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Geometry Semester 1 EOC #3

Total questions: 46

Worksheet time: 2hrs 31mins

Name
Class
Date
1.

Choose all the possible names for the given plane pictured

a)

Plane P

b)

Plane AB

c)

Plane ABD

d)

Plane ABC

e)

Plane BC

2.

Which of these symbols represent this picture?

a)

\angle

b)

\rightarrow

c)

\leftrightarrow

d)

\perp

e)

\parallel

3.

What are correct names for

1\angle1 ? Choose all that apply.

a)

R\angle R

b)

SRM\angle SRM

c)

SRG\angle SRG

d)

MRS\angle MRS

e)

XRS\angle XRS

4.

Find the value of x.

a)

74

b)

37

c)

52

d)

105

e)

75

5.

Line segment AB is drawn midpoint M. A bisector is drawn through point M. Mark claims that any point on the bisector drawn drawn through point M is equidistant from A and B

a)

The bisector must be the same length as AB

b)

The bisector must be perpendicular to AB

c)

The bisector must intersect but not cross AB

d)

The bisector must contain a finite number of points

e)

There is no additional information needed for Calley's Claim

6.

Which of the following is the construction of an equilateral triangle given side AB?

a)
b)
c)
d)
7.

Identify all the correct statement.

a)

∠C=116°

b)

∠C=64°

c)

∠C=180°

d)

∠D=64°

e)

∠D=116°

8.

WHICH IS THE CORRECT EQUATION AND FIND THE VALUE OF X?

a)

X= 13

b)

12X - 29 = 4X +1

c)

12X - 29 + 4X +1=90

d)

12X - 29 + 4X +1=180

e)

X= 3.75

9.

Order the sides of the triangle from smallest to biggest.

a)

segments DE, EV, DV

b)

segments DV, EV, DE

c)

segments EV, DV, DE

d)

segments DV, DE, EV

e)

Not enough information

10.

Find m∠A.

(a)  

11.

Use the Exterior Angle Theorem to find the value of x.

(a)  

12.

Find x.

(a)  

13.

Diagonals bisect angles at verticies

(Check all that must apply)

a)

Parallelogram

b)

Rhombus

c)

Rectangle

d)

Square

14.

What is the approximate perimeter of a rhombus with diagonals that measures 12 feet and 18 feet?

a)

39.8 feet

b)

43.3 feet

c)

58.5 feet

d)

60 feet

e)

Not enough information

15.

The sides of parallelogram ABCD

are represented as shown.

Find DA.

(a)  

16.

Solve for the variables.

a)

m=68

b)

n=70

c)

m=35

d)

m=140

e)

n=110

17.

Given trapezoid ABCD with median (labeled as shown).

Find EF.

(a)  

18.

The figure is a parallelogram.

Solve for x.

(a)  

19.

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

a)

Translation (x,y) -->(x-7,y)

b)

Reflection across the y-axis

c)

Reflection across the x-axis

d)

90o counter clockwise Rotation

e)

Translation (x,y) --> (x+7, y)

20.

Which of the following describes the sequence of transformations shown?

a)

Reflect across the x-axis and then rotate -90 (clockwise) around the origin

b)

Rotate -90 (clockwise) degrees around the origin and then translate down.

c)

Reflect across the x-axis and then reflect across the y-axis.

d)

Translate up and then rotate 90 (counterclockwise) degrees about the origin.

e)

Y-Axis reflection and then a x-axis reflection.

21.

Choose the correct transformations

a)

rotate 90 degrees counter-clockwise around the origin, and then reflect over the x-axis

b)

right 1, down 4, and then reflection over the y-axis

c)

right 6, and then reflection over the x-axis

d)

reflection over the line y=x, and then translate up 4, right 2

e)

reflection over the x-axis, and then rotate 90 degrees clockwise around the origin

22.

What is the rule for the following reflection?

a)

Reflection across y = −2

b)

Reflection across x = −2

c)

Reflection across x = 2

d)

Reflection across y = 2

e)

Reflection across y = x

23.

The rule for rotation of 180 degrees is

(x, y) --> _

a)

(-y, x)

b)

(-x, -y)

c)

(y, -x)

d)

(-y, -x)

e)

(-x, y)

24.

Identify the smallest angle of rotation that maps the image to itself.

a)

90°

b)

180°

c)

45°

d)

60°

e)

30°

25.

Which of the following transformation will map the trapezoid onto itself, choose ALL that apply?

a)

x axis reflection

b)

reflection across green line

c)

rotation 90 degrees about (2,-1)

d)

reflection across the blue line

e)

rotation 180 degrees about (2,-1)

26.

Which transformation will map the parallelogram onto itself?

a)

reflection x axis

b)

reflection y axis

c)

refection across the green line

d)

reflection over the line y=x

e)

none of these above

27.

An office supply store sells index cards in two different sizes. The large size is an enlargement of the small size. Both sizes are shown. Find the scale factor of the enlargement.

(a)  

28.

How was B translated to B' if B' is at (4, -2)?

a)

Reflected over the y-axis

b)

Translated 2 units to the left and 6 units down

c)

Translated 2 units to the right and 6 units down

d)

Translated 2 units to the right

e)

Reflected over the x-axis

29.

Identify both ways to translate from B to C.

a)

(4, 0)

b)

<4, 0>

c)

<-4, 0>

d)

(x + 4, y)

e)

(x, y+4)

30.

Which pair of transformations is the same as a reflection across the y-axis

a)

a rotation 90 degrees counter-clockwise and a reflection across the x-axis

b)

a rotation 90 degrees clockwise and a reflection across the y- axis

c)

a rotation of 180 degrees and a reflection across the x-axis

d)

a rotation of 180 degrees and a reflection across the y-axis

e)

a reflection across the line y=x and then a reflection across the line y=-x

31.

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

a)

Reflection over x-axis, then Rotation of 90 Degrees Counterclockwise

b)

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

c)

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

d)

Rotation of 90 Degrees, then Reflection over x-axis

e)

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

32.

Determine the image of A after it's first dilated by a scale factor of 1/2 and then translated by the rule

(x, y) → (x − 4, y − 3)

a)

(-7, -5)

b)

(-3, -2)

c)

(-10, -7)

d)

(-6, -4)

e)

(-16, -11)

33.

Name the postulate, if possible, that makes triangles AED and CEB congruent.

a)

AAS

b)

SAS

c)

HL

d)

Not enough information

e)

SSA

34.

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

a)

AD=AD

b)

AD=DA

c)

HD=DN

d)

HA = AN

e)

AH=NA

35.

Choose all the statements that are true about the figure in the picture

a)

m<D=10o

b)

m<D=75o

c)

x=10o

d)

m<DGF=15o

e)

m<DGF=30o

36.

Which could be used to prove congruence of the two triangles in the picture above.

a)

SSS

b)

SAS

c)

ASA

d)

HL

e)

Not enough information

37.

Choose all the correct statements based on the proof:

a)

EG EG by Reflexive Property\overline{EG}\ \cong\overline{EG\ }\ by\ \ Reflexive\ \Pr operty

b)

FEGDGE Corresponding Angles\angle FEG\cong\angle DGE\ \ Corresponding\ Angles

c)

ΔDEGΔFGE by ASA\Delta DEG\cong\Delta FGE\ by\ \ ASA

d)

ΔDEGΔFGE by AAS\Delta DEG\cong\Delta FGE\ by\ \ AAS

e)

ΔDEGΔFGE by HL\Delta DEG\cong\Delta FGE\ by\ \ HL

38.

Which of the following reasons could be used to prove similarity.

a)

AA

b)

SAS

c)

SSS

d)

HL

e)

Not enough information

39.

Which of the following is true about the picture above:

a)

Triangles Similar by AA

b)

Triangles Similar by SAS

c)

Triangles Similar by SSS

d)

Triangles are Congruent by SAS

e)

Triangles are not Similar or Congruent

40.

Use the congruence statement and figure to find the missing part of the statement

a)

FS

b)

SR

c)

RF

d)

DF

e)

ED

41.

Andrew picks one marble at a time from a box and replaces it. He repeats this process 25 times and records the results in the table. Based on the table, which color marble was drawn 40% of the time.

a)

Yellow

b)

Red

c)

Blue

d)

Green

e)

Not enough information

42.

Andrew picks one marble at a time from a box and replaces it. He repeats this process 25 times and records the results in the table. Based on the table, which color marble has an experimental probability of 1/5?

(a)  

43.

The box plot below summarizes the data for the average monthly high temperatures in degrees Fahrenheit for Orlando, Florida. What was the temperature of the coldest day?

a)

71

b)

75

c)

83

d)

92

e)

Not enough information

44.

The 15 members of the French Club sold candy bars to help fund their trip to Quebec. The table below shows the number of candy bars each member sold.

When referring to the data, which statements are true check all that apply:

a)

The mode is the best measure of central tendency for the data.

b)

The data have two outliers.

c)

The median is 53.

d)

The range is 120.

e)

The mean is the best measure of central tendency for the data.

45.

What is the range score for the science test.

(a)  

46.

According to a random telephone survey of 200 adults, 75% of all working adults in the U.S. are satisfied with their current job. What is the population in this survey?

a)

200 adults

b)

adults in the U.S.

c)

75% of adults

d)

25% of unemployed adults

e)

75% of 200 adults