Similar Figures Dilations

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Which rules best represents the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D'?

• (x,y)--->(0.4x,0.4y)

• (x,y)--->(x+3,y+1.5)

• (x,y)--->(2.5x,2.5y)

• (x,y)--->(x+0.4,y+0.4)

Select all answers that would create a dilation.

• (x,y) -----> (2x,4y)

• (x,y) -----> (-2x,-2y)

• (x,y) -----> (½x,½y)

• (x,y) -----> (3x,3y)

• (x,y) -----> (1.2x,1.2y)

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.

Rectangle EFGH is dilated by a scale factor of 3. The origin (0,0) is the center of dilation. E(1,2); F(3,2); G(3,-1); H(1,-1). Which of these is the new, dilated rectangle?

• (x,y) -----> (0.4x,0.4y)

• (x,y) -----> (x+3,y+1.5)

• (x,y) -----> (2.5x,2.5y)

• (x,y) -----> (x-1.5,y-3)

Find the rule that describes the dilation.

• (x, y)→(0.4x, 0.4y)

• (x, y)→ (x + 3, y + 1.5)

• (x, y)→ (2.5x, 2.5y)

• (x, y) → (x - 1.5, y - 3)

Triangle DEF is similar to triangle ABC. What is a sequence of transformations that maps triangle ABC to triangle DEF?

• Reflection then rotation

• Rotation then dilation with scale factor of 2

• Rotation then dilation with scale factor of 0.5

• Rotation then translation