Triangle ABC

Question

is reflected across the x
-axis. If the coordinates of the original shape are A(−4,−1)
, B(−5,−2)
, and C(−10,−1)
, what are the coordinates of A′
, B′
, and C′

Answer 1

When a point is reflected across the x-axis, the x-coordinate remains the same while the y-coordinate changes its sign.

Given the coordinates of triangle ABC:

• \( A(-4, -1) \)
• \( B(-5, -2) \)
• \( C(-10, -1) \)

We can find the coordinates of the reflected points \( A' \), \( B' \), and \( C' \) as follows:

1. For point \( A' \): \[ A' = (-4, -(-1)) = (-4, 1) \]

2. For point \( B' \): \[ B' = (-5, -(-2)) = (-5, 2) \]

3. For point \( C' \): \[ C' = (-10, -(-1)) = (-10, 1) \]

Thus, the coordinates after reflection across the x-axis are:

• \( A'(-4, 1) \)
• \( B'(-5, 2) \)
• \( C'(-10, 1) \)