Select all the statements that must be true.A. LO=MOB. PN=LOC. LN=OND. PL=POE. NM=LO The image features a geometric diagram involving two intersecting circles and multiple points labeled on the diagram. Here's a detailed explanation:1. **Circles**: There are two overlapping circles with their centers indicated by black points. The left circle is centered around the point where lines intersect, and the right circle is off to the side.2. **Intersection Points**: - **P**: The point where the two circles intersect at the top. - **L, M, N, and O**: Points situated on the horizontal line passing through the circles. - **L** is on the outer arc of the left circle. - **M** is on the outer arc of the right circle. - **N**: Located between points L and O on the horizontal line. - **O**: Positioned on the shared horizontal diameter connecting both circles.3. **Lines**: - **Horizontal Line**: Passes through points L, M, N, and O, intersecting both circles. - **Vertical Line**: Passes through points P, N, and the center of the bottom circle, intersecting both circles.This geometric configuration can be used for studying circle theorems, properties of intersecting circles, or loci problems. Each point's specific location can help in solving distance or radius-related problems.

In this figure there are three different diameters of circles are drawn. In the smaller circle : LN…

Answered: Select all the statements that must be…

Math

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Select all the statements that must be true. A. LO=MO B. PN=LO C. LN=ON D. PL=PO E. NM=LO

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

Select all the statements that must be true.

A. LO=MO

B. PN=LO

C. LN=ON

D. PL=PO

E. NM=LO

The image features a geometric diagram involving two intersecting circles and multiple points labeled on the diagram. Here's a detailed explanation:

1. **Circles**: There are two overlapping circles with their centers indicated by black points. The left circle is centered around the point where lines intersect, and the right circle is off to the side.

2. **Intersection Points**:
- **P**: The point where the two circles intersect at the top.
- **L, M, N, and O**: Points situated on the horizontal line passing through the circles.
- **L** is on the outer arc of the left circle.
- **M** is on the outer arc of the right circle.
- **N**: Located between points L and O on the horizontal line.
- **O**: Positioned on the shared horizontal diameter connecting both circles.

3. **Lines**:
- **Horizontal Line**: Passes through points L, M, N, and O, intersecting both circles.
- **Vertical Line**: Passes through points P, N, and the center of the bottom circle, intersecting both circles.

This geometric configuration can be used for studying circle theorems, properties of intersecting circles, or loci problems. Each point's specific location can help in solving distance or radius-related problems.

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