Question

Find the lines of symmetry for each shape. Select all that apply. .A.lb.mc.nd.none

Answer 1

For the given shape, only line m serves as a line of symmetry, creating mirror-image halves that can be precisely overlapped. Lines l and n, while dividing the shape, do not exhibit this overlapping symmetry.

A line of symmetry is a line that passes through a plane shape, dividing it into two equal halves that are mirror images of each other. In the context of the question, three lines—l, m, and n—are considered, and the task is to identify which of these lines serve as lines of symmetry for a given shape.

The key criterion for determining a line of symmetry is equality on both sides of the line. If the shape on each side is a mirror image or complement of the other, then the line is a symmetry line. Upon examining each line, it becomes evident that only line m achieves this symmetry, as it divides the shape in a manner where the two resulting pieces can be precisely overlapped. In contrast, lines l and n, while dividing the shape into two, do not produce the same overlapping effect that line m does.

In summary, line m is the line of symmetry for this particular shape, as it satisfies the criterion of producing equal and complementary halves that can be perfectly overlapped.

Answer 2

When we talk of a line of symmetry, we mean a line that passes through a plane shape and divides the shape into exactly two equal halves.

Any line that passes through a shape and gives us two other shapes which are complements of each other such that when they are joined together gives back the original shape.

In the question, we can identify three lines , l , m and n and we want to select which of these lines are lines of symmetry.

How do we go about this?

We simply look at both sides of the line, if what we have on both lines are equal, then what we have is a line of symmetry.

Looking at each line drawn , we can see that only line m divides the shape in a way that the two pieces can be overlapped.

Although the other two lines cut the shape into two, they do not give that overlapping image that line m would give

Hence, for this shape, line m is the line of symmetry