Question

1. starting with 2 marked points, a and b, precisely describe the straightedge and compass moves required to construct the triangle abc in this diagram. in other words, describe the steps you would take in geogebra to construct this. (from unit 1, lesson 2.)

Explanation:

Step1: Set compass radius

Set the compass width to the distance between points A and B.

Step2: Draw first circle

Place the compass on point A and draw a circle.

Step3: Draw second circle

Place the compass on point B and draw a circle with the same radius. The two circles will intersect at two points. Let one of the intersection - points be C.

Step4: Connect points

Use the straightedge to draw line - segments AC and BC.

Answer:

1. Set compass width to distance AB.
2. Draw circle centered at A.
3. Draw circle centered at B (same radius).
4. Connect A to intersection point C and B to C.