Question

exit ticket
describe each construction
descríben la construcción.
1)
2)

Explanation:

1. For the first figure, since the circle is tangent to all three sides of the triangle, it is an inscribed circle. An inscribed circle (incircle) of a triangle is a circle that is tangent to each side of the triangle. The center of the inscribed circle (in - center) is the intersection of the angle bisectors of the triangle.
2. For the second figure, since the circle passes through all three vertices of the triangle, it is a circumscribed circle. A circumscribed circle (circum - circle) of a triangle is a circle that passes through all three vertices of the triangle. The center of the circumscribed circle (circum - center) is the intersection of the perpendicular bisectors of the sides of the triangle.

Answer:

1. Inscribed circle
2. Circumscribed circle