### Home > CCG > Chapter 5 > Lesson 5.2.1 > Problem5-54

5-54.

On graph paper, graph $\overline{AB}$ if $A(1,6)$ and $B(5,2)$.

1. Find $\overline{AB}$ (the length of $\overline{AB}$). Leave your answer in exact form. That is, do not approximate with a decimal. Explain your method.

2. Reflect $\overline{AB}$across the y-axis to create $\overline{A'B'}$. What type of shape is $ABB'A'$ if the points are connected in order? Then find the area of $ABB'A'$.

Isosceles trapezoid, the area formula is $\frac{\left(\text{base }1+\text{base }2\right)\left(\text{height}\right)}{2}$.

Use the eTool below to view the graph of the line and solve the remaining parts of the problem.
Click the link at right for the full version of the eTool: CCG 5-54 HW eTool