Chapter 1: Points, Lines, Planes and Angles

$\overleftrightarrow{\mathit{A}\mathit{L}}$bisects $\mathbf{\angle }\mathit{K}\mathit{A}\mathit{T}$. Find the value of $\mathit{x}$.

$\mathit{m}\mathbf{\angle }\mathbf{1}\mathbf{=}\mathbf{7}\mathit{x}\mathbf{+}\mathbf{3}$,$\mathit{m}\mathbf{\angle }\mathbf{2}\mathbf{=}\mathbf{6}\mathit{x}\mathbf{+}\mathbf{7}$

Find the value of the variable.

$\left(2g-15\right)+g=9$

Given the diagram, state whether you can reach the conclusion shown.

$AO=OB$

Sketch and label the figures described. Use dashes for hidden parts.

The horizontal plane Q and vertical plane N intersect.

In the following figure,$\overline{PR}\cong \overline{RT},S$is the midpoint of$\overline{RT},QR=4,ST=5$. Complete the following statements:

a.$RS=\_\_$

b.$RT=\_\_$

c. $PR=\_\_$

d. $PQ=\_\_$

$\overleftrightarrow{\mathit{A}\mathit{L}}$bisects $\mathit{\angle }\mathit{K}\mathit{A}\mathit{T}$. Find the value of $\mathit{x}$.

$\mathit{m}\mathbf{\angle }\mathbf{1}\mathbf{=}\mathbf{5}\mathit{x}\mathbf{-}\mathbf{12}$,role="math" localid="1649003773717" $\mathit{m}\mathbf{\angle }\mathbf{2}\mathbf{=}\mathbf{3}\mathit{x}\mathbf{+}\mathbf{6}$

Sketch and label the figures described. Use dashes for hidden parts.

Vertical planes X and Y intersect in $\overleftrightarrow{AB}$.

Find the value of the variable.

$3u+\left(u-2\right)=10$

Given the diagram, state whether you can reach the conclusion shown.

$\angle AOC\cong \angle BOC$

In the following figure,$X$is the midpoint of$\overline{VZ},VW=5,VY=20$. Find the coordinates of$W,X,Y$.