Worked example
Reflect the point (2, 3) across the x-axis. What are the image coordinates?
Answer & why
Answer: (2, -3)
The horizontal coordinate stays 2. The vertical coordinate changes from 3 to -3, so the image is (2, -3).
Grade 8 · Math
Reflect a point across the x-axis
Use coordinate structure to describe a reflection across the x-axis.
6 authored questions + worked example
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All questions
All 6 authored questions for this skill.
Question 1
Reflect the point (6, -2) across the x-axis. What are the image coordinates?
- (6, 2)
- (-6, -2)
- (-2, 6)
- (-6, 2)
A hint
A reflection across the x-axis keeps x and changes the sign of y.
Answer & why
Answer: (6, 2)
The horizontal coordinate stays 6. The vertical coordinate changes from -2 to 2, so the image is (6, 2).
Question 2
Reflect the point (-3, -7) across the x-axis. What are the image coordinates?
- (-3, 7)
- (3, 7)
- (-7, -3)
- (3, -7)
A hint
A reflection across the x-axis keeps x and changes the sign of y.
Answer & why
Answer: (-3, 7)
The horizontal coordinate stays -3. The vertical coordinate changes from -7 to 7, so the image is (-3, 7).
Question 3
Reflect the point (8, 1) across the x-axis. What are the image coordinates?
- (1, 8)
- (-8, -1)
- (-8, 1)
- (8, -1)
A hint
A reflection across the x-axis keeps x and changes the sign of y.
Answer & why
Answer: (8, -1)
The horizontal coordinate stays 8. The vertical coordinate changes from 1 to -1, so the image is (8, -1).
Question 4
Reflect the point (1, -6) across the x-axis. What are the image coordinates?
- (-6, 1)
- (1, 6)
- (-1, 6)
- (-1, -6)
A hint
A reflection across the x-axis keeps x and changes the sign of y.
Answer & why
Answer: (1, 6)
The horizontal coordinate stays 1. The vertical coordinate changes from -6 to 6, so the image is (1, 6).
Question 5
Reflect the point (2, 3) across the x-axis. What are the image coordinates?
- (-2, -3)
- (3, 2)
- (-2, 3)
- (2, -3)
A hint
A reflection across the x-axis keeps x and changes the sign of y.
Answer & why
Answer: (2, -3)
The horizontal coordinate stays 2. The vertical coordinate changes from 3 to -3, so the image is (2, -3).
Question 6
Reflect the point (-4, 5) across the x-axis. What are the image coordinates?
- (5, -4)
- (-4, -5)
- (4, -5)
- (4, 5)
A hint
A reflection across the x-axis keeps x and changes the sign of y.
Answer & why
Answer: (-4, -5)
The horizontal coordinate stays -4. The vertical coordinate changes from 5 to -5, so the image is (-4, -5).