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

With the compass centered at point A, draw a circle.

Step3: Draw second circle

Without changing the compass width, center the compass at point B and draw a second - circle.

Step4: Identify intersection

The two circles intersect at two points. Select one of the intersection points as point C.

Step5: Connect points

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

Answer:

1. Set compass width to AB.
2. Draw a circle centered at A.
3. Draw a circle centered at B (same width).
4. Select an intersection point as C.
5. Connect A to C and B to C.