Question

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
QS? Are these parallel? Justify your answer.​

Answer 1

Step-by-step explanation:

yes, PR and QS are parallel lines

let AB as a transversal

PR is perpendicular to line AB

angle APR = 90°

QS is perpendicular to line AB

angle PQS = 90°

angle APR = angle PQS

90° = 90°

hence proved PR || QS ( angle APR = angle PQS, corresponding angles are equal)

hope this helps you)

Answer 2

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 transverse and inside the parallel lines, are equal, then the lines are parallelZAPR = 90°

ZBPR = 90°

ZAQS = 90°

ZBQS = 90°

the corresponding angles = equal = 90° => PR & QS are parallel

PR || QS

Step-by-step explanation:

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