The vertices of a triangle are P(–3, 8), Q(–6, –4), and R(1, 1). Name the vertices of the image reflected in the x-axis.
a
mc007-3.jpg
b
mc007-2.jpg
c
mc007-1.jpg
d
mc007-4.jpg
change the sign of every y to move it down below
P(–3, -8), Q(–6, +4), and R(1, -1)
The vertices of a triangle are (–8, 6), (1, –3), and (–6, –3). Name the vertices of mc006-1.jpg.
To find the image of a point reflected in the x-axis, we simply negate the y-coordinate of the given point.
Given triangle PQR with vertices P(-3, 8), Q(-6, -4), and R(1, 1), we can find the reflected image by negating the y-coordinate of each vertex.
The new coordinates of the reflected triangle would be:
P'(-3, -8)
Q'(-6, 4)
R'(1, -1)
Therefore, the vertices of the image reflected in the x-axis are P'(-3, -8), Q'(-6, 4), and R'(1, -1).
So, the correct answer is option a)
To find the image of the triangle reflected in the x-axis, you need to reverse the sign of the y-coordinates of each vertex.
Let's go through each vertex and apply this transformation:
1. P(-3, 8): Reverse the sign of the y-coordinate.
The image of P would be P'(-3, -8).
2. Q(-6, -4): Reverse the sign of the y-coordinate.
The image of Q would be Q'(-6, 4).
3. R(1, 1): Reverse the sign of the y-coordinate.
The image of R would be R'(1, -1).
Therefore, the vertices of the triangle after being reflected in the x-axis are:
a) P'(-3, -8)
b) Q'(-6, 4)
c) R'(1, -1)
So, the correct answer is (a)