Scale Factor with Geometric Figures

If the scale factor is less than one, the new figure will be

• an enlargement

• a reduction

• a scale factor

• bigger

Are the following similar? Why or why not?

• Yes, because the corresponding angles are congruent.

• No, the numbers are even

• No, the sides are 2 times larger, but the width is the same.

Which side length corresponds with EF?

• ML

• LM

• OL

• EH

A transformation is applied to create a new figure. Which transformation does not preserve congruence?

• A reflection across the x-axis

• A translation 4 units up

• A dilation by a scale factor of 5

• A rotation 90° counter clockwise

If the scale factor is greater than one, the new figure will be

• reduction

• enlargement

• scale

• not proportional

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?

• A'(9,9) B'(18,18) C'(27,9)

• A'(6,6) B'(9,9) C'(12,6)

• A'(0,0) B'(3,3) C'(6,0)

• A'(1,1) B'(2,2) C'(3,1)

Which rule shows a scale factor of 4?

• (x, y) → (y, x)

• (x, y) → (x + 4, y + 4)

• (x, y) → (x, -y)

• (x, y) → (4x, 4y)

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

• Congruent

• Vertical

• Similar

• Complementary 

Rectangle ABCD is undergoing a series of transformations. Which of the following transformations will NOT cause the resulting rectangle to maintain congruence with rectangle ABCD?

• Translation 3 units left, then translation 7 units down.
  

• Dilation by a scale factor of 3, then dilation by a scale factor of 3.

• Dilation by a scale factor of 2, then dilation by a scale factor of 1/2.

• Translation 4 units right, then translation 6 units up.