Question Video: Understanding the Effect of a Reflection on a Triangle Mathematics • 8th Grade

What is the image of โ–ณ๐น๐ท๐ฟ under reflection in line ๐ธ๐น?

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Video Transcript

What is the image of triangle ๐น๐ท๐ฟ under reflection in line ๐ธ๐น?

Letโ€™s start this question by finding triangle ๐น๐ท๐ฟ, which is marked here in orange on our diagram. Next, our line ๐ธ๐น, which we can mark in pink on our diagram. To find the image then, we need to see what shape will be created by this line of reflection.

The point ๐ท would be reflected to give us point ๐ถ. Our point ๐น lies on the line of reflection, so it will be its own image. And the same will be true of point ๐ฟ. The image that will be created will have the same shape as triangle ๐น๐ท๐ฟ. Therefore, the image of triangle ๐น๐ท๐ฟ under reflection in line ๐ธ๐น is triangle ๐น๐ถ๐ฟ.

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