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.) 4. this diagram was created by starting with points c and d and using only straightedge and compass to construct the rest. all steps of the construction are visible. select all the steps needed to produce this diagram. a. construct a circle centered at a. b. construct a circle centered at c. c. construct a circle centered at d. d. label the intersection points of the circles a and b. e. draw the line through points c and d. f. draw the line through points a and b. (from unit 1, lesson 2.)

Explanation:

Step1: Set compass width to AB

Place the compass on point A and extend it to point B.

Step2: Draw circle centered at A

Keeping the compass width as AB, draw a circle with center A.

Step3: Draw circle centered at B

Without changing the compass width, place the compass on point B and draw a circle. The intersection of the two circles is point C.

Step4: Connect points

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

For question 4:

We start with points C and D. To create the given diagram:

Step1: Draw circles centered at C and D

We need to construct a circle centered at C and a circle centered at D (steps B and C).

Step2: Draw line through C and D

We also need to draw the line through points C and D (step E).

Answer:

1. Set compass width to AB. Draw circle centered at A. Draw circle centered at B. Connect A, B, and C with straight - edge.
2. B. Construct a circle centered at C.

C. Construct a circle centered at D.
E. Draw the line through points C and D.