Question

Select all the true statements about two parallel lines cut by a transversal. The transversal makes 4 angles with the top line. Angles 1 and 2 are above the line and angles 3 and 4 are between the lines. The transversal also makes 4 angles with the bottom line. Angles 5 and 6 are between the lines and angles 7 and 8 are below the bottom line. Between the lines, angles 3 and 6 are on opposite sides of the transversal and angles 4 and 5 are on opposite sides of the transversal.

1) Angle 1 is above the line
2) Angle 3 is between the lines
3) Angle 5 is between the lines
4) Angle 7 is below the bottom line

Answer 1

All the statements provided in the question are true. The descriptions given for each of the four angles match the typical characteristics of angles formed when a transversal cuts two parallel lines.

Step-by-step explanation:

When two parallel lines are cut by a transversal, several angles are formed. For this question, we're focusing on angles made where the transversal intersects the two parallel lines. Let's confirm the true statements one by one based on your description.

• Angle 1 is above the top line (True) - As Angle 1 is made with the transversal and the top line, and since you mentioned it is one of the angles above the line.
• Angle 3 is between the lines (True) - This follows from your description that Angles 3 and 4 are between the two parallel lines on the top side of the transversal.
• Angle 5 is between the lines (True) - Angles 5 and 6 are described as being between the lines on the bottom side of the transversal.
• Angle 7 is below the bottom line (True) - Since Angles 7 and 8 are the angles below the bottom line, formed with the transversal, this is true as well.

Therefore, all four statements provided in the question are true:

1. Angle 1 is above the line.
2. Angle 3 is between the lines.
3. Angle 5 is between the lines.
4. Angle 7 is below the bottom line.