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Making Perpendicular and Parallel Lines

HSG-CO.D.12
Answer Keys Here

Aligned To Common Core Standard:

High School Congruence - HSG-CO.D.12

How to draw a Perpendicular or Parallel to a Given Line - Do these parallel and perpendicular lines confuse you? If yes, then drawing a parallel or perpendicular along a tangent line might also be intimidating for you. A parallel line is one which is at an equal distance from all the points and would not touch/meet any point. The perfect example of two parallel lines is a railway track. To draw a parallel, follow these steps: Draw a line and locate a point. Now draw an arc that intersects at the given line at two different points, draw another arc opposite the same given point. Keeping the compass at the same width, draw another small arc intersecting the previous one. Now join the given points and the intersection of the new small arcs. Now draw an arc that intersects the perpendicular line at two different points. Repeat the same at the opposite point. Draw a line connecting the given point to this new point How to draw a perpendicular, take the following steps: Place your compass point on any point on a paper and swing an arc of any size. Try to draw a semi-circle. Stretch the compass out and place it where the arc crossed the line and draw a small arc above the line. Without changing the width, place the compass point where the first arc crossed the line on the OTHER side and make another arc. Make sure that the two small arcs intersect with each other. Connect the intersection of the two small arcs to point P. These worksheets and lesson will help students learn how to create their own parallel and perpendicular Lines in a variety of situations.

Printable Worksheets And Lessons




Homework Sheets

It is all in the drawing and not much else here.

  • Homework 1 - Place the compass point on the point and set it to a width that is about 2/3 of the remaining line.
  • Homework 2 - Set the compass to a distance that is about half the length of line CD. Place the point of the compass on point D, and draw an arc through the lines.
  • Homework 3 - Repeat this same procedure for point K. You will create two arcs that cross each other, forming point M.



Practice Worksheets

We continue on with the skill and have a good time doing it.

  • Practice 1 - Draw a perpendicular line to point E.
  • Practice 2 - Draw a parallel line to line LM. Start the line with point O.
  • Practice 3 - Without changing the compass width, mark a short arc on the line at each side of the point P. Label the points you have created. Here we name them points A and B. Both points are an equal distance from P.



Math Skill Quizzes

This skill is really starting to pop up on assessments. Might have something to do with the $1.5 million education budget for rulers.

  • Quiz 1 - Find the slope of a line parallel to a line whose slope is (3/5).
  • Quiz 2 - Name a pair of alternate exterior angles.
  • Quiz 3 - Which of the following are the lines: a)Parallel b) None of the above c) Perpendicular d) Intersecting?