#### starmoonsun101

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- Thread starter starmoonsun101
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Tell meI think the answer is 1 or 4, but I'm not sure.

Math is not about "thinking" in the sense of "feeling", but about genuine thinking, which means reasons. Let's hear them!

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I'm not really sure why I thought 1. But I thought 4 because inscribed angles that intercept the same arc or congruent arcs of a circle are congruent.

(I need help before 9pm, so 3 hours)

Thank you

(I need help before 9pm, so 3 hours)

Thank you

Last edited:

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So, are the arcs intercepted by angles ABC and BCD congruent? If so, then you know.I'm not really sure why I thought 1. But I thought 4 because inscribed angles that intercept the same arc or congruent arcs of a circle are congruent.

(I need help before 9pm, so 3 hours)

Thank you

As for 1, what congruent things are those chords associated with?

You may find it helpful to mark on the picture the given congruent arcs, and then one by one mark (in a different color) the things claimed in each option, so you can compare them. Sometimes you need a chain of relationships to make a conclusion, but for this everything takes a single step.

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I find that it is interesting that of the four possible answers, there is a subset of three in which each one implies the other two. That means that the three are all equivlent.I think the answer is 1 or 4, but I'm not sure.

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I'm not sure if the arcs intercepted by the angles ABC and BCD are congruent?So, are the arcs intercepted by angles ABC and BCD congruent? If so, then you know.

As for 1, what congruent things are those chords associated with?

You may find it helpful to mark on the picture the given congruent arcs, and then one by one mark (in a different color) the things claimed in each option, so you can compare them. Sometimes you need a chain of relationships to make a conclusion, but for this everything takes a single step.

- Joined
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So, are the arcs intercepted by angles ABC and BCD congruent? If so, then you know.

As for 1, what congruent things are those chords associated with?

You may find it helpful to mark on the picture the given congruent arcs, and then one by one mark (in a different color) the things claimed in each option, so you can compare them. Sometimes you need a chain of relationships to make a conclusion, but for this everything takes a single step.

Is the answer 1, because they are corresponding chords to the congruent arcs?

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Is there a theorem to that effect that you have learned?Is the answer 1, because they are corresponding chords to the congruent arcs?

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I believe so.Is there a theorem to that effect that you have learned?

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Does this theorem apply to this circle?Is there a theorem to that effect that you have learned?

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This is the theorem we were given. Does this theorem apply to this circle?Do you know that is or do you just believe that is?

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This is the point of a question like this. They are asking if it isI'm not sure if the arcs intercepted by the angles ABC and BCD are congruent?

So you

As for #1, you've shown a theorem that says,

Do you understand?

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Sorry for the late reply.This is the point of a question like this. They are asking if it isnecessarily true, based on the given fact -- not if itmightbe true, or if youthinkit's true. You correctly state that you're not sure; in fact, just looking at the picture, you clearly have an example in which it is not true. (Just measure the angles.)

So youcan'tsay itistrue.

As for #1, you've shown a theorem that says,ifthe arcs are congruent,thenthe chords are congruent; and you are told that the arcsarecongruent. From this, you can conclude that the chords are congruent. That is aproof. So you can say that youknow#1 is true.

Do you understand?

Yes, I understand. Thank you for the explanation!

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Thank you for the explanation!I can not believe this post. I made up a video showing the solution. It will be removed in a few days unfortunately.

You can view the video here

Also, did you make that video to help me, or was it just a coincidence that we had the same problem?

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Was made for you!Thank you for the explanation!

Also, did you make that video to help me, or was it just a coincidence that we had the same problem?