Free Printable Geometry Basics and Constructions Geo EOC 40 (?)'s

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.

What is NOT the name for the plane shown? Choose all that apply

a)

Plane V

b)

Plane SQT

c)

Plane RTS

d)

Plane RQS

e)

Plane g

3.

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

4.

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

5.

Choose all the names for picture above

a)

Line AB

b)

Ray AB

c)

Line Segment BA

d)

Line Segment AB

e)

Ray BA

6.

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

7.

If DE=4x-1, EF=9 and DF=9x-22, find the value of x

(a)

8.

Which of these symbols represent this picture?

a)

$\angle$

b)

$\rightarrow$

c)

$\leftrightarrow$

d)

$\perp$

e)

$\parallel$

9.

What is the distance of segment GH:

a)

b)

c)

d)

e)

10.

Find the distance between J and K to the nearest tenth.

a)

8.2

b)

7.7

c)

9

d)

10.2

e)

68.0

11.

Find the y-coordinate of the midpoint of the line

a)

1

b)

2

c)

-2

d)

3

e)

-1

12.

Find the endpoint of the segment with the endpoint of (-4, 5) and midpoint of (7, 9)

a)

(18, 13)

b)

(13, 18)

c)

(11,4)

d)

(1.5, -2)

e)

(-15, 1)

13.

What are correct names for

\angle1

? Choose all that apply.

a)

$\angle R$

b)

$\angle SRM$

c)

$\angle SRG$

d)

$\angle MRS$

e)

$\angle XRS$

14.

Choose all pairs of vertical angles?

a)

∠COB & ∠COA

b)

∠AOD & ∠AOC

c)

∠COB & ∠AOD

d)

∠BOD & ∠AOD

e)

∠COA & ∠BOD

15.

What is the value of the larger acute angle in the picture?

a)

55

b)

90

c)

15

d)

10

e)

75

16.

What is the $m\angle1$ ?

(a)

17.

What is the relationship of the two angles shown in the picture and what is the value of x.

a)

Complementary; x=3.4

b)

Complementary; x=45

c)

Supplementary; x=20

d)

Supplementary; x=175

e)

Vertical Angles x= -5

18.

Find the value of x.

a)

74

b)

37

c)

52

d)

105

e)

75

19.

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

20.

$\angle A\ and\ \angle B\ are\ Supplementary$
$m\angle A=9x-12\ and\ m\angle B=24x+60$
$Find\ m\angle A$

a)

$24\degree$

b)

$36\degree$

c)

$156\degree$

d)

$52\degree$

e)

$4\degree$

21.

$\overrightarrow{UH}\ bi\sec ts\ \angle MUT\ and\ m\angle TUH=62\degree$
$Find\ m\angle TUM$ Draw a Picture!

(a)

22.

$\overrightarrow{QS}$ bisects $m\angle MQR$ . Find $m\angle MQR$ .

(a)

23.

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

24.

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)

25.

Which image shows the construction of a perpendicular bisector?

a)

b)

c)

d)

e)

26.

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

27.

Name the construction.

a)

Corresponding angles

b)

Parallel line to a point not on the line

c)

Perpendicular line to a point not on the line

d)

Angle bisector

e)

Alternate Interior Angles

28.

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

a)

b)

c)

d)

29.

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

30.

Name the construction.

a)

Midpoint

b)

Perpendicular through a point on the line

c)

Perpendicular through a point NOT on the line

d)

Circumcenter of a right triangle

e)

Constructing the center of the circle on the y-axis

31.

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

32.

a)

A line perpendicular to one of two parallel lines is perpendicular to the other.

b)

Two lines are perpendicular if they intersect to form congruent adjacent angles.

c)

When two lines are intersected by a traversal and alternate interior angles are congruent, the lines are parallel.

d)

When two lines are intersected by a transversal and the corresponding angles are congruent, the lines are parallel.

e)

When two lines are intersected by a traversal and same side exterior angles are congruent, the lines are parallel.

33.

Identify all the correct statement.

a)

∠C=116°

b)

∠C=64°

c)

∠C=180°

d)

∠D=64°

e)

∠D=116°

34.

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

35.

Identify all the correct statement.

a)

∠1 & ∠2

are corresponding angles

b)

∠2 & ∠4

are vertical angles

c)

∠5 & ∠8

are vertical angles

d)

∠1 & ∠5

are corresponding angles

e)

∠4 & ∠5

are alternate exterior angles

36.

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

37.

WHAT IS THE CORRECT EQUATION AND THE VALUE OF X?

a)

X=12

b)

8X - 17 + 5X +19 = 180

c)

8X - 17 = 5X +19

d)

X= 2

e)

X= 2/3

38.

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

39.

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

(a)

40.

In the diagram, which of the following statements are true, choose all that apply?

a)

∠1 and ∠4 are vertical angles

b)

∠4 and ∠5 are alternate interior angles

c)

∠1 and ∠8 are alternate interior angles

d)

∠2 and ∠8 are corresponding angles

e)

∠1 and ∠5 are corresponding angles

Geometry Basics and Constructions Geo EOC 40 (?)'s

Total questions: 40

Worksheet time: 51mins

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