Can you Help me with this assignment? ### Geometry Problems on Chords in a Circle#### Problem 1:**Problem Statement:**In circle, chord AB bisects chord DC at E. If AE = 2 and EB = 8, find the length of chord CD.**Diagram Explanation:**The diagram shows a circle with center O. The circle has two chords:- Chord AB, which is vertically aligned and labeled on points A and B.- Chord DC, which is horizontally aligned and labeled on points D and C, intersecting AB at point E.Point E is the midpoint of chord DC due to the given that AB bisects DC at E.Given:- AE = 2- EB = 8Required:- Find the length of chord CD.#### Problem 2:**Problem Statement:**In the diagram below of circle O, chord DF bisects chord BC at E. If BC = 12 and FE is 5 more than DE, then FE is:1) 132) ...(Note: The rest of the problem statements or options are cut off in the image provided.)**Diagram Explanation:**This would be similar to the description above, depicting circle O with chords intersecting and given measurements. Specific details are cut off and are not fully visible for the second problem.### Detailed Analysis:For Problem 1, since chord AB bisects chord DC at E, E is the midpoint of DC, implying DE = EC. To find the length of the chord CD, consider using the properties of intersecting chords which might involve lengths provided or using geometric theorems related to circle properties.For Problem 2, additional details are needed, but it relates to the intersection and bisecting properties of chords within a circle, using given lengths and relationships to find the required measurement.### Additional Resources:- [Properties of Chords in a Circle](#)- [Circle Theorems](#)- [Practice Problems on Geometry](#)Feel free to reach out if you have further questions or need deeper insights into solving these problems!

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Description: Can you Help me with this assignment? ### Geometry Problems on Chords in a Circle#### Problem 1:**Problem Statement:**In circle, chord AB bisects chord DC at E. If AE = 2 and EB = 8, find the length of chord CD.**Diagram Explanation:**The diagram sho

Introduction: The products of the segments of two chords intersecting inside a circle are equal.…

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Can you Help me with this assignment?

### Geometry Problems on Chords in a Circle

#### Problem 1:
**Problem Statement:**
In circle, chord AB bisects chord DC at E. If AE = 2 and EB = 8, find the length of chord CD.

**Diagram Explanation:**
The diagram shows a circle with center O. The circle has two chords:
- Chord AB, which is vertically aligned and labeled on points A and B.
- Chord DC, which is horizontally aligned and labeled on points D and C, intersecting AB at point E.

Point E is the midpoint of chord DC due to the given that AB bisects DC at E.

Given:
- AE = 2
- EB = 8

Required:
- Find the length of chord CD.

#### Problem 2:
**Problem Statement:**
In the diagram below of circle O, chord DF bisects chord BC at E. If BC = 12 and FE is 5 more than DE, then FE is:

1) 13
2) ...

(Note: The rest of the problem statements or options are cut off in the image provided.)

**Diagram Explanation:**
This would be similar to the description above, depicting circle O with chords intersecting and given measurements. Specific details are cut off and are not fully visible for the second problem.

### Detailed Analysis:
For Problem 1, since chord AB bisects chord DC at E, E is the midpoint of DC, implying DE = EC. To find the length of the chord CD, consider using the properties of intersecting chords which might involve lengths provided or using geometric theorems related to circle properties.

For Problem 2, additional details are needed, but it relates to the intersection and bisecting properties of chords within a circle, using given lengths and relationships to find the required measurement.

### Additional Resources:
- [Properties of Chords in a Circle](#)
- [Circle Theorems](#)
- [Practice Problems on Geometry](#)

Feel free to reach out if you have further questions or need deeper insights into solving these problems!

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