Question

lines & angle pairs study guide
use the diagram below to fill in the table. in the space provided, list a pair of each type of angle with proper notation.

1. vertical angles
2. linear pair
3. alternate interior angles
4. alternate exterior angles
5. consecutive interior angles
6. corresponding angles

use the rectangular prism diagram below to answer questions 7 - 9. write each answer described with the proper notation.

1. name a line segment that is parallel to
2. name a line segment that is perpendicular to cd.

Explanation:

Step1: Recall alternate - interior angles definition

Alternate - interior angles are non - adjacent angles between two parallel lines and on opposite sides of a transversal. In the given diagram, if we assume \(EG\parallel BD\) and \(AH\) is the transversal, \(\angle GFC\) and \(\angle FCB\) are alternate - interior angles.

Step2: Recall alternate - exterior angles definition

Alternate - exterior angles are non - adjacent angles outside two parallel lines and on opposite sides of a transversal. So, \(\angle EFA\) and \(\angle FCD\) are alternate - exterior angles.

Step3: Recall consecutive - interior angles definition

Consecutive - interior angles are non - adjacent angles between two parallel lines and on the same side of a transversal. Thus, \(\angle GFC\) and \(\angle FCA\) are consecutive - interior angles.

Step4: Recall corresponding angles definition

Corresponding angles are in the same relative position with respect to the parallel lines and the transversal. For example, \(\angle EFA\) and \(\angle BCA\) are corresponding angles.

Answer:

1. \(\angle GFC\) and \(\angle FCB\)
2. \(\angle EFA\) and \(\angle FCD\)
3. \(\angle GFC\) and \(\angle FCA\)
4. \(\angle EFA\) and \(\angle BCA\)