Question

Kenny plotted the following pairs of points and said they made a symmetric figure about a line with the rule: y is always 4.

(3, 2) and (3, 6)
(4, 3) and (5, 5)
(5, 3/4) and (5, 7 1/4)
(7, 1 1/2) and (7, 6 1/2)
Is his figure symmetrical about the line? How do you know?
a) Yes, because the x-coordinates of the points are the same on both sides of the line.
b) No, because the y-coordinates of the points are not equal.
c) Yes, because the distance from each point to the line of symmetry is the same.
d) No, because the points do not form mirror images about the line.

Answer 1

No, because the points do not form mirror images about the line.

Step-by-step explanation:

To determine if Kenny's plot is symmetrical about the line with the rule y always being 4, we need to examine the coordinates of the points. If the x-coordinates of the points are the same on both sides of the line, then the figure is symmetric. In this case, the x-coordinates of the points are not the same on both sides of the line, so the figure is not symmetrical about the line. Therefore, the correct answer is option d) No, because the points do not form mirror images about the line.