Question

Name the chord of the circle shown that is not a diameter.
Upper OUpper EUpper RUpper G



A circle has center O and passes through the following points in clockwise order from the left: Upper E, Upper R, Upper G. The following line segments are shown: EOG overbar, ER overbar, RG overbar, RO overbar.
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Question content area right
Part 1
Choose the correct answer below.
A.GO overbar
GO overbar
B.EO overbar
EO overbar
C.RG overbar
RG overbar
D.EG overbar
EG overbar

Answers

GPT-4o mini
In the context of a circle, a chord is defined as a line segment with both endpoints on the circle. A diameter is a special type of chord that passes through the center of the circle.

Given the points E, R, and G, we can analyze the line segments provided:

1. **EOG**: This is a line segment from point E to the center O and is not a chord.
2. **ER**: This is a line segment connecting points E and R, which would be considered a chord.
3. **RG**: This is a line segment connecting points R and G, which would be considered a chord.
4. **RO**: This is a line segment from point R to center O and is also not a chord.

Now, let’s look at the answer choices:

A. \(GO\) - This connects point G to the center O and is not a chord.
B. \(EO\) - This connects point E to the center O and is not a chord.
C. \(RG\) - This connects points R and G and is indeed a chord.
D. \(EG\) - This connects points E and G and is also a chord.

Among these, since the question asks for a chord that is not a diameter, the correct answers would be either \(RG\) or \(EG\) (assuming neither of these passes through the center O).

However, without knowing the specific relationship of these points to the center, the best choice that is clearly a chord and very likely not a diameter due to the other points being apparent is:

**C. \(RG\) overbar** (if the segment does not pass through O) or **D. \(EG\) overbar** (if it doesn't involve the center either).

If I had to suggest a straightforward answer based on likely scenarios, I'd choose:

**D. \(EG\) overbar**.

Please verify visually based on the specific drawing you have.

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