1. which theorm explains why the circumcenter is equidistant from the vertices of a triangle? a. vertical angles theorem b. concurrency of perpendicular bisectors theorem c. concurrency of angle bisector theorem d. alternate interior angels theorem 2. if the circumcenter of a triangle lies on the triangle, then what type of triangle is it? a. acute b. right c. obtuse d. equilateral

Part A:

Option B - Concurrency of Perpendicular Bisectors Theorem is the correct answer.

Concurrency of Perpendicular Bisectors Theorem states that the perpendicular bisectors of the sides of a triangle intersect in a point that is equidistant from the vertices.

Part B:

Option B- right triangle is correct.

A right-angled triangle is a triangle which have one right angle. A triangle is acute if the circumcenter lies inside the triangle and it is obtuse if the circumcenter lies outside the triangle and right if the circumcenter lies on the triangle.

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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