Answered

Angle I = 20 degrees, side HI = 5, angle L = 20 degrees, and side KL = 5. What additional information would you need to prove that ΔHIJ ≅ ΔKLM by SAS? aAngle H is congruent to angle K. bAngle J is congruent to angle M. cSide IJ is congruent to side LM. dSide HJ is congruent to side KM.



Answer :

The side-angle-side (SAS) theorem says "If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent".

To use the theorem, one more side of the triangles HIJ and KLM must be equal. I is the included angle of triangle HIJand L is the included angle of KLM. So, the two sides that must be equal are IJ and LM, that is, Side IJ must be congruent to side LM. So, option C is correct.