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Geometry Semester 1 EOC #1

Total questions: 46

Worksheet time: 1hrs 10mins

Name
Class
Date
1.

Which of the follow is not a true statement?

a)

Line j intersects plane M only at point E

b)

Plane AED intersects line k at point E

c)

Line j is on plane M

d)

Line k is not co-planer with plane M

e)

Points B, E, and C are colinear

2.

Choose ALL the names for the picture shown above:

a)

Line AB

b)

Ray AB

c)

Line BA

d)

Line Segment AB

e)

Line Segment BA

3.

Find the y-coordinate of the midpoint of the line

a)

1

b)

2

c)

-2

d)

3

e)

-1

4.

What is the m∠1m\angle1 ?

(a)  

5.

UH→ bisec⁡ts ∠MUT and m∠TUH=62°\overrightarrow{UH}\ bi\sec ts\ \angle MUT\ and\ m\angle TUH=62\degree
Find m∠TUMFind\ m\angle TUM Draw a Picture!



(a)  

6.

Based on the construction above which of the following are always true, choose all that apply.

a)
b)

AB=CD

c)

AE=EB

d)

CE=ED

e)

AC=BC

7.

Name the pictured construction.

a)

Circled Hexagon

b)

Hexagon Inscribed in a Circle

c)

Square Inscribed in a Circle

d)

Triangle Inscribed in a Circle

e)

Circumscribed Polygon with an Inscribed Circle

8.

Identify all correct statement.

a)

∠1 & ∠8

are alternate interior angles

b)

∠2 & ∠3

are alternate interior angles

c)

∠4 & ∠5

are alternate interior angles

d)

∠7 & ∠4

are alternate interior angles

e)

∠3 & ∠6

are alternate interior angles

9.

Classifying the following the triangle as many ways as possible.

a)

Acute, Scalene

b)

Right, Scalene

c)

Obtuse, Scalene

d)

Acute, Isosceles

e)

Obtuse, Isosceles

10.

What is a possible third side to a triangle with side lengths of 13 and 4, choose all that apply?

a)

9

b)

12

c)

8

d)

5

e)

16

11.

Find the value of x.

(a)  

12.

What is the length of BC?

a)

6

b)

31

c)

29

d)

11

e)

Not enough Information

13.

Opposite Sides of this Quadrilateral are Parallel.

(Check all that apply)

a)

Parallelogram

b)

Rhombus

c)

Rectangle

d)

Square

e)

Kite

14.

Given parallelogram DEFG, find m<G.

(a)  

15.

Which of the following is NOT true for a rectangle?

a)

all four angles are right angles

b)

diagonals are perpendicular

c)

diagonals are congruent

d)

diagonals bisect each other

e)

Two sets of parallel sides

16.

Solve for the variables.

a)

g=61

b)

g=60

c)

h=9

d)

h=25

e)

g=69

17.

The diagonals of rectangle ABCD intersect at E. AE = x + 4 and CE = 3x - 12. Find BD.

(a)  

18.

How many degrees are in the missing angle?

(a)  

19.

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)

e)

Not enough information to write a rule.

20.

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

a)

(5,3), (6,2), (1,-2)

b)

(6,0), (9,-3), (-6,-15)

c)

(2/3,0), (1,-1/3), (-2/3,-5/3)

d)

(-1,-3), (0,-4), (-5,-8)

e)

Not enough information

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 y-axis, and then (x,y) --> (x-1, y+4)

22.

What is the scale factor of the transformation shown?

(a)  

23.

The rule for reflection over the x-axis is

(x, y) --> _

a)

(-x, y)

b)

(x, -y)

c)

(y, x)

d)

(-y, -x)

e)

(-x,-y)

24.

A transformation that does not change the size or shape of a pre-image (pre-image and image are congruent) is called

a)

Rigid Motion Transformation

b)

Dilation

c)

Non-Isometric

d)

Non- Rigid Motion Transformation

e)

Similar Figure Transformation

25.

What are the series of rigid motions that would map ∆ABC onto ∆A''B''C''?

a)

a reflection followed by a rotation

b)

a reflection followed by a translation

c)

a translation followed by a rotation

d)

a translation followed by a reflection

e)

a rotation followed by a translation

26.

Which of the following transformations will NOT map the regular hexagon onto itself?

a)

270 degree rotation about the origin

b)

x axis reflection

c)

y axis reflection

d)

180 degree rotation about the origin

e)

120 degree rotation about the origin

27.

which transformation will map the regular octagon onto itself?

a)

30 degree rotation about the center

b)

45 degree rotation about the center

c)

120 degree rotation about the center

d)

225 degree rotation about the center

e)

270 degree rotation about the center

28.

Which rule would result in a translation of 2 units left and 3 units up?

a)

(x, y) → (2x, 3y)

b)

(x, y) → (x - 2, y + 3)

c)

(x, y) → (3x, 2y)

d)

(x, y) → (x + 2, y - 3)

e)

(x, y) → (-2x, -3y)

29.

Which pair have a line of reflection of x = -3?

a)

A & B

b)

B & C

c)

G & H

d)

E & F

e)

D & F

30.

(6, -4) -- Dilate by 1/2 and reflect across the origin.

a)

(-3, 2)

b)

(-3, -2)

c)

(12, -8)

d)

(-12, 8)

e)

(2, -3)

31.

Which sequence of transformations will result from shape F to shape F''? Choose all that apply...

a)

Reflection over both axes

b)

Reflection, then rotation

c)

Translation, then reflection

d)

Rotation, then translation

e)

Rotation, then a reflection

32.

What is the image of point C after a dilation with a scale factor of 3? Write your answer as a coordinate with no spaces including parenthesis.

(a)  

33.

Jamie is proving that any point on the perpendicular bisector of a line segment is equidistant for the endpoints on the line segment.

a)

Jamie made his first mistake in Step 3. He cannot conclude that MP is congruent to MQ based on the fact that line MS is a bisector of PQ

b)

Jamie made his first mistake in Step 5. He used the statement he was trying to prove as a reason

c)

Jamie mad his first mistake in Step 6. The congruence statement should be Triangle SPM is congruent to triangle QSM.

d)

Jamie did not make any errors in his proof.

e)
34.

What information is missing to determine if the triangles are congruent by SAS?

a)

CA≅ NL

b)

∠C ≅ ∠N

c)

∠A ≅ ∠L

d)

∠B ≅ ∠M

e)

not enough information

35.

Choose all the sets of triangles are congruent

a)
b)
c)
d)
e)
36.

a)

Reflexsive Pr⁡operty ; SASReflexsive\ \Pr operty\ ;\ SAS

b)

Reflexsive Pr⁡operty; SSSReflexsive\ \Pr operty;\ SSS

c)

Vertical Angles; SASVertical\ Angles;\ SAS

d)

Vertical Angles; AASVertical\ Angles;\ AAS

e)

Perpendicular Lines; AASPerpendicular\ Lines;\ AAS

37.

Which of the following statements is true:

a)

ΔUXY≅ΔVXW by AA\Delta UXY\cong\Delta VXW\ by\ AA

b)

ΔYUV≅ΔWVU by AAS\Delta YUV\cong\Delta WVU\ by\ AAS

c)

ΔVUY≅ΔUVW by ASA\Delta VUY\cong\Delta UVW\ by\ ASA

d)

ΔYXU≅ΔWXV By ASA\Delta YXU\cong\Delta WXV\ By\ ASA

e)

ΔUXV≅ΔVXU by Defof Isosceles\Delta UXV\cong\Delta VXU\ by\ Defof\ Isosceles

38.
a)

b) SAS

b)

b) HL

c)

c) SAS

d)

c) HL

e)

c) CPCTC

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 AAS

e)

Triangles are not Similar or Congruent

40.
a)

x=35

b)

x=39

c)

x=46

d)

y=18

e)

y=20

41.

If an event has an experimental probability of .02, which of the following is true?

a)

The event is always going to happen

b)

The event is more likely to happen than it is to not happen

c)

The event is unlikely to happen but could

d)

The event will never happen

e)

Not enough information

42.

What is the probability of spinning blue on the spinner above?

(a)  

43.

Which statistic can not be determined from a box plot (box and whisker) representing the scores on a math test in Mrs. DeRidder’s algebra class, choose all that apply?

a)

The lowest score

b)

The highest score

c)

The median score

d)

The score that occurs the most frequently (mode)

e)

The mean score

44.

Corinne is planning a beach vacation in July and is analyzing the daily high temperatures for her potential destination. She would like to choose a destination with a high median temperature and a small interquartile range. She constructed box plots shown in the diagram above. Which destination has a median temperature above 80 degrees and the smallest interquartile range?

a)

Ocean Beach

b)

Whispering Palms

c)

Serene Shores

d)

Pelican Beach

e)

Not enough Information

45.

Are these dot plots symmetric?

a)

Both dot plots are symmetric

b)

Neither dot plot is symmetric

c)

The Gas mileage for SUV's dot plot is symmetric

d)

The Gas mileage for Cars dot plot is symmetric

e)

Not enough information

46.

Ana wants to know the average student’s opinion of the tardy policy at her school. Which group of students should she survey in order to achieve the most accurate results?

a)

thirty students who are often tardy

b)

thirty students who are rarely tardy

c)

thirty of her friends

d)

thirty randomly selected students from her school

e)

It does not matter who she surveys students are either tardy or not