Geometry Final Exam 2021

Look at the graph.

Which two lines are parallel?

• $\overline{AB}\ and\ \overline{CD}$

• $\overline{CD}\ and\ \overline{GH}$

• $\overline{AB}\ and\ \overline{EF}$

• $\overline{EF}\ and\ \overline{GH}$

Answer explanation

Parallel lines have the same slope.

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G.3b

Look at the image of two telephone poles. Let y = 114° .

Identify each true statement. Use information below.

Wire A is parallel to Wire B.
Pole 1 is parallel to Pole 2.

• $x=114\degree$

• $z=114\degree$

• $w=114\degree$

• $w=66\degree$

• $z=66\degree$

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SOL G.2b

Look at the image. Which line segment is congruent to $\overline{AF}$ ?

• $\overline{WZ}$

• $\overline{WT}$

• $\overline{YT}$

• $\overline{XZ}$

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SOL G.4a

Which dotted line segment correctly represents the

perpendicular bisector of line segment XY?

• $\overline{CD}$

• $\overline{AB}$

• $\overline{TW}$

• $\overline{GF}$

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SOL G.4b

Look at the construction. The construction represents the steps in constructing a -

• line segment congruent to $\overline{AB}$

• line segment congruent to $\overline{BC}$

• line parallel to $\overline{BC}$ through point A

• line perpendicular to $\overline{BC}^{ }$ through point A

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SOL G.4c

Bisect $\angle C$ of polygon ABCDF. Which point lies on the bisector?

• Point W

• Point X

• Point Y

• Point Z

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SOL G.4e

Construct a line parallel to line p through point T. Which point lies on the parallel line with point T?

• Point X

• Point R

• Point D

• Point B

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SOL G.4g

Statement: If two lines are parallel, then they have the same slope.

What is the converse of the statement?

• If two lines have the same slope, then they are parallel.

• If two lines are not parallel, then they do not have the same slope.

• If two lines do not have the same slope, then they are not parallel.

• If two lines are not parallel, then they have the same slope.

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SOL G.1a

Let a  = Opposite sides of a quadrilateral are parallel.
Let b = The quadrilateral is a parallelogram.
Let c = Diagonals of a parallelogram bisect one another.
Argument:  
If opposite sides of a quadrilateral are parallel, then the quadrilateral is a parallelogram.
If a quadrilateral is a parallelogram, then the diagonals bisect one another.
Therefore, if opposite sides of a quadrilateral are parallel, then the diagonals bisect one another.

Which of the following is the symbolic representation of the given segment?

•  $a\rightarrow b$  
   $b\rightarrow c$  
   $\therefore a\longrightarrow c$  
  

•  $a\rightarrow b$  
   $c$  
   $\therefore a\longrightarrow c$  
  

•  $a\rightarrow b$  
   $c\rightarrow b$  
   $\therefore a\longrightarrow b$  
  

•  $a\rightarrow b$  
   $c\rightarrow b$  
   $\therefore a\longrightarrow c$  
  

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SOL G.1b

Look at $\Delta XYZ$   . Which list has the sides of  $\Delta XYZ$  ordered from longest to shortest?

•  $\overline{XY},\ \overline{ZY},\ \overline{ZX}$  

•  $\overline{ZX},\ \overline{YZ},\ \overline{XY}$  

•  $\overline{ZX},\ \overline{YX},\ \overline{ZY}$  

•  $\overline{ZY},\ \overline{XZ},\ \overline{XY}$  

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SOL G.5a