Triangle ABC 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′?(1 point)
To find the reflected coordinates of points A, B, and C across the x-axis, we need to keep the x-coordinate the same and reverse the sign of the y-coordinate.
Let's find the coordinates of each point:
A':
The x-coordinate of A remains the same: x = -4
The y-coordinate of A changes sign: y = -(-1) = 1
So, the coordinates of A' are (-4, 1).
B':
The x-coordinate of B remains the same: x = -5
The y-coordinate of B changes sign: y = -(-2) = 2
So, the coordinates of B' are (-5, 2).
C':
The x-coordinate of C remains the same: x = -10
The y-coordinate of C changes sign: y = -(-1) = 1
So, the coordinates of C' are (-10, 1).
Therefore, the coordinates of A', B', and C' are (-4, 1), (-5, 2), and (-10, 1) respectively.
friend produced a reflection over the y-axis that looks like this figure. You notice a problem with the reflection. How would you suggest correcting the reflection?
(1 point)
Shift the reflected figure 1 unit to the left.
Shift the reflected figure 1 unit up.
Shift the reflected figure 1 unit down.
• Shift the reflected figure 1 unit to the right.
The reflection across the x-axis will change the signs of the y-coordinates while leaving the x-coordinates unchanged.
So the new coordinates are:
A'(-4, 1)
B'(-5, 2)
C'(-10, 1)