Cynthia is constructing a circle inscribed in a triangle. She has partially completed the construction, as shown below. What should be her next step in the construction? (Triangle ABC is shown with arc markings on side AB and BC and two intersecting arc markings across from angle B.) A. Connect vertex B to the arc markings to complete the angle bisector. B. Use a straightedge to find the angle bisectors for angles A and B. C. Connect three arc markings together to form the triangle. D. Use the arc markings to determine the radius to construct the circle.

Respuesta :

Answer:

option: A is correct.

Step-by-step explanation:

According to the construction defined in the question we see that we will get geometry as attached to the answer (Figure 1)

Since by connecting the vertex B to the arc markings he is trying to find out the first angle bisector i.e. angle bisector of angle  B and geometry will look like a figure as attached to the answer(figure 2).

Hence, option A is correct.


Ver imagen virtuematane
Ver imagen virtuematane

Connect vertex B to the arc markings to complete the angle bisector, the correct option is A,

What is an angle bisector?

An angle bisector is a straight line drawn from the vertex of a triangle to its opposite side in such a way, that it divides the angle into two equal or congruent angles.

Cynthia Cynthia is constructing a circle inscribed in a triangle. She has partially completed the construction as shown in the picture.

We know that the circle of any triangle has a center as the intersection of two angle bisectors of the triangle.

Hence what she started is drawing the angle bisector of B.  By connecting the vertex to the arc intersection, she can draw the angle bisector of B.

Continuing the same procedure for angle bisector for any other angle A or C she can find a point of intersection as I incentre then draw incircle.

Hence, Connect vertex B to the arc markings to complete the angle bisector.

To know more about angle bisector click the link given below.

https://brainly.com/question/1597660

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