Question

13 choose the correct answer.
the____is the intersection of the perpendicular bisectors of a triangle.
circumcenter
centroid
orthocenter
incenter

1. choose the correct answer.

the circumcenter of a(n)____triangle will be in the exterior of the triangle.
obtuse
acute
right
congruent

Explanation:

• For question 13:
• The circumcenter is defined as the intersection of the perpendicular bisectors of a triangle.
• The centroid is the intersection of the medians.
• The orthocenter is the intersection of the altitudes.
• The incenter is the intersection of the angle - bisectors.
• For question 14:
• In an obtuse triangle, the circumcenter lies outside the triangle.
• In an acute triangle, the circumcenter lies inside the triangle.
• In a right - triangle, the circumcenter lies at the mid - point of the hypotenuse (on the triangle).
• Congruent is a property related to the equality of triangles in terms of side lengths and angles, not related to the position of the circumcenter.

Answer:

1. A. circumcenter
2. A. obtuse