# Proving that lines are parallel

Hi, I need help solving this problem - any help would be appreciated :)

$$P$$ and $$Q$$ are points on the bisector of the exterior angle $$A$$ of triangle $$ABC$$ with A between $$P$$ and $$Q$$, and $$PB$$ is parallel to $$QC$$. Point $$D$$ is on BC such that $$DP=DQ$$. Prove that $$AB$$ is parallel to $$DQ$$.

Note by Julian Yu
2 years, 4 months ago

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$...$$ or $...$ to ensure proper formatting.
2 \times 3 $$2 \times 3$$
2^{34} $$2^{34}$$
a_{i-1} $$a_{i-1}$$
\frac{2}{3} $$\frac{2}{3}$$
\sqrt{2} $$\sqrt{2}$$
\sum_{i=1}^3 $$\sum_{i=1}^3$$
\sin \theta $$\sin \theta$$
\boxed{123} $$\boxed{123}$$

Sort by:

I have drawn a sketch for the problem , but according to your statements DQ is part of PQ,which passes through point A. so far, as DQ & AB , both of them passes through point A , that means , they intersect at point A . therefore they can not be parllel. because they intersect.

- 1 year, 2 months ago