draw a line segment AB = 6 cm. Mark two points P and Q on it. Draw lines perpendicular ro 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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Answers
Step-by-step explanation:
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
The given question is we have to 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 we say about PR and QS? we have to find whether they are parallel, and we have to justify our answer.
The line PR and QS are parallel to each other.
A line segment AB of 6cm is drawn and two points P and Q on the line AB are marked.(fig 1)
Draw a perpendicular line to AB through the points P and Q. (shown in fig 2)
The lines will be PR and QS.
The lines PR and QS intersect a line AB at some point, but they won't intersect each other.
The angle APR, BPR, AQS and BQS are 90°
Hence, these two lines PR and QS are parallel.
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