Question

1. draw, label, and mark each figure.

a. $ab^{leftrightarrow}parallel cd^{leftrightarrow}$
b. $xy^{leftrightarrow}perp zv^{leftrightarrow}$
c. vertical angles $\angle qaz$ and $\angle rat$
d. linear angles $\angle top$ and $\angle pol$

Explanation:

Step1: Draw parallel rays

Draw two rays $\overrightarrow{AB}$ and $\overrightarrow{CD}$ such that they never intersect, and mark the parallel - symbol $\parallel$ between them to show $\overrightarrow{AB}\parallel\overrightarrow{CD}$.

Step2: Draw perpendicular rays

Draw two rays $\overrightarrow{XY}$ and $\overrightarrow{ZV}$ such that they form a right - angle (90 degrees). Mark the perpendicular symbol $\perp$ between them to show $\overrightarrow{XY}\perp\overrightarrow{ZV}$.

Step3: Draw vertical angles

Draw two intersecting lines. Label the intersection point. Name one pair of vertical angles as $\angle QAZ$ and $\angle RAT$. Vertical angles are opposite each other when two lines intersect.

Step4: Draw linear angles

Draw a straight line. Mark a point $O$ on the line. Draw two rays $\overrightarrow{OT}$ and $\overrightarrow{OL}$ from point $O$ on the same side of the straight line. Name the angles $\angle TOP$ and $\angle POL$. Linear angles are adjacent and supplementary (sum to 180 degrees).

Since this is a drawing task, no single numerical answer can be provided in a traditional sense. The task is to create the appropriate geometric figures as described above.

Answer:

Step1: Draw parallel rays

Draw two rays $\overrightarrow{AB}$ and $\overrightarrow{CD}$ such that they never intersect, and mark the parallel - symbol $\parallel$ between them to show $\overrightarrow{AB}\parallel\overrightarrow{CD}$.

Step2: Draw perpendicular rays

Draw two rays $\overrightarrow{XY}$ and $\overrightarrow{ZV}$ such that they form a right - angle (90 degrees). Mark the perpendicular symbol $\perp$ between them to show $\overrightarrow{XY}\perp\overrightarrow{ZV}$.

Step3: Draw vertical angles

Draw two intersecting lines. Label the intersection point. Name one pair of vertical angles as $\angle QAZ$ and $\angle RAT$. Vertical angles are opposite each other when two lines intersect.

Step4: Draw linear angles

Draw a straight line. Mark a point $O$ on the line. Draw two rays $\overrightarrow{OT}$ and $\overrightarrow{OL}$ from point $O$ on the same side of the straight line. Name the angles $\angle TOP$ and $\angle POL$. Linear angles are adjacent and supplementary (sum to 180 degrees).

Since this is a drawing task, no single numerical answer can be provided in a traditional sense. The task is to create the appropriate geometric figures as described above.