Question

select the correct answer. jenna attempted to construct equilateral triangle efg inscribed in circle c. first, she used a compass to draw circle c and labeled its center. next, she used a straightedge to draw a diameter of the circle. she labeled the endpoints of the diameter d and e. then, keeping the compass set equal to the radius of circle c, she drew an arc centered at point e, which intersected the circle at two points that she labeled f and g. finally, she used a straightedge to draw three chords connecting points e, f, and g. what was the first error jenna made in her construction? a. when jenna labeled the diameter, she should have named the endpoints f and g. b. when jenna drew the arc centered at point e, she should have changed the width of the compass to be less than the radius length. c. when jenna drew the arc that intersected circle c, she should have used point d as the center of the arc. d. when jenna labeled f and g, she should have only labeled f and then drawn a second arc centered at point d to find g. e. when jenna drew the arc centered at point e, she should have changed the width of the compass to be greater than the radius length.

Explanation:

Step1: Recall construction steps

To inscribe an equilateral triangle in a circle, after drawing a diameter, when drawing arcs centered at the endpoints of the diameter, the compass width should remain the radius of the circle.

Step2: Analyze Jenna's steps

Jenna drew an arc centered at point E. After drawing a diameter, when drawing arcs from the endpoints of the diameter to find the vertices of the equilateral - triangle, the compass width should be kept as the radius of the circle. But she made a mistake when she drew the arc centered at point E and did not keep the compass width as the radius. She should have changed the width of the compass to be equal to the radius length.

Answer:

B. When Jenna drew the arc centered at point E, she should have changed the width of the compass to be less than the radius length.