Determine whether each statement is always, sometimes, or never true. Explain. Points A, B, and C determine a plane

Determine whether each statement is always, sometimes, or never true. Two parallel lines are coplanar.

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.

Use the following statement and the definitions and postulates you know to answer each question. Two planes are perpendicular if and only if one plane contains a line perpendicular to the second plane. a. Through a given point, there passes one and only one plane perpendicular to a given line. If plane Q is perpendicular to line l at point X and line l lies in plane P, what must also be true? b. Through a given point, there passes one and only one line perpendicular to a given plane. If plane Q is perpendicular to plane P at point X and line a lies in plane Q, what must also be true?

Determine whether the statement is always, sometimes, or never true. Explain your reasoning. The intersection of three planes is a line.

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

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

are the same line.

Determine whether each statement is always, sometimes, or never true. Explain There is exactly one plane that contains noncollinear points A, B, and C.

Assume

$$b > 0 \text { and } b \neq 1.$$

Tell whether the statement is sometimes, always, or never true. A logarithm with base b can be changed to another rational-number base.

Determine whether the following statement is sometimes, always, or never true. Explain your reasoning. "The sum of three consecutive odd integers equals an even integer."

Determine whether the statement is sometimes, always, or never true. Explain your reasoning. A number that is a solution of the inequality $5 \leq x$ is also a solution of the inequality x > 5.

Simplify each expression. Assume that no variable equals zero. $\\$$\left($$\frac{3 x^2 y^{-2}}{5 x^2 y}\right)^2$

point B is the midpoint of $\overline{A C}$ and point C is the midpoint of $\overline{B D}$. Write a paragraph proof to prove that A B=C D..

Determine whether the statement is always, sometimes, or never true. Explain your reasoning.

Points A, B, and C determine a plane.

Tell whether each statement is sometimes, always, or never true. Support your answer with a sketch. $\vec { A B }$ is another name for $\vec { BA }$.