To copy the triangle using the ASA Congruence Theorem, we have to copy two angles and the side that's in between these angles. Let's start by copying the base of $△ J K L .$ To do that, we will draw a straight line that is longer then $\overline{J K} .$

To copy the length of $\overline{J K},$ we set the compass to measure $\overline{J K}$ on $△ J K L .$ Having measured the length of $\overline{J K},$ we will use the same compass setting to measure that exact distance on our segment and erase whatever is leftover.

Next, we have to copy the angles, $∠ J$ and $∠ K,$ from $△ J K L .$ To do that, we draw a set of identical arcs around $M$ and $J$ and another set of identical arcs around $K$ and $N .$

Let's measure $∠ J$ on the original and copy this angle to $∠ M .$ Knowing the direction of $\overline{M O},$ we can go ahead and draw what's going to be our second side. Make it a long line!

We will repeat the procedure for $∠ K$ and $∠ N$ and draw the third side, $\overline{N O},$ until it hits $\overline{M O} .$

Finally, we will erase whatever is left over of $\overline{M O} .$

Exercise

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