius of 3 in. was dilated by a scale factor of 4 to form Circle A' with a radius of 12 in. How does the area of Circle A' relate to the area of Circle A?

• The area of Circle A' is 4 times the area of Circle A

• The area of Circle A' is 16 times the area of Circle A

• The area of Circle A' is 1/4 the area of Circle A

• The area of Circle A' is 1/16 the area of Circle A

The lengths, in centimeters, of the sides of quadrilateral ABCD are as follows: AB = 3,     BC = 4,  CD = 5, and AD = 5. Quadrilateral ABCD is dilated by a scale factor of 2.5 to form quadrilateral A’B’C’D’,   Which statement about the side lengths of quadrilateral A’B’C’D’ is true?

• A'B' = 6

  B’C’ = 8

• A'B' = 1.2

  B’C’ = 1.6

• A'D' = C'D' = 12.5

  B’C’ = 10

• A'D' = C'D' = 2

A figure is dilated by a scale factor of 8. Which of the following statements about the figure must be true?

• The perimeter and area are both multiplied by 8.

• The perimeter is multiplied by 8 and the area is multiplied by 64.

• The perimeter and area are both divided by 8.

• Add 8 to the perimeter, but multiply the area by 8

A line segment is dilated by a scale factor of 2 centered at a point not on the line segment. Which statement regarding the relationship between the given line segment and its image is true?

• The line segments are perpendicular, and the image is one-half of the length of the given line segment.

• The line segments are perpendicular, and the image is twice the length of the given line segment.

• The line segments are parallel, and the image is twice the length of the given line segment.

• The line segments are parallel, and the image is one-half of the length of the given line segment