Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

try it! 2. describe a series of transformations that shows (\triangle j…

Question

try it! 2. describe a series of transformations that shows (\triangle jklcong\triangle mno). enter your answer. check answer

Explanation:

Step1: Rotate \(\triangle JKL\)

Rotate \(\triangle JKL\) so that the side \(KL\) (which is marked with one tick mark) is in a horizontal - like orientation similar to \(NO\) (also marked with one tick mark).

Step2: Translate and Reflect (if needed)

Translate the rotated \(\triangle JKL\). Then, if necessary, reflect it over a vertical or horizontal line so that the angles \(\angle L\) (the largest angle in \(\triangle JKL\)) and \(\angle O\) (the largest angle in \(\triangle MNO\)) are in the same relative position, and \(\angle K\) and \(\angle N\) are in the same relative position.

Answer:

First, rotate \(\triangle JKL\) to align the sides with the same tick - mark ( \(KL\) and \(NO\)). Then, translate and possibly reflect \(\triangle JKL\) so that the corresponding angles (\(\angle L\) with \(\angle O\), \(\angle K\) with \(\angle N\)) are in the correct positions to show \(\triangle JKL\cong\triangle MNO\)