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Erik is bisecting a segment with technology. Which of the following describes his next step?
ODrawa circle with a center C and a radius equal to CB.
O Draw the point of intersection between circle B and segment AB.
O Draw a circle with the center A and a radius equal to CB.
O Draw point E and create a ray from point B through point E

Erik is bisecting a segment with technology Which of the following describes his next step ODrawa circle with a center C and a radius equal to CB O Draw the poi class=

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Answer: Choice (3). Draw a circle with center A and radius equal to CB.

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Explanation:

Your teacher wasn't clear with this, but I'm assuming the distance from B to C is greater than half of AB. Otherwise, the bisection wouldn't be possible.

Assuming this is the case, drawing a circle centered at A with the same radius, will allow us to intersect the two circles at points D and E as shown below. Segment DE is the perpendicular bisector of AB. We can prove this through the use of congruent triangles. Segment DE cuts AB into two smaller equal pieces FA and FB, so FA = FB.

Ver imagen jimthompson5910

During construction, a circle can be represented by an arc having the radius of the circle

Erik's next step is the option;

Draw a circle with the center A and radius equal to CB

The reason the above option is correct is as follows:

From the given diagram, we have;

The segment in the diagram = Segment AB

The radius of the circle with center at B = CB

The required parameter;

Erik's next step

Method:

The steps for constructing an angle bisector is to be outlined

The steps to construct a segment bisector are;

  • Place the compass at one end of the segment and draw a circle with radius R larger than half the length of the segment
  • Place the compass at the second end of the segment and with the same radius R, draw a second circle that intersects the first circle at two points, above and below the line
  • Draw a line connecting the point of intersection of the two circles to form the perpendicular bisector of the segment

Therefore, Erik's next step is to draw a second circle from the other end of the segment AB which is point A, with the same radius of the first circle CB

The correct option is; Draw a circle with the center A and radius equal to CB

Learn more about the steps to construct a segment bisector here:

https://brainly.com/question/12923440

https://brainly.com/question/2485485

Ver imagen oeerivona

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