# Constructing Perpendicular and Parallel Lines Worksheets

A quick reminder on some geometry terms, perpendicular and parallel, perpendicular just means that a line meets up with another at a right (90 °) angle. You can often see this in an image being represented by a little box drawn at the angle. Lines are said to parallel if they are the same distance apart and will never meet. These qualities of lines become super important as we wander off into the world of geometry and the real world for that matter because they indicate that we have located a straight edge of sum kind. This has tremendous applications in everyday life from being able to hang a level picture on the wall to and engineer creating a perfect straight skyscraper. These worksheets and lesson will help students learn how to create their own parallel and perpendicular Lines in a variety of situations.

### Aligned Standard: High School Geometry - HSG-CO.D.12

- Drawing Perpendicular Lines Step-by-step Lesson - Time once again to break out the compass and get to business.
- Guided Lesson - Make two parallels and one perpendicular for us.
- Guided Lesson Explanation - The drawing took up a lot of space this one is nine pages long.
- Practice Worksheet - I'm not sure if I gave you guys enough space to work. If it doesn't work out, please let me know and I'll change it.
- Angles with Parallel Lines 5 Pack - We use a lot of different angle based vocabulary here. Great for an introduction or review; for that matter.
- Matching Worksheet - These are a bit of a dead giveaway on the choices.
- Parallel, Intersecting, and Perpendicular Lines 5 Pack - Name each pair of lines. What do you see?
- Parallel Lines Worksheet Five Pack - You get to see the lines here. Then you answer the questions.
- Parallel and Perpendicular lines Worksheet Five Pack - See what you can tell us about lines.

- Answer Keys - These are for all the unlocked materials above.

### 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?

### 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.

Want to draw a perpendicular? Just 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.