If the coordinates of a point P are (1, -1, 2), what is the x-coordinate of the

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Question: 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)

Options:

Correct Answer: -1

Exam Year: 2023

Solution:

Reflection across the yz-plane changes the sign of the x-coordinate. So, Q = (-1, -1, 2).

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)

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)

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.

Reflection in Geometry – Understanding how reflecting a point across a plane affects its coordinates, specifically how the x-coordinate changes when reflecting across the yz-plane.