Thread: [SOLVED] Congruency of lines?

Hi, i;m really stuck on my maths homework.
It's about congruency and stuff, but this is about proving that lines are the same?
Anyhoo, here's the question:

In the diagram, DX = XC, DV = ZC,and the lines AB and DC are parallel. Prove That:
a) AX = BX
b) AC = BD
c) triangles DBZ and CAV are congruent

my roughly drawn diagram to this question is here:
http://i825.photobucket.com/albums/z...ers3/maths.jpg

Please help i'm really stuck.

If you need help reading the diagram just ask me what the matter is.

Thankyou sooo much!!

From the given we see that is isosceles, so .
By the use of alternate interiors angles we get
From that we see that is isosceles.

Surely you can finish it from all the above.

many thanks,

could you help with this one aswell

PQRS is a square and equilateral triangles PQA and RQB are drawn witgh A inside and B outside the square.

By considering triangles PQR and AQB, prove that AB is equal to PR.

Thankyouu

Originally Posted by doopers3

could you help with this one aswell
PQRS is a square and equilateral triangles PQA and RQB are drawn witgh A inside and B outside the square.
By considering triangles PQR and AQB, prove that AB is equal to PR.

If this is a new question, then by forum rules you must start a new thread.