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Geometry - Year End Review

Total questions: 63

Worksheet time: 4hrs 12mins

Name
Class
Date
1.
a)
perpendicular lines
b)
parallel lines
c)
vertex
d)
intersecting
2.
Which pair of angles add up to 180 degrees?
a)
A and W
b)
C and X
c)
D and X
d)
A and G
3.
Are these lines perpendicular?
y = 4x + 2
y = (-1/4)x + 12
a)
YES
b)
NO
4.

When do you use CPCTC in a proof?

a)

To prove that triangles are congruent.

b)

To prove individual parts of already congruent triangles are congruent.

c)

To prove that a line is an angle bisector.

d)

Always at the very end of a proof.

5.
Which angles would be considered adjacent?
a)
1 and 2
b)
1 and 3
6.
Angles 1 and 3 are called _______.
a)
Supplementary Angles
b)
Vertical Angles
c)
Linear Pair of Angles
d)
Adjacent Angles
7.

Which angles are Alternate Interior Angles ?

a)

∠2 and ∠7

b)

∠1 and ∠7

c)

∠3 and ∠7

d)

∠6 and ∠7

8.
What are supplementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect
9.

 BA‾≅AB‾\overline{BA}\cong\overline{AB} .  Reason? 

a)

Transitive Property

b)

Reflexive Property

c)

Symmetric Property

d)

Definition of Bisector

10.
How are the triangles congruent?
a)
HL
b)
SSS
c)
SAS
d)
AAS
11.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
12.

To use trig functions (SohCahToa)you must change the calculator to degree mode.

a)

True

b)

False

13.
What is the sum of the exterior angles of an octagon?
a)
240
b)
360
c)
180
d)
1080
14.
Which two lines are parallel?
a)
c and d
b)
b and e
c)
c and e
d)
b and d
15.

Write the standard equation of the circle with center (4, -3) and radius 4 units

a)

(x + 4)2 + (y - 3)2 = 16

b)

(x - 4)2 + (y + 3)2 = 16

c)

(x + 4)2 + (y - 3)2 = 4

d)

(x - 4)2 + (y + 3)2 = 4

16.
Write the rule for this translation:
Slide 3 up and 2 right
a)
(x, y)---->(x + 3, y + 2)
b)
(x, y)-----> (x+2, y + 3)
c)
(x, y)----> (x - 2, y + 3)
17.
Can the following side measures form a triangle?
  3, 5, 8 
a)
Yes
b)
No
18.
If a triangle has one angle greater than 90° and no equal sides, what type of triangle is it?
a)
Acute Isosceles
b)
Acute Scalene
c)
Obtuse Scalene
d)
Obtuse Isosceles
19.
If a triangle has one angle exactly 90° and two equal sides, what type of triangle is it?
a)
Right Isosceles
b)
Acute Scalene
c)
Obtuse Scalene
d)
Obtuse Isosceles
20.

What are complementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect.

21.
Find the missing angle.  Find x.
a)
20o
b)
70o
c)
160o
d)
180o
22.
Find the missing angle.
a)
60
b)
70
c)
50
d)
140
23.
Tell whether the angles are complementary, supplementary or neither.
a)
Complementary
b)
Supplementary 
c)
Neither
24.

Find x

a)

40 degrees

b)

21 degrees

c)

42 degrees

d)

39 degrees

25.
What is the angle relationship?
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same-Side Interior
26.
What is the Angle Relationship
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same Side-Interior
27.
Angle 1 = 27o
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
28.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

29.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
30.
Find the distance between ( 1, 3) and (5, 6) 
a)
3
b)
4
c)
5
d)
6
31.
What does the word BISECT mean?
a)
To cut something into more than five pieces.
b)
It is a plane with two sets of wings.
c)
A shape that has three sides. 
d)
To cut something into two congruent pieces or in half.
32.

Which of the following is the correct midpoint formula given two endpoints (x1, y1) and (x2, y2)?

a)
b)
c)
d)
33.
?
a)
2
b)
3
c)
9
d)
81
34.
What is the formula used to solve for the hypotenuse?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
35.
Which one is the easy way to remember trigonometric ratios?
a)
Sah Coh Toa
b)
Soh Cah Toa
c)
Soh Cah Tao
d)
Soh Ceh Toa
36.
What equation can be used to solve for x?
a)
Sin(40°)= x/40 
b)
Sin(40º)=x/19
c)
Cos(40º)=x/19
d)
Tan(40°)=19/x
37.

Give the Ratio for SIN X

a)

Opp/Adj

b)

Adj/Hyp

c)

Opp/Hyp

d)

Adj/Opp

38.
Give the Ratio for COS X
a)
Adj/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Opp/Hyp
39.
a)
9/41
b)
40/41
c)
9/40
d)
3/10
40.
Give the Ratio for TAN X
a)
Adj/Opp
b)
Opp/Adj
c)
Adj/Hyp
d)
Opp/Hyp
41.
What does congruent mean?
a)
Same shape, different size
b)
Not same shape, or size
c)
Same size, same shape
42.
All angles in similar figures are congruent.  
a)
True
b)
False
43.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
44.
When you dilate a figure you...
a)
slide it.
b)
turn it.
c)
flip it.
d)
make it larger or smaller.
45.
If the scale factor is less than one, the new figure will be
a)
an enlargement
b)
a reduction
c)
a scale factor
46.
If the scale factor is greater than one, the new figure will be
a)
a reduction
b)
an enlargement
c)
a scale
d)
not proportional
47.
Are the triangles similar?
a)
Yes
b)
No
48.

Calculate the value of the scale factor between the 2 triangles

a)

2.5

b)

3

c)

3.5

d)

4

49.

Are these triangles congruent?

a)

Yes - RHS

b)

Yes - SSA

c)

Yes - SAS

d)

No - They are different triangles

50.

Are these triangles congruent?

a)

Yes - AAA

b)

Yes - SSS

c)

No, they are different

d)

Not enough information

51.

Are these triangles congruent?

a)

Yes - ASA

b)

Yes - SSS

c)

Yes - SAS

d)

No - they are not congruent

52.
What does SSS stand for?
a)
Small Small Small
b)
Side Side Side
c)
Small Side Small
d)
Sam's Silly Side
53.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
54.
What is always the 1st statement in reason column of a proof?
a)
Prove
b)
Given
c)
Reason
d)
Statement
55.
What is reason #2?
a)
Definition of Midpoint
b)
Definition of Perpendicular
c)
Definition of Bisect
d)
Definition of Right Triangle
56.
What is reason #2?
a)
Definition of Midpoint
b)
Definition of Perpendicular
c)
Definition of Bisect
d)
Definition of Right Triangle
57.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the x-axis

c)

Reflection across the y-axis

d)

90o counter clockwise rotation

58.

How is the blue triangle rotated to the red triangle?

a)

90 clockwise

b)

90 counterclockwise

c)

180 clockwise

d)

180 counterclockwise

59.

What is this picture an example of?

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

60.

Identify the transformation performed

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

61.
How is Quadrilateral EFGH translated to E'F'G'H'?
a)
6 down
b)
6 down, 1 right
c)
6 down, 3 left
d)
8 down, 1 right
62.
Scale Factor of ½ is __________________ .
a)
Reduction
b)
Enlargement
63.
Scale Factor of 5 is _________________ .
a)
Reduction
b)
Enlargement