CHANGE INTO TWO COLUMN PROOF
Measure of the central angle COD = 48°
Therefore, measure of arc AB = 48°
Since, segment AC is a diameter and central angle for a diameter is 180°.
Measure of major arc ABC = 180°
measure of arc AB + measure of arc BC = 180°
48° + measure of arc BC = 180°
Measure of arc BC = 180° - 48°
= 132°

Question

CHANGE INTO TWO COLUMN PROOF
Measure of the central angle COD = 48°
Therefore, measure of arc AB = 48°
Since, segment AC is a diameter and central angle for a diameter is 180°.
Measure of major arc ABC = 180°
measure of arc AB + measure of arc BC = 180°
48° + measure of arc BC = 180°
Measure of arc BC = 180° - 48°
                                = 132°

happypotato · Answer

@jhonyy9

Vocaloid · Answer

This is a little hard to do without seeing the original problem

But basically, for a two-column proof, you put statements in the left column, and reasons in the right column.

so for the first sentence, "Measure of the central angle COD = 48°" put this in the statement column. Then, put the matching reason in the reasons column. Usually, the first statement is already given in the problem, so you would put "given" as the reason.

Repeat this logic for the other statements.

happypotato · Answer

Awesome! Would you like me to upload the original problem?

Vocaloid · Answer

Sure

happypotato · Answer

okay hold on a minute!

happypotato · Answer

attachment

Vocaloid · Answer

Ok, so we already stated that <COD = 48 degrees is given

Next statement: arc AB is 48 degrees.

The reason(s): <BOA and <COD are vertical angles, so <BOA = <COD = 48 degrees. <BOA is the central angle that intercepts arc AB, so AB is also 48 degrees.

I hope that gives you a better idea of how to fill out the statement/reason table.

happypotato · Answer

Awesome! Is there any other information that goes along with this question? Like any more statements and reasons?

happypotato · Answer

@vocaloid

Vocaloid · Answer

You need to look at the original problem and go through the statements one by one and determine what the reasons for them are.

happypotato · Answer

i see! Could you maybe give me another example

Vocaloid · Answer

From the original problem: "Since, segment AC is a diameter and central angle for a diameter is 180°.
Measure of major arc ABC = 180°"

The statement is that major ARC ABC is 180 degrees and the reason is that AC is a diameter and the central angle for a diameter is 180

Remember, the statements are the facts and the reasons explain why the statements are true

happypotato · Answer

Awesome! I'll try my best to figure the rest out. Thank you so much!

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