Question

Can you prove DFG is congruent to MNP?
Suppose DF is congruent to MN, DG congruent to MP, angle D is congruent to angle P. Can you prove that Triangle DFG is congruent to Triangle MNP? Explain your
answer.

Answer 1

Yes you can by since FD=NM then FG=NP and since it said DG= MP all the sides are congruent. IN additionally since Angle P=D than Angle M=G because it is an Isosceles. And then the top anle is the same because the other two angles are know and the angles in a triangle must add up to 180 degrees. Now that we know all the sides and angles and their all equal to each other than the triangles must be congruent.

Answer 2

IF the marked angle in triangle MNP was angle M (and not angle P), then you could use the SAS postulate

Answer 3

but the angles are marked in two different spots, so I don't think it's going to work

Answer 4

I guess you could say that because the side opposite angle P is MN, and because MN = DF and you have 2 congruent sides, this must mean that angle G = angle P

Answer 5

so (not 100% sure), you can make this marking

Answer 6

but that still doesn't help us with triangle MNP

we still don't have the angle M (ie we can't show it's congruent to angle D)

so it looks like you would have to use the SSA case...but that is not a valid congruence property

Answer 7

It must not be able to prove that DFG = MNP

Answer 8

yeah I don't think we can prove the two triangles are congruent

Answer 9

they may not be congruent (who knows)