Dilations and Perimeter

A triangle ABC with sides AB = 8, BC = 16, and AC = 17 is dilated to form a triangle with side B'C' = 8. Which of the following statements about the sides of the image of triangle ABC?

• A'B' = 8

  and A'C' = 17

• A'B' = 0

  and A'C' = 9

• A'B' = 4

  and A'C' = 8.5

• Impossible to determine

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

• Congruent

• Vertical

• Similar

• Complementary

A figure is dilated by a scale factor of 4. Which of the following statements about the figure must be true?

• The perimeter and area are both multiplied by 4.

• The perimeter is multiplied by 4 and the area is multiplied by 16.

• The perimeter and area are both divided by 4.

• The perimeter is multiplied by 16 and the area is multiplied by 4.

The perimeter of the larger square is 2 times larger than the smaller square.

• True

• False

The red triangle has been dilated by a scale factor of 1/4, which triangle represents the image? 

• green triangle 

• red triangle 

• black triangle

• none of these 

Does the image show a Dilation?

• Yes

• No

The scale factor for this dilation is:

Mathematical Equivalence

ON

What is the rule for the dilation pictured?

• (x, y) → (½x, ½y)

• (x, y) → (x + 2, y + 2)

• (x, y) → (2x, 2y)

• (x, y) → (2x, 3y)

Dilate Point A by a scale factor of 1/2

• (-4,-4)

• (-1,-4)

• (-1,-1)

• (-2,-2)

Both the side lengths and perimeter are 3 times larger in the bigger rectangle.

• True

• False