91Ó°ÊÓ

Tell whether the statement is always, sometimes, or never true. Explain your reasoning. If an angle is acute, then its complement is greater than its supplement.

Tell whether the statement is always, sometimes, or never true. Explain your reasoning. If two complementary angles are congruent, then the measure of each angle is \(45^{\circ} .\)

Two points are located at (a, c) and (b, c). Find the midpoint and the distance between the two points

WRITING Explain how to ?nd m?ABD when you are given m?ABC and m?CBD. GRAPH CANNOT COPY

Explain why the supplement of an acute angle must be obtuse.

Explain why an obtuse angle does not have a complement.

Sketch an intersection of roads. Identify any supplementary, complementary, or vertical angles.

The length of \(\overline{\mathrm{XY}}\) is 24 centimeters. The midpoint of \(\overline{X Y}\) is \(M_{4}\) and \(C\) is on \(\overline{\mathrm{XM}}_{\mathrm{SO}}\) that \(\mathrm{XC}\) is \(\frac{2}{3}\) of XM Point \(\mathrm{D}\) is on \(\overline{\mathrm{MY}}\) so that \(\mathrm{MD}\) is \(\frac{3}{4}\) of MY. What is the length of \(\overline{\mathrm{CD}}\) ?

Given two points on a line and a third point not on the line, is it possible to draw a plane that includes the line and the third point? Explain your reasoning.

Explain why a four-legged chair may rock from side to side even if the floor is level. Would a three-legged chair on the same level floor rock from side to side? Why or why not?