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If the coordinates of a point P are (1, -1, 2), what is the x-coordinate of the
If the coordinates of a point P are (1, -1, 2), what is the x-coordinate of the point Q if it is reflected across the yz-plane? (2023)
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Practice Questions
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Q1
If the coordinates of a point P are (1, -1, 2), what is the x-coordinate of the point Q if it is reflected across the yz-plane? (2023)
1
-1
2
0
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Reflection across the yz-plane changes the sign of the x-coordinate. So, Q = (-1, -1, 2).
Questions & Step-by-step Solutions
1 item
Q
Q: If the coordinates of a point P are (1, -1, 2), what is the x-coordinate of the point Q if it is reflected across the yz-plane? (2023)
Solution:
Reflection across the yz-plane changes the sign of the x-coordinate. So, Q = (-1, -1, 2).
Steps: 6
Show Steps
Step 1: Identify the coordinates of point P, which are (1, -1, 2).
Step 2: Understand that the yz-plane is the plane where x = 0.
Step 3: Know that reflecting a point across the yz-plane means changing the sign of the x-coordinate.
Step 4: Take the x-coordinate of point P, which is 1, and change its sign to -1.
Step 5: Keep the y-coordinate and z-coordinate the same, which are -1 and 2 respectively.
Step 6: Combine the new x-coordinate with the unchanged y and z coordinates to get the coordinates of point Q.
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