Question

section 3.1
i can identify parallel and perpendicular lines and pairs of angles.
use the figure below to answer #1 - 6.

1. name a pair of parallel lines.
2. name a pair of perpendicular lines.
3. name all of the corresponding angles (use the #s).
4. name all of the alternate interior angles (use the #s).
5. name all of the alternate exterior angles (use the #s).
6. name all of the consecutive interior angles (use the #s).

Explanation:

Step1: Identify parallel lines

Parallel lines are lines that never intersect. In the figure, $\overleftrightarrow{ZW}$ and $\overleftrightarrow{TU}$ are parallel.

Step2: Identify perpendicular lines

Perpendicular lines intersect at a right - angle. Here, $\overleftrightarrow{XU}$ and $\overleftrightarrow{ZW}$ (or $\overleftrightarrow{XU}$ and $\overleftrightarrow{TU}$) are perpendicular as indicated by the right - angle symbol.

Step3: Identify corresponding angles

Corresponding angles are in the same relative position. Corresponding angles are: $\angle6$ and $\angle7$, $\angle10$ and $\angle9$, $\angle11$ and $\angle5$, $\angle8$ and $\angle7$.

Step4: Identify alternate interior angles

Alternate interior angles are between the parallel lines and on opposite sides of the transversal. Alternate interior angles are: $\angle11$ and $\angle7$, $\angle8$ and $\angle5$.

Step5: Identify alternate exterior angles

Alternate exterior angles are outside the parallel lines and on opposite sides of the transversal. Alternate exterior angles are: $\angle6$ and $\angle9$, $\angle10$ and $\angle5$.

Step6: Identify consecutive interior angles

Consecutive interior angles are between the parallel lines and on the same side of the transversal. Consecutive interior angles are: $\angle11$ and $\angle5$, $\angle8$ and $\angle7$.

Answer:

1. $\overleftrightarrow{ZW}$ and $\overleftrightarrow{TU}$
2. $\overleftrightarrow{XU}$ and $\overleftrightarrow{ZW}$ (or $\overleftrightarrow{XU}$ and $\overleftrightarrow{TU}$)
3. $\angle6$ and $\angle7$, $\angle10$ and $\angle9$, $\angle11$ and $\angle5$, $\angle8$ and $\angle7$
4. $\angle11$ and $\angle7$, $\angle8$ and $\angle5$
5. $\angle6$ and $\angle9$, $\angle10$ and $\angle5$
6. $\angle11$ and $\angle5$, $\angle8$ and $\angle7$