Step 1

Draw a line segment on your paper using a straightedge. Label the endpoints A and B.

Step 2

Draw a point not on line AB, and label that point R.

Step 3

Place the compass point on R, then set the width of the compass to be greater than the distance from R to the line. Then draw an arc that intersects line ABtwice. Label the intersections P and Q.

Step 4

Keep the compass setting and place the point of the compass at point P and draw an arc that passes through point R and goes below line AB.

Step 5

Keep the compass setting and place the point of the compass at point Q and draw an arc that passes through point R and intersects the arc drawn in the previous step. This should construct a point below line AB. Label this point T.

Step 6

Using a straightedge, draw a line segment through the points R and T. This line, RT, should be perpendicular toABand go through point R.

Step 7

Label the intersection of RTand ABas point V.

Check your work by using a protractor to verify that mRVA=90and mRVB=90.

Step 8

Scan or take a photo of your final construction and save this file. You will upload this file in the next activity in this lesson.