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? Justify your answer
Answers
Answer:
PR ║ QS
Step-by-step explanation:
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:
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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