Question

do you know how? name one pair each of the segments, planes, or angles. lines and planes that appear to be parallel are parallel. 1. parallel segments 2. skew segments 3. parallel planes 4. alternate interior 5. same - side interior 6. corresponding 7. alternate exterior exercises 1 - 3 exercises 4 - 7

Explanation:

Step1: Identify parallel segments

Parallel segments are segments that lie in the same plane and do not intersect. In the rectangular - prism, segment $AB$ and segment $DC$ are parallel as they are opposite sides of a rectangle face.

Step2: Identify skew segments

Skew segments are non - parallel and non - intersecting segments that do not lie in the same plane. Segment $AB$ and segment $EH$ are skew. They are not in the same plane, not parallel, and do not intersect.

Step3: Identify parallel planes

Parallel planes are planes that do not intersect. Plane $ABFE$ and plane $DCGH$ are parallel planes in the rectangular - prism.

Step4: Identify alternate interior angles

For the intersecting lines in Exercises 4 - 7, angles $\angle3$ and $\angle6$ are alternate interior angles. They are between the two lines and on opposite sides of the transversal.

Step5: Identify same - side interior angles

Angles $\angle3$ and $\angle5$ are same - side interior angles. They are between the two lines and on the same side of the transversal.

Step6: Identify corresponding angles

Angles $\angle1$ and $\angle5$ are corresponding angles. They are in the same relative position with respect to the two lines and the transversal.

Step7: Identify alternate exterior angles

Angles $\angle1$ and $\angle8$ are alternate exterior angles. They are outside the two lines and on opposite sides of the transversal.

Answer:

1. $AB$ and $DC$
2. $AB$ and $EH$
3. Plane $ABFE$ and plane $DCGH$
4. $\angle3$ and $\angle6$
5. $\angle3$ and $\angle5$
6. $\angle1$ and $\angle5$
7. $\angle1$ and $\angle8$