Points, Lines, Planes and Angles

Sketch and label the figures described.

Plane $M$ contains intersecting lines $j$ and $k$.

Sketch and label the figures described.

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

Name a point on $\overline{ST}$ that is not on $\overline{ST}$.

Complete $RS=\_\_\_\_\_$       and $ST=\_\_\_\_\_$

Complete $\overline{RS}$ and $\overline{ST}$ are called _____ segments.

If $U$ is the midpoint of $\overline{TV}$, find the value of $x$.

Name three angles that have vertex $D$. Which angles with vertex $D$ are adjacent angles?

1. $m\angle CBD=\_\_\_\_\_$
   
2. Name the postulate that justifies your answer in part (a).

What kind of angle is $\angle CBD$?

$\overrightarrow{DB}$ bisects $\angle ADC,m\angle 1=5x-3,\text{\hspace{0.33em}and }m\angle 2=x+25$. Find the value of $x$.

Classify each statement as true or false.

It is possible to locate three points in such a position that an unlimited number of planes contain all three points.

Classify each statement as true or false.

It is possible for two intersecting lines to be non-coplanar.

Classify each statement as true or false.

Through any three points there is at least one line.

Classify each statement as true or false.

If points $A$ and $B$ lie in plane $P$, then so does any point of $\overleftrightarrow{AB}$.

State how many points meet the requirements. For the answer write none, one, or an unlimited number.

Equidistant from points $A$ and $B$.

State how many points meet the requirements. For the answer write none, one, or an unlimited number.

On $\overrightarrow{BC}$ and equidistant from points $A$ and $B$.

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

On $\angle AXC$ is a straight angle.

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

Point $Y$ lies in the interior of $\angle 3$.

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

$\angle ADC$ is a right angle.

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

$X$ is the midpoint of $\overrightarrow{AC}$.

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

Point $Y$ lies between points $A$ and $B$.

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

Name three collinear points.

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

Name the intersection of $\overrightarrow{CX}$ and $\overleftrightarrow{AB}$.

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

Which postulate justifies the statement $AX+XC=AC$?

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

If $\overline{AC}$ bisects $\overline{BD}$, name two congruent segments.

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

Name the vertex and sides of $\angle 1$.

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

Name a right angle.

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

If $m\angle 1=46$, find $m\angle DXC$ and $m\angle CXB$.

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

If $m\angle DAX=70$, find the measure of $\angle XAB$.

Refer to a number line that is not pictured here. Point $A$ has coordinate 2 and point $B$ has coordinate 5.

What is the length of $\overline{AB}$?

Refer to a number line that is not pictured here. Point $A$ has coordinate 2 and point $B$ has coordinate 5.

What is the coordinate of the midpoint of $\overline{AB}$?

Refer to a number line that is not pictured here. Point $A$ has coordinate 2 and point $B$ has coordinate 5.

If $A$ is the midpoint of $\overline{PB}$, what is the coordinate of $P$?

Refer to a number line that is not pictured here. Point $A$ has coordinate 2 and point $B$ has coordinate 5.

What is the coordinate of a point that is on $\overrightarrow{AB}$ and is 4 units from $B$?

Refer to a number line that is not pictured here. Point $A$ has coordinate 2 and point $B$ has coordinate 5.

What is the coordinate of a point that is 4 units from $B$, but is not on $\overrightarrow{AB}$?

Is it possible for a line and a point to be noncoplanar?

Is it possible for the intersection of two planes to consist of a segment?

Is a postulate an important proved statement, or is it a basic assumption?

Complete the statement of the postulate: If two points are in a plane, then$\underline{}\underline{}\underline{}\underline{?}\underline{}\underline{}\underline{}$.