Question

Prove: MNCP is a trapezoid

Answer 1

Oh and the given: is all drawn in the figure

Answer 2

I'd prove 1 pair of sides are parallel... only property of a trapezoid

Answer 3

Yes I actually thought of that but.. I have no idea how!

Answer 4

is AB perpendicular to MN and CP

Answer 5

Nope

Answer 6

does it bisect angle A

Answer 7

Well, it does not say so but yes <BAC is congruent to <PAB

Answer 8

Oh no! I forgot something..

Answer 9

I think you're right AB is an angle bisector

Answer 10

because

Answer 11

it says that between brackets ( use the angle bisector property ) Do you know it?

Answer 12

I think what meant by that ^ is :

AC/AP=CB/BP

Answer 13

the angle bisector property is to do with the ratio of sides.

then the ratio BP:BC = AP:AC is MN and AB intersect at X then the property can be applied again

XN:XM = AN:AM so the sides are in ratio and you have a congruent angle... so you can prove similarity.... in the triangles.... AMX and ACB

the angle A and M are equal because of corresponding angles in similar triangles are equal.

and A and M are corresponding angles in parallel lines... so MN is parallel to AB.... hence trapezoid

Answer 14

i think you mixed up the angles... since MN and AB are not parallel (AB intersects MN)

Answer 15

but the idea seems to be correct -- showing that those triangles are similar and so the angles are congruent

Answer 16

Aooh! Nicee :) Thank youuuu :D