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Unit 1 Practice B - Wayground (extra credit)

Total questions: 100

Worksheet time: 3hrs 48mins

Name
Class
Date
1.
Which diagram shows a correct mathematical construction using only a compass and a straightedge to bisect an angle?
a)
A
b)
B
c)
C
d)
D
2.
What geometric construction is shown in the diagram below?
a)
an angle bisector
b)
a line parallel to a given line
c)
an angle congruent to a given angle
d)
a perpendicular bisector of a segment
3.
Marsha is using a straightedge and compass to do the construction shown. Which best describes the construction Marsha is doing?
a)
a line through P parallel to line l
b)
a line through P intersecting line l
c)
a line through P congruent to line l
d)
a line through P perpendicular to line l
4.
Name the construction.
a)
Angle bisector
b)
Perpendicular line to a point not on a line
c)
Perpendicular line to a point on the line
d)
Perpendicular bisector of a line segment
5.
Name the construction.
a)
Angle bisector
b)
Perpendicular line to a point not on a line
c)
Angle median
d)
Perpendicular bisector of a line segment
6.
Select the best answer choice.
a)
F
b)
G
c)
H
d)
J
7.
What is being constructed?
a)
A congruent segment
b)
Parallel Lines
c)
Perpendicular Bisector
d)
Angle Bisector
8.
Select the best answer choice.
a)
A
b)
B
c)
C
d)
D
9.
Which of the following constructions is illustrated?
a)
An angle is congruent to a given angle
b)
The bisector of a given angle
c)
The bisector of a given segment
d)
The perpendicular bisector of a given segment.
10.
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
11.
Name the construction.
a)
Angle bisector
b)
Di-sect an angle
c)
Copy an angle
d)
Vertical angles
12.
What was duplicated?
a)
line
b)
line segment
c)
ray
d)
angle
13.
What type of construction do you see?
a)
midpoint
b)
angle bisector
c)
perpendicular bisector
d)
altitude
14.
In the image, line RS is _______ to line JQ.
a)
parallel
b)
congruent
c)
similar
d)
perpendicular
15.
Which one is the correct construction for a perpendicular bisector?
a)
1
b)
2
c)
3
d)
4
16.

What does the word BISECT mean?

a)

To cut something into more than five pieces.

b)

It is a plane with two sets of wings.

c)

A shape that has three sides.

d)

To cut something into two congruent pieces or in half.

17.

When copying line segment AB using a straight edge and a compass, the compass should be used to:

a)

Draw an arc above point A

b)

Measure the length of segment AB

c)

Draw an arc between point A and point B

d)

Measure half the length of line segment AB

18.

Find the midpoint of the line segment with endpoints (-2,0) & (9,-1).

a)

(1, 3)

b)

(3.5, -.5)

c)

(-.5, 3.5)

d)

(6, -.5)

19.
Find the y-coordinate of the midpoint of the line
a)
1
b)
2
c)
-2
d)
3
20.
What is the midpoint between (3, -1) and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
21.
What is the midpoint between (3, -1) and (8, -6)
a)
(11, -7)
b)
(-5.5, -3.5)
c)
(5.5, -3.5)
d)
(2, -2)
22.
Point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). What is the point of B?
a)
(1,5)
b)
(2,10)
c)
(7,2)
d)
(1,2)
23.
Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)
a)
(-1, 13)
b)
(13, 1)
c)
(13, -1)
d)
(5, 13)
24.
What is the center of MN given M(3, -1) and N(7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
25.
What point is halfway between (3, -1) and (8, -6)?
a)
(11, -7)
b)
(-5.5, -3.5)
c)
(5.5, -3.5)
d)
(2, -2)
26.

Which of the following is the correct midpoint formula given two endpoints (x1, y1) and (x2, y2)?

a)
b)
c)
d)
27.
What is the midpoint between (-4,4) and (-2,2)?
a)
(3,2)
b)
(-3,3)
c)
(4,5)
d)
(6,7)
28.

What is the midpoint of the segment with endpoints (1, 9) and (-3, 5)?

a)

(-1, 7)

b)

(2, 7)

c)

(7, -1)

d)

(2, 2)

29.

What is the distance between AB

a)

0

b)

8

c)

9

d)

7

30.

How is the distance formula correctly written:

a)

d = (y1  y2)2 (x2  x1)2 d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\

b)

d = (x2  x1)2 + (y2  y1 )2d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)2}

c)

d = (y1  y 2)2 + (x2  x1)2d\ =\ \sqrt{\left(y_{1\ }-\ y\ _2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)}^2

d)

d = (x)2 (y)2\sqrt{\left(x\right)^2-\ \left(y\right)^2}

31.

The distance formula for the points (3,1) B(-2,-1) is written correctly as:

a)

(23)2 + (11)2\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}

b)

(13)2 + (12)2\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}

c)

(23)2  (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

d)

(23)2  (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

32.
Find the distance between the points (4, 3) and (0, 6).
a)
3
b)
4
c)
5
d)
7
33.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
34.
Find the missing endpoint  if one endpoint is at (-9, -1) and the midpoint is at (-2, -6).
a)
(5, -11)
b)
(5, -13)
c)
(-5, 11)
d)
(-5, -11)
35.
Find the missing endpoint if one endpoint is at (5, -7) and the midpoint is at (1.5, 1).
a)
(5, 7)
b)
(-2, 9)
c)
(9, -2)
d)
(1.5, -7)
36.
Find the midpoint of an imaginary diagonal AC of ABCD.
a)
(1, 3)
b)
(5, 4)
c)
(6, 4)
d)
(0, 4)
37.

What type of angles are these?

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

38.

Which angles are vertical angles?

a)

8  and 7\angle8\ \ and\ \angle7

b)

8 and 6\angle8\ and\ \angle6

c)

8 and 5\angle8\ and\ \angle5

39.

Which angle is a linear pair with 1\angle1  ?

a)

2\angle2  

b)

3\angle3  

c)

4\angle4  

d)

5\angle5  

e)

6\angle6  

40.

Which angle is a vertical angle to with 7\angle7  ?

a)

1\angle1  

b)

5\angle5  

c)

3\angle3  

d)

6\angle6  

e)

9\angle9  

41.
This is what kind of angle?
a)
obtuse
b)
right
c)
straight
d)
acute
42.

∠7 and ∠8 are _______________

a)

Vertical

b)

Nothing

c)

Adjacent

d)

Supplementary

43.

What angle is vertical to angle 2?

a)

∠4

b)

∠1

c)

∠2

d)

∠5

44.

Which are pairs of vertical angles?

a)

∠COB and ∠COA

b)

∠AOD and ∠AOC

c)

∠COB and ∠AOD

d)

∠BOD and ∠AOD

45.

Which are pairs of adjacent angles?

a)

∠COB and ∠DOA

b)

∠AOD and ∠AOC

c)

∠COB and ∠AOD

d)

∠BOD and ∠AOC

46.
Which names a pair of adjacent angles?
a)
∠CXD and ∠FXE
b)
∠CXF and ∠DXE
c)
∠CXD and ∠DXE
47.
Vertical angles are always
a)
acute
b)
total 180 degrees
c)
congruent (equal measures)
d)
adjacent angles
48.

Which angle is a linear pair with 5\angle5  ?

a)

2\angle2  

b)

3\angle3  

c)

4\angle4  

d)

9\angle9  

e)

6\angle6  

49.

What type of angles are these? (select 3)

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

50.

Supplementary angles always add up to

(a)  

51.

Complementary angles always add up to

(a)  

52.

Write an equation that correctly models the lengths shown.

a)

2x + 20 + x + 21 = 9

b)

2x + 20 + 9 = x + 21

c)

9 + x + 21 = 2x + 20

d)

2x + 20 - 9 = x + 21

53.

Write an equation that correctly models the lengths shown.

a)

3x + 2 + 6 = 2x - 2

b)

2x - 2 + 6 = 3x + 2

c)

6 - 3x - 2 = 2x - 2

d)

2x + 2 + 3x + 2 = 6

54.

Write an equation that could be used to relate the lengths shown.

a)

2x + 22 = 12

b)

12 + x + 11 = x + 11

55.

Write an equation that could be used to relate the lengths of the segments shown.

a)

8 + x + 3 = -17 + 2x

b)

x + 3 + -17 + 2x = 8

c)

8 + -17 + 2x = x + 3

56.

Write an equation that could be used to relate the lengths shown.

a)

4 + 3x + 2 = 7x - 2

b)

7x - 2 + 4 = 3x + 2

c)

7x - 2 + 3x + 2 = 4

57.

Write an equation that could be used to relate the lengths of the segments shown.

a)

9 - x = 2x - 19

b)

9 + x = 2x -19

c)

x + 2x - 19 = 9

d)

9 + 2x - 19 = x

58.

A flat surface is called a...

a)

plane

b)

line

c)

point

d)

ray

59.

Part of a line that has a beginning, but no end is called a...

a)

line segment

b)

ray

c)

angle

d)

plane

60.

A straight path with no beginning or end is a...

a)

ray

b)

line

c)

plane

d)

angle

61.

Part of a line that has a beginning and an end is called a...

a)

ray

b)

plane

c)

angle

d)

line segment

62.

A specific location in space is called a...

a)

line

b)

point

c)

line segment

d)

ray

63.
Find measurement for QT.
a)
10
b)
6
c)
-10
d)
2
64.
Find measurement for QS.
a)
7
b)
4
c)
3
d)
1
65.

Which of these is NOT a length of a segment in the picture if AC is 18?

a)

1

b)

18

c)

3

d)

17

66.

What is the length of AB?

a)

14

b)

9

c)

5

d)

4

67.

Directed line segment AB is partitioned by point P into a ratio of 1:4. Which of the following represent this relationship?

a)
b)
c)
d)
68.

Directed line segment AB is partitioned by point P into a ratio of 1:3. Which of the following represent this relationship?

a)
b)
c)
d)
69.

6) The ratio is 3:1. How many parts are there?

a)

2

b)

3

c)

4

d)

5

70.

Determine the ratio of the directed line segment AB when partitioned by point P.

a)

1:2

b)

2:1

c)

1:1

d)

3:1

e)

1:4

71.

Given the points A(-1,2) and B(7,14), find the coordinates of the Point P on the directed line segment AB that partitions AB in the ratio 1:3.


The coordinates of the point P are:

a)

(1,5)

b)

(0,4)

c)

(3, 1)

d)

(-1, 1)

72.

Find the point that is 2/5 of the distance from C to D.

a)

(-1, 2)

b)

(0, 0)

c)

(1,-2)

d)

(-2,4)

73.

(show work) Find the coordinates of P so that P partitions segment AB in the ratio 5:1 with A(2, 4) and B(8, 10).

a)

(7,9)

b)

(9,7)

c)

(-3,9)

d)

(5,1)

74.

Is the ratio of the directed line segment AB the same as segment BA when partitioned by point P?

a)

Yes

b)

No

75.

How many lines of symmetry does the letter "X" have?

a)

0

b)

1

c)

2

d)

3

76.

What type of Symmetry is shown?

a)

Reflection Symmetry

b)

Translation Symmetry

c)

Rotation Symmetry

d)

Glide-Reflection Symmetry

77.

This figure has _ fold rotation symmetry

a)

0

b)

1

c)

2

d)

3

78.

This figure has _ fold rotation symmetry

a)

4

b)

8

c)

6

d)

5

79.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

80.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

81.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

82.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

83.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

84.
Which letter does NOT have symmetry?   G   H   O   E
a)
G
b)
H
c)
O
d)
E
85.
Which letter has point (rotational) symmetry?   A     S     T     W
a)
A
b)
S
c)
T
d)
W
86.
How many lines of symmetry are in the figure?
a)
0
b)
1
c)
2
d)
3
87.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
3
d)
4
88.
Give one example of a figure having no line of symmetry but having rotational symmetry.
a)
equilateral triangle
b)
rhombus
c)
square
d)
parallelogram
89.
The playing card shown shows what kind of symmetry?
a)
Line symmetry
b)
Rotational symmetry with order 4
c)
Point symmetry
d)
No symmetry
90.
How many lines of symmetry does this shape have?
a)
0
b)
1
c)
2
d)
4
91.
How many lines of symmetry does the butterfly have?
a)
1
b)
2
c)
3
d)
4
92.
What is the angle of rotational symmetry when the order is 3?
a)
30°
b)
60°
c)
90°
d)
120°
93.

What is the order of rotational symmetry of the following figure?

a)

1

b)

3

c)

5

d)

7

94.

What is the angle of rotational symmetry?

a)

360°

b)

180°

c)

120°

d)

90°

95.
Does this image have a line of symmetry?
a)
Yes
b)
No
96.

The number of times a figure maps onto itself as it rotates from 0° to 360° is called the ____.

a)

line symmetry

b)

magnitude of symmetry

c)

rotational symmetry

d)

order of symmetry

97.
What is the order and angle of rotation of the flower?
a)
Order 6, 60 degrees
b)
Order 4, 90 degrees
c)
Order 3, 120 degrees
d)
Order 6, 254 Degrees
98.

If a figure is folded across a straight line and the halves match exactly, the fold line is called the ____.

a)

line of reflection

b)

glide reflection

c)

line of symmetry

d)

axis of symmetry

99.

1.  Find the coordinate of point B that is 1/4 of the distance from M to J.

(a)  

100.
What is the distance between -3 and -7 on a number line?
a)
10
b)
-10
c)
4
d)
-4