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3. describe a sequence of transformations you can use to show ∠jlk≅∠qnr…

Question

  1. describe a sequence of transformations you can use to show ∠jlk≅∠qnr.

lesson 6 describe angle relationships
125
corresponding angles
angles in the same relative position when two lines are cut by a transversal.

Explanation:

Step1: Identify translation

Translate $\angle QNR$ so that point $N$ coincides with point $L$. This can be done by moving $\angle QNR$ 4 units to the right and 2 units down.

Step2: Identify rotation

After translation, rotate $\angle QNR$ counter - clockwise about point $L$ until the rays of $\angle QNR$ align with the rays of $\angle JLK$. The angle of rotation will be such that the orientation of the angles match.

Answer:

First, translate $\angle QNR$ 4 units to the right and 2 units down so that point $N$ coincides with point $L$. Then, rotate the translated $\angle QNR$ counter - clockwise about point $L$ until it coincides with $\angle JLK$.