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geo eoc 1

Total questions: 65

Worksheet time: 4hrs 57mins

Name
Class
Date
1.
What additional information is required for the 2 triangles to be congruent by SSS?
a)
A
b)
B
c)
C
d)
D
2.
Fill in the missing proofs.
a)
Transitive Property, SAS(Side-Angle-Side)
b)
Reflexive Property, SAS(Side-Angle-Side)
c)
Reflexive Property, Vertical Angles Thm.
d)
Transitive Property, SSS(Side-Side-Side)
3.
The centroid is the point of concurrency of the 3 ____ of a triangle. 
a)
Medians
b)
Midsegments
c)
Perpendicular Bisectors
d)
Angle Bisectos
4.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
5.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
6.
TS is a midsegment of triangle GHI. Solve for the value of x.
a)
4
b)
6
c)
8
d)
10
7.
Choose the correct ratio.
a)
A
b)
B
c)
C
d)
D
8.
Which scenario describes the picture shown?
a)
A 5 foot ramp is 8 feet away from a building.  What is the angle that the ramp makes with the ground?
b)
A 5 foot ramp leans against an 8 foot structure.  What is the angle that the ramp makes with the ground?
c)
An 8 foot ramp leans
against a building 5 feet away.  What angle does the ramp make with the ground?
d)
A 5 foot man is 8 feet away from a building.  What is the angle of elevation?
9.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
10.
A parallelogram is a rectangle when the diagonals ...
a)
are perpendicular.
b)
bisect each other.
c)
are congruent.
d)
are parallel.
11.
a)
The volume increases by a factor of 8.
b)
The volume increases by a factor of 27.
c)
The volume increases by a factor of 64.
d)
The volume increases by a factor of 16.
12.
What congruency postulate proves the triangles congruency?
a)
SAS
b)
ASA
c)
SSS
d)
HL
13.

What does a proof always start with?

a)

Theorems

b)

Given Statement(s)

c)

Postulates

d)

Reasons

14.

What property states that if

a = b and b = c then a = c?

a)

Equality Property

b)

Reflexive Property

c)

Transitive Property

d)

Associative Property

15.

What property states that something is congruent to itself?

a)

Symmetry Property

b)

Congruence Property

c)

Reflexive Property

16.
What is the justification (reason)?
a)
reflexive property
b)
definition of segment bisect
c)
definition of a midpoint
d)
substitution property
17.
Which transformation will result in being similar to the original figure but has a larger area?
a)
Dilation with scale factor of 2
b)
Dilation with scale factor of 1
c)
Dilation with scale factor of .5
d)
Translation 
18.

Reflect (3,5) over the x-axis.

a)

(2,2)

b)

(3,-5)

c)

(-3,-5)

d)

(-3,5)

19.
A triangle is dilated by a scale factor of ⅓ to produce a new triangle. Which of the following best describes the relationship between the perimeter of the original triangle compared to the perimeter of the new triangle?
a)
The perimeter of the new triangle is ⅓ that of the original triangle
b)
The perimeter of the new triangle is 3 times that of the original triangle.
c)
The perimeter of the new triangle is 1/9 that of the original triangle.
d)
The perimeter of the new triangle is 9 times that of the original triangle
20.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

21.
A measurable part of a line consisting of two endpoints.
a)
Coplanar
b)
Complementary
c)
Line Segment
d)
circumsimilarity proofsColinear
22.
a)
72
b)
67
c)
65
d)
54
23.
When you draw the perpendicular bisectors of a triangle it creates the point of concurrency called the _____________.
a)
Centroid
b)
Incenter
c)
Circumcenter
d)
Orthocenter
24.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
25.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
26.
Which point is equidistant from the vertices?
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Bilateral
27.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
28.
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
29.
When you draw the perpendicular bisectors of a triangle it creates the point of concurrency called the _____________.
a)
Centroid
b)
Incenter
c)
Circumcenter
d)
Orthocenter
30.
Magic Number:
The sum of all four angles in ALL quadrilaterals will ALWAYS equal _____
a)
180*
b)
270*
c)
360*
d)
90*
31.
Name that shape.
a)
quadrilateral, parallelogram
b)
quadrilateral
c)
quadrilateral, kite.
d)
quadrilateral, trapezoid
32.
A __________________ is always a rhombus, but a rhombus is not always a _______________. 
a)
rhombus
b)
parallelogram
c)
square
d)
rectangle
33.
A _______________ is a quadrilateral with two sets of parallel sides.
a)
trapezoid
b)
parallelogram
c)
kite
d)
triangle
34.
A ___________ is a quadrilateral with two sets or parallel sides and 4 congruent (equal) sides. 
a)
trapezoid
b)
rhombus
c)
parallelogram
d)
rectangle
35.
Kate built a garden box with 4 sides.  It has two sets of parallel sides.  Which of the following shapes could her garden NOT be?
a)
rectangle
b)
trapezoid
c)
square
d)
parallelogram
36.
Find the missing angle.
a)
30°
b)
60°
c)
90°
d)
120°
37.
What is unique about a isosceles trapezoid?
a)
All angles are 90 degrees & all sides have equal length.
b)
All sides have equal length.
c)
Two pairs of adjacent sides have equal length.
d)
Two sides are parallel and the other two sides are congruent
38.
A rectangle has one obtuse angle.
a)
Never
b)
Sometimes
c)
Always
d)
When there is a full moon in the night sky
39.
Lines that are equi-distant apart, go on forever in both directions, and never, ever intersect are called _____________.
a)
perpendicular lines
b)
parallel lines
c)
Intersecting lines
d)
vertex
40.
A location in space that is represented by a dot and has no dimensions
a)
Point
b)
Line
c)
Plane
d)
Angle
41.
Describe the cross section.
a)
rectangle
b)
trapezoid
c)
oval
d)
parallelogram
42.
What would result from slicing a rectangular pyramid perpendicular to the base?
a)
Circle
b)
Square
c)
Rectangle
d)
Triangle
43.
What would result from slicing a rectangular pyramid parallel to the base?
a)
Circle
b)
Square
c)
Rectangle
d)
Triangle
44.
Given a right triangular prism , a cross section is made perpendicular to the bases. Which of the following statements is true regarding  the cross section?
a)
The shape of the cross section is a rectangle
b)
The shape of the cross section is a triangle
c)
The shape of the cross section is a square
d)
The shape of the cross section is a circle. 
45.
Is it possible for a cross section of a cylinder to have a triangular shape?
a)
yes
b)
no
c)
sometimes
46.

Find the Area of this trapezoid:

a)

84 m2

b)

168 m2

c)

112 m2

d)

56 m2

47.

If a rectangle has an area of 30 square units and a height of 6 units, how many units is the base of the rectangle?

a)

5 units

b)

6 units

c)

3 units

d)

4 units

48.

In a trapezoid, the bases are always_________.

a)

congruent

b)

parallel

c)

perpendicular

49.
Find the volume of this figure. (V = lwh)
a)
148 cm²
b)
120 cm²
c)
320 cm2
d)
74 cm2
50.

If the radius of a cylinder is 4 cm and height is 10 cm, then the total surface area of a cylinder is:

a)

440 sq.cm

b)

352 sq.cm.

c)

400 sq.cm

d)

412 sq.cm

51.

The surface area of a sphere of radius 14 cm is:

a)

1386 sq.cm

b)

1400 sq.cm

c)

2464 sq.cm

d)

2000 sq.cm

52.

If slant height of the cone is 21 cm and the diameter of the base is 24 cm. The total surface area of a cone is:

a)

1200.77 sq.cm

b)

1177 sq.cm

c)

1222.77 sq.cm

d)

1244.57 sq.cm

53.

When solving for Volume what type of units could be a part of your answer?

a)

in

b)

ft2

c)

cm3

d)

vader10000

54.

When finding Surface Area which type of units could be on the end of your answer?

a)

mm

b)

cm2

c)

in3

d)

ft4

e)

minion8

55.
What 3D solid does this net create?
a)
Triangular Prism
b)
Triangular Pyramid
c)
Rectangular Pyramid
56.
What 3D solid does this net create?
a)
Triangular Prism
b)
Triangular Pyramid
c)
Rectangular Prism
d)
Rectangular Pyramid
57.

What is the name of the 4 cm length?

a)

radius

b)

apothem

c)

side length

58.

What is the name of the 3 cm length?

a)

apothem

b)

radius

c)

side length

59.

What is the name of the 4 unit lenght?

a)

apothem

b)

radius

c)

side length

60.

What is the name of the 9.6 unit length?

a)

radius

b)

apothem

c)

side length

61.

True or False: the 4 unit length is the radius

a)

true

b)

false

62.
Which definition best matches the term population density?
a)
human beings in general
b)
number of people in a particular area
c)
A measurement of people for a specific area
d)
All the inhabitants of a particular area
63.
Which is [likely to be] more densely populated?
a)
desert
b)
coast
64.
The average number of people living in an area
a)
population distribution
b)
population density
c)
urbanization
d)
population rate
65.

Which state has the greatest population density?

a)

New Jersey

b)

Rhode Island

c)

Connecticut

d)

Vermont

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