Question

2.) Use only a compass and a straightedge to construct each of the following, if possible:

a. A segment congruent to CB (has segment symbol over it) and an angle congruent to ∠ACB

I was leaning toward it not being possible, would I be headed in the right direction here? (see picture for clarification)

Answer 1

just keep in mind that congruent means the same measure as, so you're being asked to draw a segment with the same measure as AB and and angle the same measure as angle ACB

Answer 2

what is throwing me is because I would read the angle as angle CAB and when I visualize it the way they are asking I don't see that forming the same angle I am looking at. I just need a little clarificiation, I may simply be overthinking this

Answer 3

and then when they say segment CB, i see that as the opening of the angle with no line connecting the two segment points

Answer 4

the angle given in the picture is angle CAB, true, but if you connect points C & B to form segment CB, you will be able to see angle ACB (the middle letter is the vertex of the angle)

Answer 5

Draw a line and use your compass to mark A and B on it. Then use your compass to draw two circles to locate point C. Then you can draw the other ray.

Answer 6

thank you both, i'll work on it

Answer 7

anytime, bmar

Answer 8

This is the best I can do as a hint. Let me know if you need it and I will step you through it.