Quiz about Similarity Transformation

Question 1

One side of a triangle on the coordinate plane is 4 units long. If it undergoes a dilation about the origin with a scale factor of 2, what will the length be?

Accepted Answer

8

Answer

2

Answer

4

Answer

16

Question 2

Which of the statements is true about the graphed triangles?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 3

Which scale factor shrinks a figure?

Accepted Answer

k= 1/3

Answer

k = 0

Answer

k =2

Answer

k = 1

Question 4

(6, -4) -- Dilate by 1/2 and reflect across the origin.

Accepted Answer

(-3, 2)

Answer

(-3, -2)

Answer

(12, -8)

Answer

(-12, 8)

Answer

(2, -3)

Question 5

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

Accepted Answer

$$\left(x,y\right)\rightarrow\left(x+5,y-8\right)$$

Answer

$$\left(x,y\right)\rightarrow\left(x+5,y-5\right)$$

Answer

$$\left(x,y\right)\rightarrow\left(x+1,\ x-5\right)$$

Answer

$$\left(x,y\right)\rightarrow\left(x+4,y-5\right)$$

Question 6

Which does NOT describe a rigid motion?

Accepted Answer

$$\left(kx,ky\right)$$

Answer

$$\left(-x,-y\right)$$

Answer

$$\left(x+a,\ y+b\right)$$

Answer

$$\left(-y,\ x\right)$$

Question 7

Describe the similarity transformation that maps ABC to DEF (dilations have a center at the origin).

Accepted Answer

dilation with a scale factor of 2 followed by a translation 4 units right and 3 units down

Answer

dilation with a scale factor of 1/2 followed by a translation 4 units left and 3 units up

Answer

translation 4 units right and 3 units down followed by a dilation with a scale factor of 2

Answer

translation 4 units left and 3 units up followed by a dilation with a scale factor of 1/2

Question 8

Describe the similarity transformation that maps WXY to ABC (dilations have a center at the origin)

Accepted Answer

dilation with a scale factor of 1/3 followed by a reflection in the y-axis

Answer

dilation with a scale factor of 1/3 followed by a reflection in the x-axis

Answer

dilation with a scale factor of 3 followed by a reflection in the y-axis

Answer

dilation with a scale factor of 3 followed by a reflection in the x-axis

Question 9

Which sequence of transformations will map ABC onto A'B'C'?

Accepted Answer

dilation and rotation

Answer

reflection and translation

Answer

rotation and reflection

Answer

translation and dilation

Question 10

A dilation produces a congruent figure

Accepted Answer

False

Answer

True

Question 11

Question 11.

Accepted Answer

89 degrees

Answer

119 degrees

Answer

90 degrees

Answer

81 degrees

Question 12

Question 12.

Accepted Answer

Angles 4 and 5 are supplementary because they are same-side interior angles.

Answer

Angles 2 and 6 are supplementary because they are corresponding angles.

Answer

Angles 1 and 8 are congruent because they are corresponding angles.

Answer

Angles 3 and 6 are congruent because they are same-side interior angles.

Question 13

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)

Accepted Answer

A'(9,9) B'(18,18) C'(27,9)

Answer

A'(6,6) B'(9,9) C'(12,6)

Answer

A'(0,0) B'(3,3) C'(6,0)

Answer

A'(1,1) B'(2,2) C'(3,1)

Question 14

Determine where X' would be if you translated X 3 units to the left and 9 units down.

Accepted Answer

(-4, -5)

Answer

(-4, 4)

Answer

(-10, 2)

Answer

(-1, 5)

Question 15

Under what composition of transformations does triangle ABC map onto triangle A''B''C''

Accepted Answer

Reflection over x-axis, then Rotation of 90 Degrees

Answer

Rotation of -90 Degrees, then Reflection over y-axis

Answer

Reflection over y-axis, then Rotation of -90 Degrees

Answer

Rotation of 90 Degrees, then Reflection over x-axis

Question 16

State the coordinates of the image of point C after a dilation with a scale factor of 1/2 and center point P.

Accepted Answer

(-6, 1)

Answer

(-3, -2)

Answer

(1, -6)

Answer

(-2, -3)

Question 17

What is the midpoint between (-4,4) and (-2,2)?

Accepted Answer

(-3,3)

Answer

(3,2)

Answer

(4,5)

Answer

(6,7)

Question 18

How are the triangles congruent?

Accepted Answer

ASA

Answer

AAS

Answer

SAS

Answer

SSS

Question 19

How are the triangles congruent?

Accepted Answer

ASA

Answer

HL

Answer

SAS

Answer

AAS

Question 20

What is the perimeter (in units) of the triangle formed by the points (-3,1), (-3,5), and (4,1)?

Accepted Answer

19.06

Answer

65

Answer

8.06

Answer

14

Question 21

If ABCD is a parallelogram, what is the length of BD?

Accepted Answer

10

Answer

11

Answer

7

Answer

5

Question 22

The figure is a parallelogram.
Solve for x.

Accepted Answer

11

Answer

1

Answer

7

Answer

6

Question 23

Which of the following describes the sequence of transformations shown?

Accepted Answer

Translate up and then rotate 90 degrees about the origin.

Answer

Reflect across the x-axis and then rotate -90 degrees around the origin

Answer

Rotate -90 degrees around the origin and then translate down.

Answer

Reflect across the x-axis and then reflect across the y-axis.

Similarity Transformation

27 questions

One side of a triangle on the coordinate plane is 4 units long. If it undergoes a dilation about the origin with a scale factor of 2, what will the length be?

Which of the statements is true about the graphed triangles?

Which of the following are Dilations?

Which scale factor shrinks a figure?

(6, -4) -- Dilate by 1/2 and reflect across the origin.

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

Which does NOT describe a rigid motion?

Describe the similarity transformation that maps ABC to DEF (dilations have a center at the origin).

Describe the similarity transformation that maps WXY to ABC (dilations have a center at the origin)

A sequence of transformations is applied to a polygon. Identify each sequence of transformations where the resulting polygon has a greater area than the original polygon.

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