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True or false: The given shape has a vertical line of symmetry.
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In this question, we’re given a statement and we need to decide whether it’s correct or not.
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Underneath the statement, we’re given a picture of a shape.
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This is the shape that the statement is talking about.
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Now, did you notice the words “line of symmetry” in the question?
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Do you remember what a line of symmetry is?
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If we know that a shape or an object has a line of symmetry, we can think of it like a line or a fold through the middle of the shape.
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And if that shape is symmetrical, then if it were folded, both sides would fit perfectly on top of each other.
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We can also think of symmetry in terms of reflection.
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We know that a shape or a picture has symmetry when we can take half of the shape and see that it reflects perfectly across the line of symmetry and still looks the same.
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And as we can see from these little pictures, lines of symmetry can go in all sorts of directions.
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But our question only talks about one type of line.
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The given shape has a vertical line of symmetry.
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Now, we know that a vertical line is a line that goes up and down.
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It doesn’t slope to the sides at all.
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It’s perfectly straight from top to bottom.
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So, can we draw a line straight up and down from top to bottom somewhere on this shape so that it becomes a line of symmetry?
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Well, we know that for lines of symmetry to work, they need to run through the middle of objects.
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So, if we can find the middle of this shape, which is here, and then draw a perfectly vertical line.
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What do you think?
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Is this a line of symmetry?
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If we folded this shape across the dotted line, do you think one side would fold perfectly on top of the other?
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If we put a mirror along the dotted line, do you think we’d see that one side is a reflection of the other?
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I think we would, wouldn’t we?
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The line of symmetry in this shape doesn’t run horizontally from side to side and is not sloped in any way.
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But we can see that the shape has a vertical line of symmetry.
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The statement in the question is true.