Amy is using a drawing program to complete a construction with which she is almost finished. Which construction is she completin
g?
Two intersecting circles are drawn with a radius in each marked. the image will be linked
An equilateral triangle inscribed in a circle
A square inscribed in a circle
A regular pentagon inscribed in a circle
A regular hexagon inscribed in a circle
Two intersecting circles are drawn with a radius in each marked. the image will be linked
An equilateral triangle inscribed in a circle
A square inscribed in a circle
A regular pentagon inscribed in a circle
A regular hexagon inscribed in a circle
1 answer:
Given options : Two intersecting circles are drawn with a radius in each marked. the image will be linked.
Given options : An equilateral triangle inscribed in a circle
A square inscribed in a circle
A regular pentagon inscribed in a circle
A regular hexagon inscribed in a circle.
<u>Note. When we join an intersection point of two circles and centers of the circles it would form an equilateral triangle that would be inscribe inside a common portion of both circles..</u>
Therefore, an equilateral triangle inscribed in a circle would be correct option.
She is completing an equilateral triangle inscribed in a circle.
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<h3>Answer: 37 degrees</h3>
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Explanation:
Refer to the diagram below. I've marked angles FBD and ECG in red. We can see that they are alternate exterior angles because they are
Outside (aka exterior) of the parallel lines
On alternating sides of the transversal cut
Because JD is parallel to EK, this means the alternate exterior angles are congruent. Therefore, angle ECG is also 37 degrees.
Ignore angle ABG and ignore line AH. In my opinion, this is filler added as a distraction.
<em>Coplanar</em> means "lying on the same plane," while <em>colinear </em>means "lying on the same line." In this problem, all four points A, B, C, and D are coplanar - they all lie on the plane - so we just need to find the points that lie on the same line. Though points C and B <em>would </em>be colinear if there was a line drawn between them, there's no such line in this problem, so we can rule that out. We notice one line drawn on the plane, and points A, C, and D lying on it, so we can say that points A, C, and D are both coplanar and colinear.