Question

3.
Draw a line segment AB = 6 cm. Mark two points P and Q on it. Draw lines
perpendicular to AB through P and Q (PR and QS). What can you say about PR and
QS? Are these parallel? Justify your answer.
​

Answer 1

Answer:

PR ║ QS

Step-by-step explanation:

if the corresponding angles, the angles that are on the same corner at each intersection, are equal, then the lines are parallel. The second is if the alternate interior angles, the angles that are on opposite sides of the transversel and inside the parallel lines, are equal, then the lines are parallel

∠APR = 90°

∠BPR = 90°

∠AQS = 90°

∠BQS = 90°

the corresponding angles = equal = 90°

=> PR & QS are parallel

PR ║ QS