Chapter 4.1, Problem 27E

In Exercises 27-30, use the definition of a parallelogram to

complete each proof.

Given: $\stackrel{-}{RS}\parallel \stackrel{-}{VT}$, $\stackrel{-}{RV}\perp \stackrel{-}{VT}$, and $\stackrel{-}{ST}\perp \stackrel{-}{VT}$

Prove: RSTV is a parallelogram

PROOF
Statements	Reasons
1. $\stackrel{-}{RS}\parallel \stackrel{-}{VT}$	1.?
2.?	2.Given
3.?	3.If two lines are $\perp$ to the same line, they are $\parallel$, to each other
4.?	4.If both pairs of opposite side of a quadrilateral are $\parallel$, the quadrilateral is a $▱$