Question

19 which of the following conjectures is illustrated by the diagram? a a point that lies on a perpendicular bisector of a line segment is equidistant from the line segments endpoints. b the measure of the exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. c the base angles of an isosceles triangle are congruent. d the sum of the measures of the interior angles of a triangle is 180°

Explanation:

The diagram shows an isosceles triangle (marked with two equal - length sides). In an isosceles triangle, the base angles (the angles opposite the equal sides) are congruent. Option A is about the perpendicular bisector theorem which is not related to the triangle's angles shown. Option B is about the exterior - angle theorem (not shown in the diagram). Option D is a general property of all triangles (not specific to the isosceles triangle's base - angle congruence shown).

Answer:

C. The base angles of an isosceles triangle are congruent.