Perpendicular Lines

Perpendicular Lines

1. What is the definition of a perpendicular line? 2. Given line AB, construct a perpendicular line at point C using a tool(s) provided by GeoGebra. 3. Verify that the line you created is truly perpendicular by measuring the angle it makes with line AB. It should be ______°. Place two points on the line you created (one on either side of AB) and measure two of the four angles. 4. What happens if you use the cursor to move any of the points or lines of the figure? Will the angles change to another degree measure? If so, record what you could change the angles measures to. 5. Now we need to construct our own perpendicular line without GeoGebra's fancy tools. a. First place a point (D) on one side of line AB. Do NOT place the point on line AB. b. Draw a circle with center D and create it so that it intersects line AB at two points! Points E and F would be good for them to be labeled. c. With the circle tool ("circle with center and radius"), construct two circles with center E and F of the same radius - make sure you make the radius large enough for them to intersect. d. Where the two new circles (with centers E and F) intersect, place a point and draw a line to the original point you created. e. Confirm that the perpendicular line you drew creates a right angle.