Question

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?

Angle H is congruent to angle K.
Angle J is congruent to angle M.
Side IJ is congruent to side LM.
Side HJ is congruent to side KM

Answer 1

can somebody help me

Answer 2

This is asking for us to prove the triangles are congruent by using SAS (Side Angle Side)
According to (Mathisfun.com, the URL is too long so I'll DM you it if you need it), "SAS stands for "side, angle, side" and means that we have two triangles where we know two sides and the included angle are equal." "If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent."
That's a lot of words. The one we're focusing on here is the second quote, where if two side and the included angle (The angle between them) are equal to the corresponding (same) sides and angle... the triangles are congruent. Okay so, I drew it out for you:
It's a bit of a mess so here I'll sort it:
Side HI is congruent with side KL (Our first side)
Angle I is congruent with angle L
Side IJ is congruent with LM
Boom, there we go, our two sides with an angle in between.
(One: I know there are more angles, I just picked this one. TWO: I WAS NOT TAUGHT THIS, IF IM WRONG PLEASE TELL ME AND I'LL DELETE THIS RIGHT AWAY, I'M JUST USING INFO I FOUND AND SOME COMMON SENSE)

Answer 3

@TypicalFoxGirl That was correct, thanks for trying to help :)

Answer 4

@Angle thank you!