Scale Factor Area

James has two similar pieces of plywood. The dimensions of the first piece is 1.5 times the corresponding dimensions of the second piece. Which statement below is true?

• The second piece will have a perimeter that is 1.5 times bigger than the first piece.

• The perimeter of the first piece is 2.25 times bigger than the perimeter of the second piece.

• The area of the first piece is 3.0 times the area of the second piece.

• The area of the first piece will be 2.25 times the area of the second piece.

Which proportion must be true if the 2 trapezoids are similar?

• AB/BD = LM/OP

• AC/LO = CD/OP

• BD/AB = OP/MP

• MP/ LM = CD/AC

Triangle WHY was dilated to form W'H'Y' with the rule (x, y) --------> (1.2x, 1.2y). Which statement is true?

• W'H'Y' is smaller than WHY because the scale factor is less than one.

• W'H'Y' is larger than WHY because the scale factor is less than one.

• W'H'Y' is larger than WHY because the scale factor is greater than one.

• W'H'Y' is smaller than WHY because the scale factor is greater than one.

Triangle TRW is shown on the coordinate grid.

Triangle TRW will be dilated by a scale factor of n with the origin as the center of dilation to create triangle T'R'W'. Which ordered pair best represents the location of point R'?

• 
• ( 3− n, −5n)

• ( -3 + n, −5 + n)

• ( -3 − n, − 5 -n)

Which rule would dilate shows a scale factor of 4

• (x, y) → (y, x)

• (x, y) → (x + 4, y + 4)

• (x, y) → (x, -y)

• (x, y) → (4x, 4y)

The table describes two dilations with the center of dilation at the origin. Which rule describes each dilation?

The image shows​​ (a)   and the scale factor is​​ (b)   ​

• an enlargement

• 3

• a reduction

• 5

• 4

• 2

What is the scale factor for the dilation that takes quadrilateral ABCD to A'B'C'D'?

• 1/2

• 2

• 1/3

• 3

Which rule would dilate shows a scale factor of 4

• (x, y) → (y, x)

• (x, y) → (x + 4, y + 4)

• (x, y) → (x, -y)

• (x, y) → (4x, 4y)

The table describes two dilations with the center of dilation at the origin. Which rule describes each dilation?