Question
A line containing the points (-2, 3) and (2, 3) is reflected across the x-axis. How long is the reflected line?
A line segment has endpoints (2, -1) and (5, -4). What are the new endpoints after rotating the segment 90° clockwise?
A rectangle has a side that is 10 units long. How long will this slide be after the figure is translated down 4 units and to the right 5 units?
Triangle XYZ is translated down 4 units and to the left 8 units. The length of side XY is 10 units. What is the length of side X^1Y^1?
Triangle MNO is translated up 5 units and left 2 units. Point N is located at (0, -6). What are the coordinates of N^1?
The shape of a heart is reflected across the x-axis. If the point at the bottom of the heart for the original figure is at (3 1/4, 7 1/2), what are coordinates for the point at the bottom of the heart in the reflected image?
Use the image to answer the question.
A (3, -4) B (7, -4)
|----------------------|
| |
| |
| |
|----------------------|
D (3, -8) C (7, -8)
Reflect square ABCD first across the x-axis, and then across the y-axis to create square A^1 B^1 C^1 D^1. What are the vertices of square A^1 B^1 C^1 D^1?
Which of the following is an equivalent transformation to rotation of an object clockwise 90 degrees?
A. Rotation about the origin 270 degrees clockwise
B. Rotation about the origin 270 degrees counterclockwise
C. Rotation about the origin 90 degrees clockwise
D. Rotation about the origin 180 degrees counterclockwise
Given a point (-7, 4) on a geometric figure, what is the new point after rotating the figure 90 degrees counterclockwise?
Use the image to answer the question.
A= (2, 6)
B
C
Given point A(2, 6) on the triangle, what are the new coordinates of the point after the triangle is rotated 180 degrees counterclockwise?
Use the image to answer the question.
C D
A B
A ^1 C^1
| |
| |
| |
| |
B^1 D^1
What single transformation proves congruence between the two figures? Enter 1 for translation, 2 for reflection, 3 for rotation, or 4 for dilation.
Answer all questions with just the answer(no explanation) Summarization of the answers as well.
A line segment has endpoints (2, -1) and (5, -4). What are the new endpoints after rotating the segment 90° clockwise?
A rectangle has a side that is 10 units long. How long will this slide be after the figure is translated down 4 units and to the right 5 units?
Triangle XYZ is translated down 4 units and to the left 8 units. The length of side XY is 10 units. What is the length of side X^1Y^1?
Triangle MNO is translated up 5 units and left 2 units. Point N is located at (0, -6). What are the coordinates of N^1?
The shape of a heart is reflected across the x-axis. If the point at the bottom of the heart for the original figure is at (3 1/4, 7 1/2), what are coordinates for the point at the bottom of the heart in the reflected image?
Use the image to answer the question.
A (3, -4) B (7, -4)
|----------------------|
| |
| |
| |
|----------------------|
D (3, -8) C (7, -8)
Reflect square ABCD first across the x-axis, and then across the y-axis to create square A^1 B^1 C^1 D^1. What are the vertices of square A^1 B^1 C^1 D^1?
Which of the following is an equivalent transformation to rotation of an object clockwise 90 degrees?
A. Rotation about the origin 270 degrees clockwise
B. Rotation about the origin 270 degrees counterclockwise
C. Rotation about the origin 90 degrees clockwise
D. Rotation about the origin 180 degrees counterclockwise
Given a point (-7, 4) on a geometric figure, what is the new point after rotating the figure 90 degrees counterclockwise?
Use the image to answer the question.
A= (2, 6)
B
C
Given point A(2, 6) on the triangle, what are the new coordinates of the point after the triangle is rotated 180 degrees counterclockwise?
Use the image to answer the question.
C D
A B
A ^1 C^1
| |
| |
| |
| |
B^1 D^1
What single transformation proves congruence between the two figures? Enter 1 for translation, 2 for reflection, 3 for rotation, or 4 for dilation.
Answer all questions with just the answer(no explanation) Summarization of the answers as well.
Answers
Answered by
GPT-4o mini
1. 4 units
2. (1, -5) and (2, -2)
3. 10 units
4. 10 units
5. (0, -1)
6. (3.25, -7.5)
7. A^1(3, 8), B^1(7, 8), C^1(7, 4), D^1(3, 4)
8. B. Rotation about the origin 270 degrees counterclockwise
9. (-4, -7)
10. (-2, -6)
11. 3 for rotation
**Summary of answers:**
1. 4 units
2. (1, -5), (2, -2)
3. 10 units
4. 10 units
5. (0, -1)
6. (3.25, -7.5)
7. A^1(3, 8), B^1(7, 8), C^1(7, 4), D^1(3, 4)
8. B
9. (-4, -7)
10. (-2, -6)
11. 3
2. (1, -5) and (2, -2)
3. 10 units
4. 10 units
5. (0, -1)
6. (3.25, -7.5)
7. A^1(3, 8), B^1(7, 8), C^1(7, 4), D^1(3, 4)
8. B. Rotation about the origin 270 degrees counterclockwise
9. (-4, -7)
10. (-2, -6)
11. 3 for rotation
**Summary of answers:**
1. 4 units
2. (1, -5), (2, -2)
3. 10 units
4. 10 units
5. (0, -1)
6. (3.25, -7.5)
7. A^1(3, 8), B^1(7, 8), C^1(7, 4), D^1(3, 4)
8. B
9. (-4, -7)
10. (-2, -6)
11. 3