Video: Identifying the Line of Reflection That a Known Triangle Is Reflected on to Gain Another Known Triangle

In which line must โ–ณ๐น๐ท๐ฟ be reflected to map it onto โ–ณ๐น๐ถ๐ฟ?

01:15

Video Transcript

In which line must triangle ๐น๐ท๐ฟ be reflected to map it onto triangle ๐น๐ถ๐ฟ?

Letโ€™s start by highlighting triangle ๐น๐ท๐ฟ and triangle ๐น๐ถ๐ฟ. Hereโ€™s triangle ๐น๐ท๐ฟ. And hereโ€™s triangle ๐น๐ถ๐ฟ. In a reflection, every point is the same distance from the central line. And the central line is the line that is being reflected over.

Our points ๐น and ๐ฟ are not changing. Point ๐ท turns into point ๐ถ. Point ๐ท and point ๐ถ are the same distance from the line ๐น๐ธ. ๐ถ is four units away from the line ๐น๐ธ. And ๐ท is four units away from the line ๐น๐ธ. Because points ๐น and ๐ฟ lie on the central line, they wonโ€™t change.

Triangle ๐น๐ท๐ฟ can be reflected over line ๐น๐ธ to produce triangle ๐น๐ถ๐ฟ.

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.