Question

Select the correct answer.

Chase is constructing equilateral triangle EFG inscribed in a circle.

He begins by using a compass to draw circle X. He then uses a straightedge to draw a diameter of the circle and labels the endpoints D and E.

How can Chase find points F and G?

A.
Points F and G are endpoints of a chord that is perpendicular to and bisects DE.
B.
Points F and G are the points where circle X intersects a congruent circle centered at D.
C.
Points F and G are the points where circle X intersects a congruent circle centered at E.
D.
Points F and G are points of intersection of two congruent circles centered at D and E

Answer 1

Answer: A

Step-by-step explanation:

Answer 2

To construct equilateral triangle in a circle F and G as D. Points F and G are points of intersection of two congruent circles centered at D and E. The correct answer is option A.

What is a circumscribed circle?

The circumscribed circle or circumcircle of a polygon in geometry is a circle that passes through each of the polygon's vertices. This circle's circumcenter and circumradius are its center and radius, respectively.

It should be noted that an equilateral triangle simply means a triangle that has all the sides and angles to be equal.

After drawing the diameter of the circle through the center, it's important to open the compass to a width that's equivalent to the radius of the circle.

In this case, it can be deduced that Points F and G are points of intersection of two congruent circles centered at D and E.

Learn more about triangles on:

brainly.com/question/17335144

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