Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

13. what is the relationship of lines ab and cd to each other? a. paral…

Question

  1. what is the relationship of lines ab and cd to each other? a. parallel lines b. perpendicular lines c. intersecting lines d. right lines 14. what is the relationship of lines $overline{ac}$ and $overline{bd}$ to each other? a. parallel lines b. perpendicular lines c. horizontal lines d. vertical lines 15. which of these statements is true of perpendicular lines? a. they are always parallel. b. they never intersect. c. they intersect only once. d. they have multiple midpoints. 16. the map shows the neighborhood where tommy and veronica live. if their houses are on parallel streets, which of the following must be true? a. eldridge rd and granville rd. b. western ave and eldridge rd. c. first street and granville rd. d. main street and first street.

Explanation:

Step1: Analyze question 13

Parallel lines never intersect and have the same slope. Lines AB and CD in question 13 never intersect, so they are parallel.

Step2: Analyze question 14

Perpendicular lines intersect at a 90 - degree angle. Lines $\overline{AC}$ and $\overline{BD}$ in question 14 intersect at a 90 - degree angle, so they are perpendicular.

Step3: Analyze question 15

Perpendicular lines intersect at exactly one point. They are not parallel, they do intersect, and a line segment has only one mid - point. So the fact that they intersect only once is true.

Answer:

  1. A. Parallel lines
  2. B. Perpendicular lines
  3. C. They intersect only once.