Transformations Trivia Questions
15 Questions
| Attempts: 545
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Questions and Answers
- 1.
1. Which of the following transformations does not preserve orientation
- A.
A
- B.
B
- C.
C
- D.
D
Correct Answer
A. AExplanation
Preserving orientation means that you are looking at the same side of a figure before and after the transformation occurs. Therefore, the only type of transformation that does not preserve orientation is a reflection. This is because reflecting a shape flips it over either the x or y-axis which allows us to see the opposite side of the shape after the reflection.Rate this question:
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- 2.
2. Pentagon ABCDE is rotated 180° counterclockwise about the origin to form Pentagon A’B’C’D’E’.Which statement is true?
- A.
A
- B.
B
- C.
C
- D.
D
Correct Answer
C. CExplanation
Remember that in a rotation. the shape stays the same size and all of the angle measures stay the same as well. The motion rule for a 180 degree rotation is (-x, -y). Use your brain dump for rotations to check for the motion rules!Rate this question:
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- 3.
3. Figure CDEF is dilated about the origin to create figure C’D’E’F’.Which of the following statements are true?
- A.
A
- B.
B
- C.
C
- D.
D
Correct Answer
C. CExplanation
Remember that even though the size of a shape changes in a dilation, the angle measures do not change. In fact, none of the 4 transformations we learn about cause angle measures on a shape to change. This shape was reduced in size by a scale factor of one-half.Rate this question:
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- 4.
4. The coordinates of the vertices of a quadrilateral are P(1, 2), R(1, 4), S(3, 4) and T(4, 2). Quadrilateral PRST is reflected across the x-axis to create quadrilateral P’R’S’T’. Which rule describes this transformation?
- A.
A
- B.
B
- C.
C
- D.
D
Correct Answer
A. AExplanation
There are only two rules for reflections because we can only flip a shape over the x-axis or the y-axis. Hint: the rules are (-x, y) and (x, -y)... notice the x and y DO NOT switch places in reflection rules. This only happens in rotations. This means answer choices B and C could have been eliminated.Rate this question:
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- 5.
5. Circle I was dilated with the origin as the center of dilation to create Circle II. What scale factor was used to dilate the shape?
- A.
A
- B.
B
- C.
C
- D.
D
Correct Answer
B. BExplanation
The transformation that occurred here is a dilation. It was an enlargement, so the scale factor must be greater than 1. 3/8 is not greater than 1, so answer choice A is out. Answer choices C and D are translation rules, not dilation rules.Rate this question:
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- 6.
6. Figure L, the large arrow, was dilated with the origin as the center of dilation to create Figure M, the small arrow. What scale factor was used to create Figure M?
- A.
A
- B.
B
- C.
C
- D.
D
Correct Answer
C. CExplanation
This dilation was a reduction, so the scale factor must be less than 1. This eliminates answer choices A and D. You can use any vertex or side length on the arrow (must be a horizontal or vertical side) to see how much smaller the new arrow is. The vertical side of the arrow went from 6 units long to 2 units long. 6 x 1/3 = 2 so the scale factor must be 1/3.Rate this question:
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- 7.
7. Quadrilateral PQRS and point R' are graphed on the coordinate grid below. If quadrilateral PQRS is dilated about the origin, what would be the coordinates of S′?
- A.
A
- B.
B
- C.
C
- D.
D
Correct Answer
B. BExplanation
The scale factor used to get from point R to point R' was .5
Point S is currently located at (-4, -8). If we apply a scale factor of .5 to this point, point S' should be at (-2, -4).Rate this question:
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- 8.
8. With the origin as the center of dilation, trapezoid WXYZ will be dilated by a scale factor of 2/3 to form trapezoid W′X′Y′Z′. What will be the length, in units, of side ZY?
- A.
A
- B.
B
- C.
C
- D.
D
Correct Answer
B. BExplanation
With a scale factor of 2/3, we know this dilation will be a reduction because 2/3 is less than 1. Side ZY on the pre-image is 12 units long. If we multiply 12 times the scale factor of 2/3, we get a new side length for ZY of 8.Rate this question:
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- 9.
Quadrilateral ABCD is transformed according to the rule (x + 3,y + 3) to create quadrilateral A’B’C’D’. Based on this information, which statement is true?
- A.
A The angle measures of quadrilateral A'B'C'D' are greater than the angle measures of quadrilateral ABCD.
- B.
B The side lengths of quadrilateral A'B'C'D' are three times greater than the side lengths of quadrilateral ABCD.
- C.
C The angle measures of quadrilateral A'B'C'D' are less than the angle measures of quadrilateral ABCD.
- D.
D The side lengths of quadrilateral A'B'C'D' are the same as the side lengths of quadrilateral ABCD.
Correct Answer
D. D The side lengths of quadrilateral A'B'C'D' are the same as the side lengths of quadrilateral ABCD.Explanation
When we see adding and subtracting in a motion rule, there is only one type of transformation taking place. Which transformation is this and what does it cause to happen to the shape?Rate this question:
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- 10.
Triangle MNO is rotated counterclockwise 90 degrees about the the origin to create Triangle M'N'O' . Which of the following would be the location of M'.
- A.
A (-3, -5)
- B.
B (-3, 5)
- C.
C (3, -5)
- D.
D (3, 5)
Correct Answer
A. A (-3, -5)Explanation
Rotating the image 90 degrees counterclockwise requires the use of the motion rule (-y, x). Remember that this means
"(opposite y, x stays the same sign)".Rate this question:
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- 11.
The figure is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which rule describes this transformation?
- A.
A (x, -y)
- B.
B (-x, y)
- C.
C (-x, -y)
- D.
D (-y, -x)
Correct Answer
C. C (-x, -y)Explanation
Check your rules for rotations if you missed this one.Rate this question:
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- 12.
Which of the following is not true?
- A.
A A translation preserves congruence.
- B.
B A 90° counterclockwise rotation about the origin preserves congruence.
- C.
C A reflection preserves orientation.
- D.
D A dilation preserves orientation.
Correct Answer
C. C A reflection preserves orientation.Explanation
Reflections are the ONLY transformations that do not preserve orientation.Rate this question:
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- 13.
In the situation that the right triangle was reflected over the x-axis, which of the following would be a point on the new image?
- A.
A (-1, 10)
- B.
B (-1, 2)
- C.
C (7, 2)
- D.
D (1, -10)
Correct Answer
D. D (1, -10)Explanation
A reflection over the x-axis uses the motion rule (x, -y).Rate this question:
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- 14.
Rectangle ABCD is transformed so that point B is mapped to point B’. If B’ is at (1, 2), which motion rule could represent the transformation?
- A.
A (x, -y)
- B.
B (-y, x)
- C.
C (-x, y)
- D.
D (-y, -x)
Correct Answer
A. A (x, -y)Explanation
For B' to end up at (1, 2) there must have been a reflection over the x-axis.Rate this question:
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- 15.
Which of the following motion rules describes the transformation?
- A.
A (x + 5, y - 4)
- B.
B (x - 5, y + 4)
- C.
C (x + 4, y - 5)
- D.
D (x - 4, y + 5)
Correct Answer
B. B (x - 5, y + 4)Explanation
Each point is moving 5 units left and 4 units up.Rate this question:
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Jan 31, 2019Quiz Edited by
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Nov 30, 2016Quiz Created by
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