Chapter 5, Problem 11RP

To determine

Verify that $ABCD$ is an isosceles trapezoid.

Answer to Problem 11RP

  $ABCDisanisoscelesTrapizoid$

Explanation of Solution

Given information:

  

Calculation:

To verify $ABCD$ is an isosceles trapezoid let find the slope of sides,

  $\begin{array}{l}slopeofBC=\frac{\Delta y}{\Delta x}=\frac{6-2}{1-\left(-3\right)}=\frac{4}{4}=1\\ slopeofCD=\frac{\Delta y}{\Delta x}=\frac{6-\left(-7\right)}{10-\left(-3\right)}=\frac{13}{13}=1\end{array}$

So $BC\left|\right|AD$

  $\begin{array}{l}nowverifyCD=BA\\ CD=10-1=9\\ BA=2-\left(-7\right)=9\\ so,\\ BC\left|\right|AD,CD=BA\\ ABCDisanisoscelesTrapizoid\end{array}$

Hence, $ABCDisanisoscelesTrapizoid$ .