Transformations Trivia Questions

1. 1. Which of the following transformations does not preserve orientation

A

B

C

D

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.

Explanation

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.

2. 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

B

C

D

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.

Explanation

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.

3. 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 (x, -y)

B (-x, y)

C (-x, -y)

D (-y, -x)

Check your rules for rotations if you missed this one.

Explanation

Check your rules for rotations if you missed this one.

4. Which of the following is not true?

A A translation preserves congruence.

B A 90° counterclockwise rotation about the origin preserves congruence.

C A reflection preserves orientation.

D A dilation preserves orientation.

Reflections are the ONLY transformations that do not preserve orientation.

Explanation

Reflections are the ONLY transformations that do not preserve orientation.

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

B

C

D

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.

Explanation

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.

6. 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

B

C

D

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).

Explanation

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).

7. Which of the following motion rules describes the transformation?

A (x + 5, y - 4)

B (x - 5, y + 4)

C (x + 4, y - 5)

D (x - 4, y + 5)

Each point is moving 5 units left and 4 units up.

Explanation

Each point is moving 5 units left and 4 units up.

8. 3. Figure CDEF is dilated about the origin to create figure C'D'E'F'.Which of the following statements are true?

A

B

C

D

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.

Explanation

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.

9. 2. Pentagon ABCDE is rotated 180° counterclockwise about the origin to form Pentagon A'B'C'D'E'.Which statement is true?

A

B

C

D

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!

Explanation

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!

10. 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

B

C

D

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.

Explanation

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.

11. 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

B

C

D

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.

Explanation

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.

12. 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 (-1, 10)

B (-1, 2)

C (7, 2)

D (1, -10)

A reflection over the x-axis uses the motion rule (x, -y).

Explanation

A reflection over the x-axis uses the motion rule (x, -y).

13. 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 (x, -y)

B (-y, x)

C (-x, y)

D (-y, -x)

For B' to end up at (1, 2) there must have been a reflection over the x-axis.

Explanation

For B' to end up at (1, 2) there must have been a reflection over the x-axis.

14. 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 The angle measures of quadrilateral A'B'C'D' are greater than the angle measures of quadrilateral ABCD.

B The side lengths of quadrilateral A'B'C'D' are three times greater than the side lengths of quadrilateral ABCD.

C The angle measures of quadrilateral A'B'C'D' are less than the angle measures of quadrilateral ABCD.

D The side lengths of quadrilateral A'B'C'D' are the same as the side lengths of quadrilateral ABCD.

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?

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?

15. 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 (-3, -5)

B (-3, 5)

C (3, -5)

D (3, 5)

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)".

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)".

Transformations Trivia Questions

1. 1. Which of the following transformations does not preserve orientation

2.

What first name or nickname would you like us to use?

2. 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?

3. The figure is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which rule describes this transformation?

4. Which of the following is not true?

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?

6. 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′?

7. Which of the following motion rules describes the transformation?

8. 3. Figure CDEF is dilated about the origin to create figure C'D'E'F'.Which of the following statements are true?

9. 2. Pentagon ABCDE is rotated 180° counterclockwise about the origin to form Pentagon A'B'C'D'E'.Which statement is true?

10. 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?

11. 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?

12. 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?

13. 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?

14. 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?

15. 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'.