### Geometric Construction Illustration#### Diagram Explanation:The diagram shows a geometric construction involving two intersecting arcs and a pair of arrows indicating directions. Here is a detailed description:- Two rays (lines with arrows at one end) originate from a common point, forming an angle.- Two arcs, which intersect each other, are centered on each ray, respectively. - One arc extends from the common vertex and passes across the space between the rays.- Another arc intersects the first arc at a point between the rays away from the common vertex.#### Question:*Which of the following constructions is illustrated?*1. ○ The bisector of a given angle2. ○ The bisector of a given segment3. ○ The perpendicular bisector of a given segment4. ○ An angle congruent to a given angleThe correct answer is likely to be "The bisector of a given angle," considering the way the arcs intersect and originate from the rays forming the initial angle.This construction typically signifies the steps to find the midpoint of an angle using a compass and straightedge method.

Answered: Image /qna-images/answer/c3821829-e66f-4137-8a54-fe40ce5b2ad6.jpg

Which of the following constructions is illustrated? o The bisector of a given angle o The bisector of a given segment o The perpendicular bisector of a given segment o An angle congruent to a given angle

Which of the following constructions is illustrated? o The bisector of a given angle o The bisector of a given segment o The perpendicular bisector of a given segment o An angle congruent to a given angle

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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Concept explainers

Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.

Question

### Geometric Construction Illustration

#### Diagram Explanation:
The diagram shows a geometric construction involving two intersecting arcs and a pair of arrows indicating directions. Here is a detailed description:

- Two rays (lines with arrows at one end) originate from a common point, forming an angle.
- Two arcs, which intersect each other, are centered on each ray, respectively.
- One arc extends from the common vertex and passes across the space between the rays.
- Another arc intersects the first arc at a point between the rays away from the common vertex.

#### Question:
*Which of the following constructions is illustrated?*

1. ○ The bisector of a given angle
2. ○ The bisector of a given segment
3. ○ The perpendicular bisector of a given segment
4. ○ An angle congruent to a given angle

The correct answer is likely to be "The bisector of a given angle," considering the way the arcs intersect and originate from the rays forming the initial angle.

This construction typically signifies the steps to find the midpoint of an angle using a compass and straightedge method.

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