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Hello there.
00:02
In this question, we are given a set of three vertices and asked to determine if the figure represented by those vertices has line symmetry, rotational symmetry, or both, and then give any lines of symmetry.
00:18
So let's start by sketching these points.
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We have point j at point 4 .4.
00:27
So we go over 4 and up 4 on the x and y axis, and there's our point j.
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Point.
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Point k is at minus 2 and 2.
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There's our point.
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We have point l at 2 and minus 2.
00:45
That's our point.
00:48
So let's sketch this out.
00:50
I'll draw some lines in there to connect these points.
00:58
So remember our line symmetry means that there's a line that we can draw where we can reflect this image and the resulting image is going to be the same as the pre -image.
01:06
So we're going to reflect it across a line and it still looks like itself.
01:16
And rotational symmetry means we can rotate about a point and at some point during the rotation, we end up with an image that looks like itself.
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So let's take a look at this figure.
01:28
What have we got here? it's tilted a little bit on its side, but we can see that what we've got is an isosceles triangle.
01:35
So if we imagine a line where we can reflect this image...