GeomA Chapter 3 Test, Part I

Which transformation results in an image with the same shape as the pre-image but with a larger area?

• Dilation with scale factor of 2

• Dilation with scale factor of 1

• Dilation with scale factor of .5

• Translation

A triangle is dilated by a scale factor of ⅓ to produce a new triangle. Which of the following best describes the relationship between the perimeter of the original triangle compared to the perimeter of the new triangle?

• The perimeter of the new triangle is ⅓ that of the original triangle
• The perimeter of the new triangle is 3 times that of the original triangle.
• The perimeter of the new triangle is 1/9 that of the original triangle.
• The perimeter of the new triangle is 9 times that of the original triangle

Tags

CCSS.7.G.A.1

• The center of dilation is (-10, 8).
• The triangles are congruent.
• The scale factor of the dilation is 2.5.
• The dilation is a reduction.

A polygon has a perimeter of 24 units. After a dilation with a scale factor of 3, what is the perimeter of the image of the polygon?

• 21

• 8

• 72

• 27

An object dilated by a scale factor of 1 will become:

• Larger

• Smaller

• Same Size

What is the scale factor of the dilation that takes P to Q?

• $\frac{5}{4}$

• $\frac{2.5}{4}$

• $\frac{4}{5}$

• $\frac{3}{5}$

After a dilation, $\overline{A'B'}$ is the image of  $\overline{AB}$ . If  $\overline{AB}=\ 6\ and\ \ \overline{A'B'}=\ 10\$ , what is the scale factor of the dilation? 

•  $\frac{3}{5}$  

•  $\frac{5}{3}$  

• 2

•  $\frac{1}{2}$  

On the set of axes, rectangle ABCD has vertices A(6,2) B(6,10), C(10,10) and D(10, 2) and rectangle EFGH has vertices E(-1,3) F(-5,3) G(-5,5) and H(-1,5). Which sequence of transformations will map ABCD to EFGH?

• A dilation of ABCD by a scale factor of 2 centered at A

• A dilation of ABCD by a scale factor of $\frac{1}{2}$ centered at A

• A dilation of ABCD by a scale factor of 2 centered at the origin, followed by a rotation of $90\degree\ CCW$ centered at the origin.

• A dilation of ABCD by a scale factor of $\frac{1}{2}$ centered at the origin, followed by a rotation of $90\degree\ CCW$ centered at the origin.

What transformation DOES NOT ALWAYS preserve congruence?

• Dilation

• Rotation

• Reflection

• Translation

What scale factor was used to produce the image?

• 2

• 3

• $\frac{1}{3}$

• $\frac{1}{2}$