Determine whether each statement is sometimes, always, or never true. Justify your reasoning using a counterexample or proof. The angle bisectors of a triangle intersect at a point that is equidistant from the vertices of the triangle.

Determine whether each statement is always, sometimes, or never true.

$$\underset{ TQ } \leftrightarrow \underset{ and }\ \underset{ QT } \leftrightarrow$$

are the same line.

Determine whether the following statement is always, sometimes, or never true. Explain your reasoning. Equilateral triangles are congruent.

Determine whether each statement is always, sometimes, or never true. Explain your reasoning. The geometric mean for consecutive positive integers is the mean of the two numbers.

Determine whether each statement is sometimes, always, or never true. If it is sometimes true, give one example that makes the statement true and one example that makes it false. If it is always true, explain. If it is never true, rewrite the statement so that it is always true.

Determine whether each statement if always, sometimes, or never true. Explain. Points X and Y are in plane z. Any point collinear with X and Y is in plane Z.

State whether each sentence is always, sometimes, or never true. Justify your reasoning.

The three angle bisectors of a triangle intersect at a point in the exterior of the triangle.

Tell whether each statement is sometimes, always, or never true. Support your answer with a sketch. If two planes intersect, they intersect in a straight line.

Determine whether each statement is sometimes, always, or never true. Justify your answer: a. It is possible for a triangle to have two right angles. b. It is possible for a triangle to have two obtuse angles.

Tell whether the statement with always, sometimes, or never true. Explain your reasoning. The composition of two reflections results in the same image as a rotation. Explain your reasoning.

Determine whether each statement ts always, sometimes, or never true. ---> ---> LJ and TJ are opposite rays.

Complete the statement with always, sometimes, or never. Explain your reasoning. If the perpendicular bisector of one side of a triangle intersects the opposite vertex, then the triangle is _ isosceles.

Completer the statement with always, sometimes, or never. Explain your reasoning. The perpendicular bisectors of a triangle intersect at a point that is _ equidistant from the midpoints of the sides of the triangle.

Determine whether each statement is sometimes, always, or never true. Justify your answer.

A pyramid is similar to a cone.