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Question

Emma is using a straightedge and compass to do the construction shown.


Which best describes the construction Emma is doing?

A
a line through P parallel to line l
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B
a line through P intersecting line l
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C
a line through P perpendicular to line l
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D
None of the above
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Solution

The correct option is A a line through P parallel to line l
Steps to draw a line through O parallel to line AB––––––––––––––––––––––––––––––––––––––––––––––––––––
  1. Draw a transverse line through point O across line AB, at any angle
  2. Draw an arcfrom the intersectionpoint of line AB and the transversal
  3. Using the same radius, draw an arc at point O
  4. Measure the distance between the points where the arc intersects line AB and the transversal
  5. With the same length, draw an arc, centered at the intersection point of the earlier arc and ray
  6. Draw a line through O and the intersection point of the two arcs.
Hence, the diagram in question, describes a line through P parallel to line l

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