Free Printable 12/11 Geometry Review

1.

What is the value of x?

a)

40^o

b)

65^o

c)

180^o

d)

55^o

2.

If ∢3 is 35^o, what is ∢4?

a)

35^o

b)

51^o

c)

45^o

d)

23^o

3.

Classify the pair of angles.

a)

Complementary Angles

b)

Supplementary Angles

c)

Vertical Angles

d)

Obtuse Angles

4.

What is the correct notation for the figure shown?

a)

$\overrightarrow{VW}$

b)

$\overrightarrow{WV}$

c)

$\overline{VW}$

d)

$\overleftarrow{WV}$

5.

a)

20.35

b)

12.72

c)

14.99

d)

21.83

6.

a)

38.66

b)

36.87

c)

53.13

d)

45.71

7.

a)

32.58

b)

57.42

c)

31.44

d)

59.02

8.

a)

34.64

b)

40.00

c)

23.09

d)

38.23

9.

Solve for the missing angle.

a)

32°

b)

44°

c)

61°

d)

50°

10.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

33°

b)

49°

c)

39°

d)

41°

11.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

12.

Which of the following is NOT a triangle congruence criteria?

a)

SAS

b)

AAS

c)

SSA

d)

ASA

13.

What does CPCTC stand for?

a)

Corresponding Parts of Congruent Triangles are Congruent

b)

Congruent Parts of Congruent Triangles are Corresponding

c)

Colorful Pieces of Corresponding Triangles are Congruent

d)

Congruent Pieces of Congruent Triangles are Congruent

14.

What triangle congruence criteria is shown in the given diagram?

a)

AAS

b)

ASA

c)

SSA

d)

SAS

15.

What triangle congruence criteria is shown in the given diagram?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

16.

A triangle with two congruent sides and two congruent angles (base angles) is called ...

a)

scalene

b)

equilateral

c)

isosceles

d)

obtuse

17.

What is the missing piece of information required to prove these triangles congruent?

a)

QY ≅ QY

b)

NY ≅ PY

c)

∠N ≅ ∠P

d)

QY is the perpendicular bisector

18.

Point B (2, -3) is rotated 90° about the origin. What are the coordinates of B'?

a)

(-2, -3)

b)

(-3, 2)

c)

(3, -2)

d)

(3, 2)

19.

Given: ∠1 and ∠2 are supplementary. What can you conclude?

a)

$m\angle1+m\angle2=180\degree$

b)

m\angle1+m\angle2=90\degree

c)

$m\angle1=m\angle2$

d)

Nothing

20.

Given: ∠1 and ∠3 are vertical angles. What should you conclude by the vertical angles theorem?

a)

$\angle1$ and $\angle3$ are a linear pair

b)

undefined andundefined are right angles.

c)

$\angle2\cong\angle3$

d)

$\angle1\cong\angle3$

21.

In the given proof, what is the statement for step 2?

a)

Angles that form a linear pair are supplementary. $m∠1+m∠3=180°$

b)

$m∠3+m∠5=180°$

c)

$m∠1=m∠3$

d)

$\angle3\cong\angle5$

22.

In the given proof, what is the statement for step 2?

a)

$AD≅DB$

b)

$CD≅CD$

c)

$m\angle ADC+m\angle BDC=180\degree$

d)

$\angle ADC\cong\angle BDC$

23.

Why are these 2 triangles congruent, based on your proof?

a)

ASA

b)

SAS

c)

SSS

d)

Hypotenuse Leg Thm

24.

By what reasoning are the two triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

The triangles are not congruent.

25.

In the given proof, what is the statement for step 4?

a)

$\angle2\cong\angle3$

b)

$m\angle1+m\angle4\ =180\degree$

c)

$\angle1\cong\angle4$

d)

$\Delta ABC\cong\Delta ACD$ .

26.

What is the "reason" for step 5 of the proof?

a)

Angle Bisector Theorem

b)

Reflexive property

c)

CPCTC Theorem

d)

Proof

27.

What is the "statement" for step 2 of the proof?

a)

AD=AD

b)

AD=DA

c)

HD=DN

d)

HA = AN

28.

The red (ΔKNM) and blue (ΔPLM) triangles are congruent. Identify a common angle.

a)

Angle M

b)

Angle P

c)

Angle K

d)

Angle MLP

29.

What is Addition property of equality

a)

a. If a=b, then a+c=b+c

b)

b. If a=b, then a-c=b-c

c)

c. If a=b, then ac=bc

d)

d. If a=b, then a/c=b/c

30.

If 3x + y = 14 and y = 9, then 3x + 9 = 14.

a)

Reflexive Property of Equality

b)

Symmetric Property of Equality

c)

Transitive Property of Equality

d)

Substitution Property of Equality

31.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

32.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

a)

25 feet

b)

26 feet

c)

27 feet

d)

28 feet

33.

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

a)

111.8 yards

b)

115 yards

c)

127.3 yards

d)

119 yards

34.

Find the length of the missing side.

a)

48 in.

b)

52 in.

c)

16 in.

d)

24 in.

35.

What is the longest side of a right triangle?

a)

Legs

b)

Hypotenuse

c)

Long Side

d)

Short side

36.

Which Pythagorean Triple does the picture illustrate?

a)

4, 5, 6

b)

2, 3, 4

c)

3, 4, 5

d)

1, 2, 3

37.

The legs of a right triangle have lengths 10 and 24. What is the length of the hypotenuse?

a)

13

b)

14

c)

26

d)

34

38.

Which angle is a vertical angle to with $\angle7$ ?

a)

$\angle1$

b)

$\angle5$

c)

$\angle3$

d)

$\angle6$

e)

$\angle9$

39.

8) Given the following two parallel lines that have been cut by a transversal.

$\angle1$ and which angle make up Alternate Interior angles?

a)

\angle2

b)

$\angle6$

c)

$\angle5$

d)

$\angle3$

40.

What angle corresponds to $\angle1$ ?

a)

$\angle4$

b)

$\angle5$

c)

$\angle8$

d)

$\angle2$

41.

Are these vertical angles?

a)

yes

b)

no

42.

Find the value of x if the $m\angle3\ =\ -4x+5\degree$ and the $m\angle5\ =\ -13x+39\degree$ .

a)

-3.8

b)

3.8

c)

-8

d)

8

43.

Find the value of x if the $m\angle1\ =\ 12x+19\degree$ and the $m\angle2\ =\ 22x-9\degree$ .

a)

-2.8

b)

2.8

c)

-5

d)

5

44.

Find the value of x if the $m\angle1\ =\ 11x\ -\ 9\degree$ and the $m\angle5\ =\ 7x\ +9\degree$ .

a)

-4.5

b)

4.5

c)

1

d)

0

45.

$\overrightarrow{EJ}\$ bisects $\angle DEF$ , $m\angle DEJ=5x+7$ , $m\angle JEF=8x-8$ .
Find x.

a)

5

b)

2

c)

6

d)

13

46.

Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate exterior angles?

a)

$\angle4$ and $\angle8$

b)

$\angle7$ and $\angle5$

c)

$\angle1$ and $\angle2$

d)

$\angle6$ and $\angle5$

47.

Given $m\angle1$ is 105°, what is the $m\angle4?$

a)

$85\degree$

b)

$105\degree$

c)

$115\degree$

d)

$180\degree$

48.

Find the value of x.

(a)

49.

What is the $m\angle3?$

(a)

50.

For the given figure, can you conclude that $r\parallel s$ ? Explain.

4 lines

12/11 Geometry Review

Total questions: 50

Worksheet time: 2hrs 8mins

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