Google Classroom
GeoGebraGeoGebra Classroom

Constructing Parallel and Perpendicular Lines

Constructing a Perpendicular Line to a Given Line Through a Point on the Line

1. Place a point (D) between points A and C 2. Use the compass tool to measure the distance between D and C and draw a circle with center C 3. Use the intersection tool (option under the point A icon) to label the intersection of the circle with line AB (point E) 4. Place a point (F) between points C and E 5. Use the compass tool to measure the distance between D and F and draw a circle with center D. Repeat to draw a circle with center E 6. Mark the intersection points of the circle above and below point C (points G and H) 7. Draw a line between G and H. This line is perpendicular to AB! 8. Take screen shots of your work

Constructing a Perpendicular Line to a Given Line Through a Point on the Line

Your Turn:

Now it is your turn. Complete each construction below. Apply what you learned in the construction above and what you know about performing these constructions with a straightedge and compass to complete them. Take screen shots of your work! Hint: For both constructions you will need to place an additional point on line AB in order to construct a circle to start.

Constructing a Perpendicular Line to a Given Line and a Given Point Not on the Line

Constructing Parallel Lines