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Geometry Semester #1 EOC #4

Total questions: 46

Worksheet time: 46mins

Name
Class
Date
1.

Name 4 coplanar points.

a)

H, G, K, E

b)

H, G, F, K

c)

A, K, E, D

d)

E, D, C, F

e)

B, C, D, E

2.

What is the distance of segment GH:

a)
b)
c)
d)
e)
3.

Choose all pairs of vertical angles?

a)

∠COB & ∠COA

b)

∠AOD & ∠AOC

c)

∠COB & ∠AOD

d)

∠BOD & ∠AOD

e)

∠COA & ∠BOD

4.

Choose ALL the correct answers:

a)

x=10

b)

x= 28

c)

y= 20

d)

y= 152

e)

The smaller vertical angles are both 28 degrees

5.

A straightedge and compass were used to creat the construction above. Arc EF was drawn from Point B, and arcs with equal radii were drawn from E and F. Choose all of the following that must be true.

a)
b)
c)
d)
6.

If you are going to create an inscribed square which of the following must be part of your construction?

a)

angle bisector

b)

perpendicular bisector

c)

using the length of the radius to create a flower (6 equal arcs)

d)

coping a segment

e)

creating a parallel line through a given point

7.

Name the angle relationship of angle 1 and 2 in the picture

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Corresponding Angles

d)

Vertical Angles

e)

Same Side Exterior Angles

8.

Lines r and s are cut by a transversal. What value of x proves r ∥ s?

(a)  

9.

Which would be the best classification for the triangle shown?

a)

right isosceles

b)

obtuse scalene

c)

obtuse isosceles

d)

acute scalene

e)

equilateral

10.

Find the measure of the indicated angle.

(a)  

11.

What is the value of (?)

(a)  

12.

What is the length of DF?

a)

8

b)

4

c)

25

d)

71

e)

38

13.

Consecutive Sides are Congruent.

(Check all that must apply)

a)

Parallelogram

b)

Rhombus

c)

Rectangle

d)

Square

14.

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

e)

rhombus

15.

In rhombus DOGS, DO = 2p + 9

and OG = 3p - 6.

Find GS.

(a)  

16.

Rhombus: Find the measure of ∠2:

(a)  

17.

Given parallelogram ABCD, labeled as shown. Find a and b.

a)

a = 10

b)

a = 40

c)

b=10

d)

b=40

e)

b=-10

18.

Find the measure of angle E.

(a)  

19.

Which rule would dilate shows a scale factor of 4

a)

(x, y) → (y, x)

b)

(x, y) → (x + 4, y + 4)

c)

(x, y) → (x - 4, y -4)

d)

(x, y) → (4x, 4y)

e)

(x, y) → (1/4x, 1/4y)

20.

What types of transformations happened to get from shape 1 to shape 3, choose ALL that apply.

a)

Rotation

b)

Translation

c)

Reflection

d)

Dilation

e)

Non-Rigid Transformation

21.

Describe the transformations that map ABC onto A"B"C"

a)

translate 5 up and 1 left then reflect over y

b)

translate 5 down and 1 left, then reflect over y

c)

reflect over y=x then translate left 8

d)

reflect over x then rotate 90 clockwise

e)

reflect over the x-axis then translate 4 to the right

22.

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

a)

180°

b)

360°

c)

90°

d)

No rotational symmetry

e)

72°

23.

Which rule describes the action of the coordinates when a figure is reflected over the line y = x?

a)

(x, y)→(-y, -x)

b)

(x, y)→(-x, y)

c)

(x, y)→(-x, -y)

d)

(x, y)→(y, x)

e)

(x, y)→(-y, x)

24.

A rigid motion creates figures that are ____________.

a)

congruent

b)

different sizes

c)

similar

d)

larger

e)

dilated figures

25.

Which of the following transformation will map the regular pentagon onto itself?

a)

reflection across blue line

b)

reflection across green line

c)

108 degree rotation about the origin

d)

216 degree rotation about the origin

e)

None of the transformation map onto the original penatgon

26.

Select each answer choice that will map the regular polygon onto itself?

a)

36 degree rotation

b)

90 degree rotation

c)

180 degree rotation

d)

252 degree rotation

e)

270 degree rotation

27.

Given C(2, 9), under which reflection is C'(-2, 9)?

a)

reflected in the x-axis

b)

reflected in the y-axis

c)

reflected in the line x = 2

d)

reflected in the line y = x

e)

reflected in the line y = -x

28.

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

a)

½

b)

¼

c)

4

d)

2

e)

1/6

29.

Describe the transformation from E to H. Check all that apply

a)

rotation 270° Counter-Clockwise

b)

rotation 270° Clockwise

c)

rotation 90° Counter-Clockwise

d)

reflection across y-axis

e)

rotation 90° Clockwise

30.

Which description of a figure and its image match the transformation described by (x,y)→(x,3y)

a)

The figure and it image are similar and the image has been translated 3 units up.

b)

The figure and its image are similar and the image has been translated 3 units to the right.

c)

The figure and its image are congruent and the image has been stretched horizontally.

d)

The figure and its image are are neither similar nor congruent, and the image has been stretched horizontally.

e)

The figure and its image are neither similar nor congruent, and the image has been stretched vertically.

31.

What is the transformation from Triangle ABC to Triangle A''B''C''?

a)

Reflection x-axis, then rotation of 180 Degrees

b)

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

c)

Rotation of 90 Degrees Counter-Clockwise, then reflection over x-axis

d)

Rotation of 180 Degrees, then reflection over y-axis

e)

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

32.

What type of transformation is this, and what is the rule of the transformation?

a)

translation: (x,y) --> (x+3, y+3)

b)

translation (x,y) -->(2x,2y)

c)

reflection: (x,y) --> (1/2x, 1/2y)

d)

dilation: (x,y) --> (x+3, y+3)

e)

dilation: (x,y) --> (3x, 3y)

33.

Which of the following cannot be used to prove triangles congruent?

a)

HL

b)

AAA

c)

SSS

d)

SAS

e)

SSA

34.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by SSS

d)

No, this is the SSA one!!

e)

Yes, by ASA

35.

Choose all the correct statement for the given picture:

a)

If side MN is congruent to side RS then the two triangles are congruent by SAS.

b)

If side MN is congruent to side RS then the two triangles are congruent by HL.

c)

If side NP is congruent to side ST then the two triangles are congruent by SAS.

d)

If side NP is congruent to side ST then the two triangles are congruent by HL.

e)

If angle P is congruent to angle T then the triangles would be congruent by AAS

36.

What else must be true to prove the two triangles congruent by ASA?

a)

∠A ≅ ∠C\angle A\ \cong\ \angle C

b)

∠B≅∠D\angle B\cong\angle D

c)

∠BDA≅∠DBC\angle BDA\cong\angle DBC

d)

BD‾≅BD‾\overline{BD}\cong\overline{BD}

e)

AB‾≅CD‾\overline{AB}\cong\overline{CD}

37.

Which of the following statements would be a reason used in the proof?

a)

Right angles are congruent

b)

Vertical angles are congruent

c)

ASA

d)

AAS

e)

CPCTC

38.

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

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.

What is the length of EF?

(a)  

41.

What is the probability someone will spin a number that is even or blue.

a)

0

b)

1/8

c)

1/4

d)

1/32

e)

3/4

42.

Based on the chart, what is the experimental probability of pulling a green marble or purple marble?

(a)  

43.

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

a)

71

b)

75

c)

83

d)

92

e)

Not enough information

44.

The heights, in inches, of 12 students are listed below.

59, 60, 60, 61, 61, 62, 63, 64, 65, 67, 70, 86

Which statement best describes the spread of these data?

a)

The set of data is evenly spread.

b)

The set of data is skewed because 59 is the only value below 60.

c)

The median of the data is 59.5.

d)

86 is an outlier, which would affect the standard deviation of these data

e)

Not enough information

45.

What is the mean of the data?

{10, 14, 18, 22, 26, 30, 46, 46}

(a)  

46.

Zoie completes a report by asking 70 students across campus. She found that 48% of CTMS students do not wash their hands after using the bathroom. What is the sample size?

(a)  

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