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.

Explanation:

Step1: Set compass width

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

Step2: Draw circle centered at A

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

Step3: Draw circle centered at B

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

Step4: Identify intersection point

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 with a straightedge.