Question

For the following example, a, b, c, and d are distinct lines in the same plane. Draw a diagram of the relationship given below. Then tell how a and d relate. Justify your answer.

al|b, b||c, c||d
Draw a diagram of the relationships. Choose the correct figure below.

Answer 1

C

Explanation:

Its C because i just know ;)

Answer 2

Explanation:

Based on the given information, the relationship between the lines can be represented by diagram C:

a

↓

d ←

In diagram C, line a is shown as a separate line from line d. The arrow pointing from line a to line d indicates that line a intersects with line d at a single point. This means that line a and line d are not parallel to each other.

To justify this answer, we can refer to the given relationships:

1. alb: This relationship states that line a intersects with line b. Since line a intersects with line b, it cannot be parallel to it.

2. b||c: This relationship states that line b is parallel to line c. This means that line b and line c do not intersect.

3. c||d: This relationship states that line c is parallel to line d. Similarly, this means that line c and line d do not intersect.

Based on these relationships, we can conclude that line a intersects line d, making them non-parallel. Therefore, diagram C accurately represents the relationship between lines a and d.