Question

which coordinate is the same as the x - coordinate of point m? x - coordinate of point m, y - coordinate of point m, opposite of x - coordinate of point m, opposite of y - coordinate of point m

Explanation:

Step1: Identify coordinates of M and M'

Point \( M \) has coordinates \( (4, 3) \), and point \( M' \) has coordinates \( (3, -4) \). We need to check which coordinate (x or y - related) of \( M \) matches the x - coordinate of \( M' \) (which is 3) or other options.

Step2: Analyze each option

• Option 1: x - coordinate of \( M \) is 4, x - coordinate of \( M' \) is 3. Not the same.
• Option 2: y - coordinate of \( M \) is 3, x - coordinate of \( M' \) is 3. Wait, no, wait. Wait, the question is "Which coordinate is the same as the x - coordinate of point \( M' \)". Wait, \( M' \) x - coordinate is 3. Let's re - check. Wait, \( M=(4,3) \), \( M'=(3, - 4) \). Let's check the options:
• "x - coordinate of point M": 4 vs 3 (no)
• "y - coordinate of point M": 3 vs 3 (wait, no, the x - coordinate of \( M' \) is 3, and y - coordinate of \( M \) is 3. Wait, maybe I misread. Wait, the options are:
• x - coordinate of point M
• y - coordinate of point M
• Opposite of x - coordinate of point M (opposite of 4 is - 4, not 3)
• Opposite of y - coordinate of point M (opposite of 3 is - 3, not 3)

Wait, \( M' \) x - coordinate is 3, \( M \) y - coordinate is 3. So the y - coordinate of point \( M \) is the same as the x - coordinate of point \( M' \).

Answer:

y - coordinate of point M