Question

An angle is created from points C, A, and B with vertex A. An arc is drawn from point A and intersects rays AC and AB. The intersection of the arc and ray AC creates point D. The intersection of the arc and ray AB creates point E. An arc is drawn from point B. The compass is kept the same width and an additional arc is drawn from point E that intersects the arc drawn from point D. David is performing the following construction. Based on the markings that are present, what construction is he performing?
a.Bisecting an angle
b. Bisecting a line segment
c. Copying an angle
d. Copying a line segment

Answer 1

Answer:

Bisecting an angle ⇒ answer a

Step-by-step explanation:

* Lets revise the steps of bisecting an angle

- How to construct a bisector of angle XYZ

1. Open the compass to any width, and place its pin at the angle’s

   vertex Y and draw an arc cuts the two rays of the angle YX and YZ

   at two points M and N respectively

2. Open the compass to another width and place its pin at M and draw

    an arc between the two rays YX and YZ

3. Without changing the width of the compass place its pin at N and

   draw another arc intersects the arc from M at point Q

4. Join YQ which is the bisector of angle XYZ

* Now lets compare these steps by the steps of the question

∵ The vertex of the angle ABC is A represented by Y

∵ The rays of the angle AC and AB represented by YX and YZ

∵ Points D , E represented by points M , N

∴ The construction is " Bisecting an angle "