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.
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Answer 1

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 they parallel

Yes The Lines are parallel

Two Lines are Parallel if theie slopes are equal

Let say Line AB has Slope = m

PR ⊥ AB  

and Two line are perpendicular if thir slope multiplcation is -1

=> Slope of PR  = -1/m

Similarly

QS ⊥ AB

=> Slope of QS  = -1/m

=> SLope of PR = SLope of QS

=> PR ║ QS

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 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

Step-by-step explanation:

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