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. (from unit 1, lesson 2.)

Explanation:

Step1: Draw segment AB

Use straight - edge to draw a line segment connecting points A and B.

Step2: Set compass radius

Set the compass width to the length of segment AB.

Step3: Draw circle centered at A

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

Step4: Draw circle centered at B

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

Step5: Locate point C

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

Step6: Connect points

Use the straight - edge to draw line segments AC and BC.

Answer:

1. Use straight - edge to draw segment AB.
2. Set compass width to length of AB.
3. Draw circle centered at A.
4. Draw circle centered at B (same radius).
5. Select an intersection point of the two circles as C.
6. Use straight - edge to draw AC and BC.