Free Printable Geometry Review Sections 1-6

1.

Which is the equation of the line that is parallel to the graph of y = 5x + 7 and has a y-intercept at (0, -2)?

a)

y = 5x - 2

b)

y = -2x + 7

c)

y = 5(x - 2)

d)

y = -1/5x - 2

2.

Slopes of perpendicular lines are...

a)

negative reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

3.

Slopes of parallel lines are...

a)

negative reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

4.

Choose ALL the lines PARALLEL to the following line: y = 2/9x - 7

a)

y = 2/9x + 8

b)

y = 9/2x -12

c)

-2y = 9x + 8

d)

9y = 2x -18

5.

A line is perpendicular to y = 2x - 7.
What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

6.

Directed line segment AB is partitioned by point P into a ratio of 1:3. Which of the following represent this relationship?

a)

b)

c)

d)

7.

6) The ratio is 3:1. How many parts are there?

a)

2

b)

3

c)

4

d)

5

8.

Find the point P that partitions the line segment AB given the ratio.
A (-5, 8) B(9, 3) with the ratio 2:5

a)

(12, 1.6)

b)

(-1, 7.6)

c)

(-1, 6.6)

d)

(13, 1.6)

9.

Given the points A(-1,2) and B(7,14), find the coordinates of the point P on directed line segment AB that partitions AB into a ratio 1:3.

a)

(1,5)

b)

(3,7)

c)

(4,4)

d)

(5,8)

10.

∠t = ∠______

a)

∠STV

b)

∠VUT

c)

∠STU

d)

∠VTU

11.

Choose the correct name for the angle marked $\angle4.$

a)

$\angle K$

b)

$\angle KVJ$

c)

$\angle LVK$

d)

$\angle JKV$

12.

Find the measure of angle 1.

a)

28^o

b)

136^o

c)

44^o

d)

6^o

13.

Lines r and s are cut by a transversal. What value of x proves r ∥ s?

a)

43

b)

37

c)

143

d)

37

14.

Name the corresponding angle to angle 4.

a)

angle 8

b)

angle 6

c)

angle 2

d)

angle 5

15.

Solve for y.

a)

y = 20

b)

y = 120

c)

y = 60

d)

y = 10

16.

a)

47

b)

57

c)

53

d)

133

17.

Solve for x.

a)

16

b)

11

c)

50

d)

6

18.

Which pair of angles is an example of alternate interior angles?

a)

$\angle1\ and\ \angle8$

b)

$\angle3\ and\ \angle7$

c)

$\angle4\ and\ \angle5$

d)

$\angle2\ and\ \angle5$

19.

Which pair of angles is an example of alternate exterior angles?

a)

$\angle1\ and\ \angle8$

b)

$\angle3\ and\ \angle7$

c)

$\angle4\ and\ \angle5$

d)

$\angle2\ and\ \angle5$

20.

What is the value of "a"?

a)

75°

b)

65°

c)

55°

d)

85°

21.

What is the value of "x"?

a)

20

b)

30

c)

25

d)

15

22.

What is the value of "x"?

a)

19

b)

28

c)

18

d)

30

23.

Compare QT and ST

a)

$QT\ <\ ST$

b)

$QT\ >\ ST$

c)

$QT\ =\ ST$

d)

$\overline{QT}\ \cong\ \overline{ST}$

24.

Which is NOT a possible measure for ∠DCB?

a)

27º

b)

30º

c)

34º

d)

36º

25.

Name the angles from SMALLEST to LARGEST

a)

Q, R, P

b)

P, Q, R

c)

R, P, Q

d)

R, Q, P

26.

Name the angles from LARGEST to SMALLEST

a)

R, S, T

b)

S, T, R

c)

S, R, T

d)

T, S, R

27.

Find x.

a)

180

b)

57

c)

61.5

d)

32.7

28.

What is the measure of angle 2?

a)

50

b)

65

c)

115

d)

60

29.

Identify the transformation from ABC to A'B'C'.

a)

90^o clockwise rotation

b)

90^o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

30.

a transformation that changes the size of a figure, but not the shape

a)

translation

b)

rotation

c)

reflection

d)

dilation

31.

How is triangle ABC being translated to triangle A'B'C'?

a)

(x, y) --> (x - 8, y + 3 )

b)

(x, y) -->(x - 4, y - 9)

c)

(x, y) --> (x + 8, y - 3)

d)

(x, y) --> (x+ 4, y - 9)

32.

Under what composition of transformations does triangle ABC map onto triangle A''B''C''

a)

Reflection over x-axis, then Rotation of 90 Degrees

b)

Rotation of -90 Degrees, then Reflection over y-axis

c)

Reflection over y-axis, then Rotation of -90 Degrees

d)

Rotation of 90 Degrees, then Reflection over x-axis

33.

If the red triangle is rotated 180 degrees, then reflected over y=2 what is the final image?

a)

Green Triangle

b)

Blue Triangle

c)

Orange Triangle

d)

Red Triangle

34.

What is the ordered pair for the final location of P( -7, 3) after this series of transformations? $\left(x,y\right)\rightarrow\left(x,\ y+3\right)$ then rotated $90\degree$ clockwise about the origin.

a)

$P'\left(-7,\ 6\right)$

b)

$P'\left(-7,\ -6\right)$

c)

$P'\left(6,\ -7\right)$

d)

$P'\left(6,\ 7\right)$

35.

What is the ordered pair for the final location of P( 2, 3) after this series of transformations? $\left(x,y\right)\rightarrow\left(x+2,\ y-4\right)$ then reflected over the $y-axis?$

a)

$P'\left(-4,\ 1\right)$

b)

$P'\left(-4,\ -1\right)$

c)

$P'\left(1,\ -4\right)$

d)

$P'\left(-1,\ -4\right)$

36.

Describe the transformations that map ABC onto A"B"C"

a)

translate 5 up and 1 left then reflect over y

b)

translate 5 down and 1 left, then reflect over y

c)

reflect over y=x then translate left 8

d)

reflect over x then rotate 90 clockwise

37.

What is the justification?

a)

Symmetric Property

b)

Angle Addition Postulate

c)

Reflexive Property

d)

Transitive Property

38.

Which is the correct reason for statement 2 in the proof?

a)

Given

b)

Transitive Property

c)

Definition of Congruent Angles

d)

Vertical Angles Theorem

39.

Supply the third reason.

a)

Vertical Angle Theorem

b)

Corresponding Angles Postulate

c)

Alternate Interior Angles Postulate

d)

Same Side Interior Angles Theorem

40.

3) What is the reason for statement 2?

a)

Given

b)

Vertical Angle Theorem

c)

Corresponding Angles Postulate

d)

Alternate Interior Angles Theorem

41.

11) What is the reason for Statement 2?

a)

Vertical Angles Theorem

b)

Corresponding Angles Theorem

c)

Alternate Exterior Angles Theorem

d)

Converse of Corresponding Angles Theorem

42.

Given: PL is the angle bisector of <RPQ

What can you conclude by definition of angle bisector?

a)

m<RPL = m<LPQ

b)

<RPL + m<LPQ = m<RPQ

c)

<RPQ is acute

d)

m<RPQ = 90

43.

What is the justification (reason)?

a)

reflexive property

b)

definition of segment bisector

c)

definition of a midpoint

d)

substitution property

44.

QR is a midsegment of triangle FGH. Solve for the value of x?

a)

5.5

b)

11

c)

-5.5

d)

-11

45.

QR is a midsegment of triangle BCD. Solve for the value of x.

a)

11

b)

18

c)

9

d)

-7

46.

If LN = 5, then AC = ______.

a)

5

b)

10

c)

15

d)

25

47.

If BD=16, EA=5 and FC=3, what is the perimeter of triangle ABC (add all sides of big triangle)

a)

48

b)

16

c)

27

d)

29

48.

Using Hinge Theorem which side is bigger?

a)

AR

b)

RB

c)

AR and RB are congruent.

d)

There is not enough information

49.

Find the length of PO.

a)

32

b)

35

c)

26

d)

29

50.

If G is the centroid of triangle ABC and GF= 4. Find the length of GC.

a)

4

b)

8

c)

12

d)

Not Enough Information

Geometry Review Sections 1-6

Total questions: 50

Worksheet time: 2hrs 36mins

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