Dilations & Similar & Congruent

Multiple Choice

What scale factor was used to produce the image?

• 2

• 3

• 1/3

• 1/2

Multiple Choice

What scale factor was used to produce the image?

• 2

• -2

• ¹/₂

• 1

Multiple Choice

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor r = 2.

• (2,4.5)

• (-8,-18)

• (8,18)

• (9,4)

Multiple Choice

Dilate Point B by a scale factor of 1/2

• (1.5,-4)

• (-1.5,1)

• (-1,-1.5)

• (-2,-2)

Multiple Choice

When a dilation has a scale factor greater than one, the dilation is an enlargement.

• True

• False

Multiple Choice

When the scale factor of a dilation is less than one, the dilation is a reduction.

• True

• False

Multiple Choice

How do you write the algebraic notation when the scale factor is 3?

• (x, y) goes to (1/3x, 1/3y)

• (x, y) goes to (-3x, -3y)

• (x, y) goes to (x + 3, y + 3)

• (x, y) goes to (3x, 3y)

Multiple Choice

The point A (8, 12) was dilated to become point A' (2, 3). What was the scale factor?

• ½

• ¼

• 4

• 2

Multiple Choice

A dilation is which of the following: 

• only an enlargement

• only a reduction

• Either an enlargement or a reduction

• Neither an enlargement or a reduction

Multiple Choice

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(3,3) B(6,6) C(9,3)

• 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)

Multiple Choice

Which two figures are congruent?

• Figures A and B

• Figures A and C

• Figures A and D

• Figures C and D

Multiple Choice

Two figures are ______ if one can obtained from the other by a series of transformations and dilations.

• similar

• scale factor

• correspomnding parts

• similar polygons

Multiple Choice

Triangle ABC has vertices A(0,0), B(2,4), C(6,0). Match each image with the description of its transformation.

A'(0, 0), B'(2, -4), C'(6, 0)

• Similar; a dilation with a scale factor of 1/2

• Congruent; a 90 degree cockwise notation about the origin

• Congruent; a reflection over the x-axis

• SImilar: a translation of

  (x +1, y - 3) followed by a dilation with a scale factor of 2

Multiple Choice

Which transformation(s) create(s) congruent figures?

• Dilation

• Translation, Reflection, Rotation

• Dilation and Translation

• Dilation and Reflection

Multiple Choice

Which transformation(s) create(s) similar figures?

• Dilation

• Translation, Reflection, and Rotation

• Translation and Reflection

• Reflection and Rotation

Multiple Choice

When talking about figures on a coordinate plane, what does "congruent" mean?

• Same shape, same size

• Same shape, size changes

• Different shape, different size

• Same shape, different size

Multiple Choice

When talking about figures on a coordinate plane, what does "similar" mean?

• Same shape, side lengths are proportional and angle measure are the same

• Same shape, side length are different and angles are different

• Different shape, different sizes

• Shapes sort of the same, but sides and angles are different

Multiple Choice

Fill in the blank: A dilation creates ___________ figures.

• Congruent

• Similar

Multiple Choice

Fill in the blank: Reflections create __________ figures.

• Similar

• Congruent

Multiple Choice

Which of the statements is true about the graphed triangles?

• They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.

• They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

• They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.

• They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.