Points, Lines, Planes and Angles

For the following figure, state whether the figure appears to be congruent or not.

For the following figure, state whether the figure appears to be congruent or not.

Draw two points P, Q on a sheet of paper. Fold the paper so that fold line f contain both P, Q. Unfold the paper. Now fold so that P falls on Q. Call the second fold g. Lay the paper flat and label the intersection of f and g as X. How are points P, Q and X? Explain.

State the following statement is true or not.

If $AB=BC$, then point B must be the midpoint of $\overline{AC}$.

For the following coordinates of two points on a number line, state the distance between the points $-2$ and 6.

For the following coordinates of two points on a number line, state the distance between the points $-2$ and $-6$.

For the following coordinates of two points on a number line, state the distance between the points 2 and $-6$.

For the following coordinates of two points on a number line, state the distance between the points 7 and $-1$.

For the following coordinates of two points on a number line, state the distance between the points $-3$ and $-17$.

For the following coordinates of two points on a number line, state the distance between the points $-1.2$ and $-5.7$.

The following numbers are the coordinates of two points on a number line. State the distance between the points $-2.5$ and 4.6.

In the following diagram $\overline{HL}$ and $\overleftrightarrow{KT}$ intersect at the midpoint of $\overline{HL}$. Classify the following statement as true or false.

$\overline{LM}\cong \overline{MH}$

In the following diagram $\overline{HL}$ and $\overleftrightarrow{KT}$ intersect at the midpoint of  $\overline{HL}$. Classify the following statement as true or false. 

KM must equal to MT.

In the following diagram $\overline{HL}$ and $\overleftrightarrow{KT}$ intersect at the midpoint of $\overline{HL}$. Classify the following statement as true or false.

$\overline{MT}$ bisects $\overline{LH}$.

In the following diagram $\overline{HL}$ and $\overleftrightarrow{KT}$ intersect at the midpoint of $\overline{HL}$. Classify the following statement as true or false. 

$\overleftrightarrow{KT}$ is a bisector of $\overline{LH}$.

In the following diagram $\overline{HL}$ and $\overleftrightarrow{KT}$ intersect at the midpoint of $\overline{HL}$.  Classify the following statement as true or false.

$\overrightarrow{MT}$ and $\overrightarrow{TM}$ are opposite rays.

In the following diagram $\overline{HL}$ and $\overleftrightarrow{KT}$ intersect at the midpoint of $\overline{HL}$. Classify the following statement as true or false.

$\overrightarrow{MT}$ and $\overrightarrow{MK}$ are opposite rays.

In the following diagram $\overline{HL}$ and $\overleftrightarrow{KT}$ intersect at the midpoint of $\overline{HL}$. Classify the following statement as true or false. 

$\overleftrightarrow{LH}$ is same as $\overline{HL}$

In the following diagram $\overline{HL}$ and $\overleftrightarrow{KT}$ intersect at the midpoint of $\overline{HL}$. Classify the following statement as true or false. 

$\overrightarrow{KT}$ is the same as $\overrightarrow{KM}$.

In the following diagram $\overline{HL}$ and $\overleftrightarrow{KT}$ intersect at the midpoint of $\overline{HL}$. Classify the following statement as true or false.

$\overleftrightarrow{KM}$ is the same as $\overleftrightarrow{KM}$.

In the following diagram $\overline{HL}$ and $\overleftrightarrow{KT}$ intersect at the midpoint of $\overline{HL}$. Classify the following statement as true or false. 

$\overline{KT}$ is the same as $\overline{KM}$.

In the following diagram $\overline{HL}$ and $\overleftrightarrow{KT}$ intersect at the midpoint of $\overline{HL}$. Classify the following statement as true or false. 

 $HM+ML=HL$

In the following diagram $\overline{HL}$ and $\overleftrightarrow{KT}$ intersect at the midpoint of $\overline{HL}$. Classify the following statement as true or false.

$TM+MH=TH$

In the following diagram $\overline{HL}$ and $\overleftrightarrow{KT}$ intersect at the midpoint of $\overline{HL}$. Classify the following statement as true or false.

$T$ is between $H$ and $M$.

In the following diagram $\overline{HL}$ and $\overleftrightarrow{KT}$ intersect at the midpoint of $\overline{HL}$. Classify the following statement as true or false. 

$M$ is between $K$ and $T$.

For the following figure, name the coordinate on $\overrightarrow{DA}$ whose distance from D is 2.

For the following figure, name the coordinate on $\overrightarrow{DG}$ whose distance from D is 2.

For the following figure, name the two points whose distance from E is 2.

For the following figure, name the ray opposite to $\overrightarrow{BE}$.

For the following figure, name the midpoint of $\overline{BF}$.

For the following figure, name the coordinate of the midpoint of $\overline{BD}$.

For the following figure, name the coordinate of the midpoint of  $\overline{AE}$.

For the following figure, name a segment congruent to $\overline{AF}$.

Draw $\overline{CD}$ and $\overline{RS}$ so that the following condition is satisfied.

$\overline{CD}$ and $\overline{RS}$ intersect, but neither segment bisects the other.

Draw $\overline{CD}$ and $\overline{RS}$ so that the following condition is satisfied.

$\overline{CD}$ and $\overline{RS}$ bisects each other.

Draw $\overline{CD}$ and $\overline{RS}$ so that the following condition is satisfied.

$\overline{CD}$ bisects $\overline{RS}$, but $\overline{RS}$ does not bisect $\overline{CD}$.

Draw $\overline{CD}$ and $\overline{RS}$ so that the following condition is satisfied.

$\overline{CD}$ and $\overline{RS}$ do not intersect, but $\overrightarrow{CD}$ and $\overrightarrow{RS}$ do 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. $PQ=\_\_$

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

For the following figure, E is the midpoint $\overline{DF}$. Find the value x, where $DE=5x+3$ and $EF=33$.

For the following figure, $E$ is the midpoint of $\overline{DF}$. Find the value  $x$, where $DE=45$ and $EF=5x-10$

For the following figure, $E$ is the midpoint of $\overline{DF}$. Find the value  $x$, where $DE=3x$ and $EF=x+6$

For the following figure, $E$ is the midpoint of $\overline{DF}$. Find the value $x$, where $DE=2x-3$ and $EF=5x-24$

For the following figure, $E$ is the midpoint of $\overline{DF}$. Find the value  $y$, where $GE=y$, $EH=y-1$ and $GH=11$

For the following figure, $\mathbf{\text{E}}$ is the midpoint of $\overline{\mathbf{D}\mathbf{F}}$. Find the value $\mathit{y}$, where $\mathit{G}\mathit{E}\mathbf{=}\mathbf{3}\mathit{y}$, $\mathit{G}\mathit{H}\mathbf{=}\mathbf{7}\mathit{y}\mathbf{-}\mathbf{4}$ and  $\mathit{E}\mathit{H}\mathbf{=}\mathbf{24}$

For the following figure, $\mathit{E}$ is the midpoint of   $\overline{\mathbf{D}\mathbf{F}}$. Find the value  $\mathit{z}$, where  $\mathit{G}\mathit{E}\mathbf{=}\mathit{z}\mathbf{+}\mathbf{2}$, $\mathit{E}\mathit{H}\mathbf{=}\mathbf{2}\mathit{z}\mathbf{-}\mathbf{6}$ and $\mathit{G}\mathit{H}\mathbf{=}\mathbf{20}$. Find the $\mathit{G}\mathit{E}$, $\mathit{E}\mathit{H}$ and state whether $\mathit{E}$ is the midpoint of  $\overline{\mathbf{G}\mathbf{H}}$.

For the following figure, $\mathit{E}$ is the midpoint of $\overline{\mathbf{D}\mathbf{F}}$. Find the value $\mathit{z}$, where $\mathit{G}\mathit{E}\mathbf{=}\mathit{z}$, $\mathit{E}\mathit{H}\mathbf{=}\mathbf{2}\mathit{z}\mathbf{-}\mathbf{4}$ and $\mathit{G}\mathit{H}\mathbf{=}\mathit{z}\mathbf{+}\mathbf{6}$ . Find the $\mathit{G}\mathit{E}$, $\mathit{E}\mathit{H}$ and state whether $\mathit{E}$ is the midpoint of $\overline{\mathbf{G}\mathbf{H}}$.

For the following figure, name the graph of the given equation or inequality $\mathbf{-}\mathbf{2}\mathbf{\le }\mathit{x}\mathbf{\le }\mathbf{2}$.

For the following figure, name the graph of the given equation or inequality $\mathit{x}\mathbf{\le }\mathbf{0}$.

For the following figure, name the graph of the given equation or inequality $\left|x\right|\mathbf{\le }\mathbf{4}$.