To use the ASA Congruence Theorem you have to copy a side and two angles. A straightedge and a compass are required for this.
Practice makes perfect
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 â–³ JKL. To do that, we will draw a straight line that is longer then JK.
To copy the length of JK, we set the compass to measure JK on â–³ JKL. Having measured the length of JK, 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 △ JKL. 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 MO, 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, NO, until it hits MO.
Finally, we will erase whatever is left over of MO.
