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: Open compass to length AB

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

Step2: Draw arc from A

Place the compass - point at A and draw an arc.

Step3: Draw arc from B

Without changing the compass width, place the compass - point at B and draw an arc that intersects the previous arc at point C.

Step4: Connect points

Use a straight - edge to connect points A, C and B, C to form triangle ABC.

Answer:

1. Open the compass to the length of the line segment AB.
2. Place the compass point at A and draw an arc.
3. Without changing the compass width, place the compass point at B and draw an arc that intersects the arc drawn from A at point C.
4. Use a straight - edge to draw line segments AC and BC to complete triangle ABC.