Layla is using her compass and straightedge to complete a construction of a polygon inscribed in a circle. Which polygon is she
in the process of constructing?
2 answers:
Answer:
The polygon she is trying to construct is square.
Step-by-step explanation:
<em>Construct: a square inscribed in a circle.</em>
STEPS:
1. Using your compass, draw a circle and label the center O.
2. Using your straightedge, draw a diameter of the circle, labeling the endpoints A and C.
3. Construct the perpendicular bisector of the diameter, AC
4. Label the points where the bisector intersects the circle as B and D.
5. Connect points A to B to C to D to form the square.
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An inscribed circle is tangent to
all 3 sides of the triangle it is inscribed in.
The correct option is the second option
Explanation
A circle is inscribed in the triangle if the triangle's three sides are all tangents to a circle. In this situation, the circle is called an inscribed circle, and its center is called the inner center, or incenter.
Since the triangle's three sides are all tangents to the inscribed circle, the distances from the circle's center to the three sides are all equal to the circle's radius
