Chapter 6.3, Problem 8PSB

To determine

To prove that a segment on the slide is parallel to its image on the screen.

Explanation of Solution

Given:

The given figure is-

  

Calculation:

  

  $\overline{AD}\cap \overline{BC}=P$

This means ABDC belong to a plane which means $m\parallel n$

The intersection lines of a plane with two parallel planes are parallel

  $\overline{AB}\parallel \overline{CD}$

To determine

To prove that the angles marked 1 and 2 in the diagram are congruent.

Explanation of Solution

Given:

The given figure is-

  

Calculation:

Since $\overline{AB}\parallel \overline{CD}$ .

  $\angle 1\cong \angle 2\left\{AlternateInteriorAnglesTheorem\right\}$