Question

Given that line segment LM is congruent to line segment PO, determine the conditions that will make triangle NML congruent to triangle NOP.

Which of the following statements will guarantee that triangle NML is congruent to triangle NOP? (Will post the options as a pic)

Answer 1

u have any guess

Answer 2

Yes , I think it's option 2

Answer 3

@ganeshie8 ? :o

Answer 4

you're right ! and option 1 is also correct. so u tick both options.

Answer 5

Yay :) I can only choose one option though , do you think i should go with the 2nd one ?

Answer 6

It cannot be the second option, because it is stating precisely what you are asked to prove. It can only be the first option.
Reasons :

If LM is parallel to PO, then by the Alternate Interior Angles theorem, angle L is congruent angle P, and angle M is congruent angle O.
Also, angle LNM makes a vertical angle with ONP .
Therefore, all of the angles are congruent , and as a result, so are the triangles.
So the answer is option 1