Question

parallel lines, transversals, and angles unit 3 skills check use the diagram below for #1 - 3. 1. name a plane parallel to plane cij. 2. name a segment parallel to bc. 3. which segment is not skew to ek? a. fa b. lg c. ci d. ab use the diagram below for #4 - 9. for questions 4 - 8, place the letter of the angle relationship that best represents the given angle pair in the box. 4. ∠9 and ∠16 5. ∠3 and ∠5 6. ∠7 and ∠15 7. ∠1 and ∠10 8. ∠2 and ∠11 9. name the transversal that connects ∠6 and ∠13. a. corresponding angles b. alternate interior angles c. alternate exterior angles d. consecutive interior angles

Explanation:

Step1: Recall parallel - plane concept

In a 3 - D figure, planes that do not intersect are parallel. Plane $EFA$ is parallel to plane $CIJ$.

Step2: Recall parallel - segment concept

Segments that lie in parallel lines or the same line and do not intersect are parallel. Segment $FG$ is parallel to $\overline{BC}$.

Step3: Recall skew - line concept

Skew lines are non - parallel and non - intersecting lines in 3 - D space. $\overline{AB}$ and $\overline{EK}$ are in the same plane (the front - left face of the prism), so $\overline{AB}$ is not skew to $\overline{EK}$.

Step4: Analyze angle pairs

For $\angle9$ and $\angle16$, they are alternate exterior angles. For $\angle3$ and $\angle5$, they are consecutive interior angles. For $\angle7$ and $\angle15$, they are corresponding angles. For $\angle1$ and $\angle10$, there is no relationship. For $\angle2$ and $\angle11$, they are alternate interior angles.

Step5: Identify transversal

The transversal that connects $\angle6$ and $\angle13$ is line $s$.

Answer:

1. Plane $EFA$
2. $\overline{FG}$
3. D. $\overline{AB}$
4. B. Alternate Exterior Angles
5. D. Consecutive Interior Angles
6. A. Corresponding Angles
7. E. No relationship
8. B. Alternate Interior Angles
9. Line $s$