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Q1, HW #34 - Wayground - Constructions

Total questions: 83

Worksheet time: 3hrs 26mins

Name
Class
Date
1.
a)
1
b)
2
c)
3
d)
4
2.
Select the best answer choice.
a)
A
b)
B
c)
C
d)
D
3.

What must be true?

a)

1

b)

2

c)

3

d)

4

4.
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.
5.
The picture represents a compass and straightedge construction of _________?
a)
Copy an angle
b)
Bisect an angle
c)
Copy a line segment
d)
Bisect a line segment
6.
Nate is constructing angle bisector to angle ABC.  Where did he position his compass to create the two arcs that intersect at the interior of the angle?
a)
He fixed his compass on B and drew both arcs.
b)
He fixed his compass on points A and C.
c)
He fixed his compass on points D and E.
d)
He fixed his compass on points B and E.
7.

Eric was attempting to construct a perpendicular bisector to the segment AB with a compass and straight edge. Which of the below statements explains what Eric may have done wrong?

a)

Eric should have started by putting the compass needle point at the midpoint of the segment AB.

b)

On the second step, Eric should have placed the compass needle point where the first arc intersected the segment AB.

c)

Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB.

d)

Erick didn’t do anything wrong he just needs to connect the opposite endpoints of each arc to finish the construction.

8.
When constructing a line parallel to a given line, you will be
a)
copying a segment
b)
bisecting a segment
c)
copying an angle
d)
constructing a perpendicular 
9.

Which is the basis for the procedure used in the construction of a line parallel to a given line through a point not on the line?

a)

Corresponding Angles Theorem

b)

Alternate Exterior Angles Theorem

c)

Alternate Interior Angles Theorem

d)

Consecutive Interior Angles Theorem

10.
Suppose we wish to construct angle EFG congruent to angle DBC using a compass and straightedge. Which step would be correct to do first?
a)
Place the compass point at B
b)
Place the compass point at C
c)
Place the straightedge along A and C
d)
Place the straightedge along C and D
11.

Alex needs to bisect ∠ABC\angle ABC using a compass and straightedge. He starts by performing the following steps. Step 1: Place the compass on vertex B of the angle. Step 2: Draw an arc that intersects both sides of the angle. Step 3: Label these intersections as point D and point E. Step 4: ________________________________. Step 5: ________________________________. What are the next two steps Alex should take in his construction?

a)

Step 4: Adjust the compass width to be half the distance between point B and point E, and then place the compass on point E and draw an arc in the interior of the angle that crosses the other arc. Step 5: Place the compass at point D and draw an arc in the interior of the angle.

b)

Step 4: Place the compass at point D and draw an arc in the interior of the angle. Step 5: Without adjusting the compass width, place the compass at point E and draw an arc in the interior of the angle that crosses the other arc.

c)

Step 4: Adjust the compass width to be half the distance between point B and point E, and then place the compass on point E and draw an arc on the exterior of the angle. Step 5: Without adjusting the compass width, place the compass at point D and draw an arc on the exterior of the angle that is opposite the other arc.

d)

Step 4: Without adjusting the compass width, place the compass at point D and draw an arc on the exterior of the angle that is opposite the other arc. Step 5: Adjust the compass width to be half the distance between point B and point E, and then place the compass on point E and draw an arc in the interior of the angle that crosses the other arc.

12.
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
13.

Give the correct sequence of steps for inscribing an equilateral triangle in a circle.

a)

A, B, C, D, E, F

b)

D, F, A, C, B, E

c)

F, D, A, B, C, E

d)

D, A, F, B, C, E

14.

Which construction is shown?

a)

the bisector of a given angle

b)

an angle congruent to a given angle

c)

the perpendicular bisector of a line segment

d)

a perpendicular to a given line from a point not on the line

15.

Which construction is shown?

a)

the bisector of a given angle

b)

a perpendicular to a given line at a given point on the line

c)

a line parallel to a given line through a point not on the given line

d)

a perpendicular to a given line from a point not on the line

16.

Which construction is shown?

a)

the perpendicular bisector of a line segment

b)

a perpendicular to a given line at a given point on the line

c)

a line segment congruent to a given line segment

d)

a line parallel to a given line through a point not on the given line

17.

Which construction is shown?

a)

a line segment congruent to a given line segment

b)

a line parallel to a given line through a point not on the given line

c)

an angle congruent to a given angle

d)

a perpendicular to a given line from a point not on the line

18.

What is the first step in the construction?

a)

Label points E and F

b)

From E and F draw arcs that intersect segment AB

c)

Draw an arc with center at A and draw an arc with center at B

d)

Draw segment EF

19.

What is the first step in the construction?

a)

From M draw arcs that intersect line AB

b)

From A and B draw arcs that intersect at point N

c)

Draw segment NM

d)

From N draw arcs that intersect line AB

20.

Construct a line that is perpendicular to AB and passes through C. Through which other point does the perpendicular line pass?

a)

M

b)

N

c)

O

d)

P

21.

Which of the following segments is congruent to AB?

a)

AP‾\overline{AP}  

b)

AQ‾\overline{AQ}  

c)

AR‾\overline{AR}  

d)

AS‾\overline{AS}  

22.

Through which point does the bisector of ∠ABC\angle ABC  pass?

a)

P

b)

Q

c)

R

d)

S

23.

Given the final product for the Perpendicular Through a Point Not on the Line construction. Which statement is not necessarily true?

a)

ER = RFER\ =\ RF  

b)

EF = RGEF\ =\ RG  

c)

EG =GFEG\ =GF  

d)

EF ⊥ RGEF\ \perp\ RG  

24.

A free hand of a picture

a)

trace

b)

sketch

c)

construction

d)

graph

25.

A figure created with accurate measurements

a)

drawing

b)

construction

c)

sketch

d)

trace

26.

A figure created with a compass and a straight edge

a)

graph

b)

sketch

c)

construction

d)

drawing

27.

A line, ray, or segment that passes through the midpoint of a segment.

a)

angle bisector

b)

parallel line

c)

plane

d)

segment bisector

28.

Two lines that do not intersect

a)

rays that form an angle

b)

perpendicular lines

c)

parallel lines

d)

segment bisector

29.

A line, ray, or segment that cuts an angle in half

a)

perpendicular

b)

midpoint

c)

segment bisector

d)

angle bisector

30.

Every point on an angle bisector is equidistant from the sides of the angle.

a)

TRUE

b)

FALSE

31.

If a point is equally distant from the endpoints of a segment, then it must be the midpoint of a segment.

a)

TRUE

b)

FALSE

32.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
33.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
34.
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
35.
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
36.
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
37.
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
38.
What is being constructed?
a)
A congruent segment
b)
Parallel Lines
c)
Perpendicular Bisector
d)
Angle Bisector
39.
Name the construction.
a)
Angle bisector
b)
Di-sect an angle
c)
Copy an angle
d)
Vertical angles
40.
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.
41.

A geometric drawing that uses a limited set of tools like a compass or straightedge

a)

Construction

b)

Engineer

c)

Physics

d)

Kinesiology

42.

What is a protractor?

a)

a tool that measures the distance

b)

a tool that measures the speed

c)

a tool that measures angles

d)

a tool that measures a circle

43.

Which construction illustrates “copy an angle”?

a)
b)
c)
d)
44.

Which of the following is a segment?

a)
b)
c)
d)
45.

Which of these is a set of perpendicular lines?

a)
b)
c)
d)
46.

Which image shows a ray?

a)
b)
c)
d)
47.

Which image shows the construction of a perpendicular bisector?

a)
b)
c)
d)
48.

Which is the best representation of a line?

a)
b)
c)
d)
49.

Which image best represents an angle?

a)
b)
c)
d)
50.

What does this symbol mean?

≅

a)

not equal

b)

congruent

c)

equal

d)

half

51.
What is this?
a)
Compass
b)
Circle creator
c)
Pencil swingy-thing
d)
Arc maker
52.

The drawing shows a compass and straight edge construction of...what?

a)

the bisector of a given angle

b)

a perpendicular to a given line at a point on the line

c)

a perpendicular to a given line from a point NOT on the line

d)

an angle congruent to a given angle

53.

The midpoint is a point on a line segment that is the same distance from both endpoints.

a)

TRUE

b)

FALSE

54.

What are parallel lines?

a)

Intersecting lines at right angles.

b)

Lines on the same flat surface that never meet.

c)

A line segment that is divided into two equal parts.

d)

Formed when a horizontal line and vertical line intersect.

e)

They are always the same distance apart.

55.

What are perpendicular lines?

a)

Two lines that intersect at right angles.

b)

Lines on the same flat surface that never meet.

c)

A line segment that is divided into two equal parts.

d)

They are always the same distance apart.

e)

All of the above.

56.

The drawing shows a compass and straight edge construction of...what?

a)

the bisector of a given angle

b)

a perpendicular to a given line at a point on the line

c)

a perpendicular to a given line from a point NOT on the line

d)

an angle congruent to a given angle

57.

The given diagram is what kind of construction?

a)

Perpendicular bisector

b)

Congruent angles

c)

Angle bisector

d)

Congruent line segments

58.

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

59.

What is being constructed in the figure?

a)

the perpendicular bisector of line m

b)

the line perpendicular to line m through a point on the line

c)

the line parallel to line m through a point NOT on the line

d)

an angle that has line m as its bisector

60.

What was duplicated?

a)

line

b)

line segment

c)

ray

d)

angle

61.

What type of construction do you see?

a)

midpoint

b)

angle bisector

c)

perpendicular bisector

d)

altitude

62.

The drawing shows the arcs used to construct...what?

a)

a bisector of a given line

b)

a bisector of a given angle

c)

a perpendicular of a given line at a point on the line

d)

an angle congruent to a given angle

63.

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.

64.
What is this?
a)
Compass
b)
Circle creator
c)
Pencil swingy-thing
d)
Arc maker
65.
An angle that measures exactly 90°
a)
Acute Angle
b)
Right Angle
c)
Triangle
d)
Straight Angle
66.
Which one is the correct construction for a perpendicular bisector?
a)
1
b)
2
c)
3
d)
4
67.
Suppose we wish to construct angle EFG congruent to angle DBC using a compass and straightedge. Which step would be correct to do first?
a)
Place the compass point at B
b)
Place the compass point at C
c)
Place the straightedge along A and C
d)
Place the straightedge along C and D
68.
Suppose we wish to construct a perpendicular bisector of line segment EF. We can correctly begin by placing the compass point on E and marking off the distance to which point?
a)
A
b)
B
c)
C
d)
D
69.
When bisecting an angle, the straightedge should be used to:
a)
Mark the point M
b)
Measure the angle AOB
c)
Copy the angle with an arc
d)
Connect point M and vertex O
70.
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
71.
Given: angle A
What is the first step in constructing the angle bisector of angle A?
a)
Draw ray AD
b)
Draw a line segment connecting points B and C.
c)
From points B and C, draw equal arcs that intersect at D.
d)
From point A, draw an arc that intersects the sides of theangle at points B and C.
72.
Line segment AB is shown in the diagram. Which two sets of construction marks, labeled I, II , III, and IV,are part of the construction of the perpendicular bisector of line segment AB?
a)
I and II
b)
I and III
c)
II and III
d)
II and IV
73.
a)
A
b)
B
c)
C
d)
D
74.

.

.

What kind of intersecting lines are these?

a)

Parallel Lines

b)

Perpendicular Lines

c)

adjacent

d)

opposite

75.

What kind of lines are these?

a)

Parallel lines

b)

Line segments

c)

Perpendicular Lines

d)

Intersecting lines

76.

What is this?

a)

Line

b)

Parallel

c)

Point

d)

Line Segment

77.
What do you call the common endpoint of two rays? 
a)
Angle
b)
Segment
c)
Ray
d)
Vertex 
78.
What do we call a part of a line containing two endpoints and all the points between?
a)
a line
b)
a ray
c)
a line segment
d)
a plane
79.

Eric was attempting to construct a perpendicular bisector to the segment AB with a compass and straight edge. Which of the below statements explains what Eric may have done wrong?

a)

Eric should have started by putting the compass needle point at the midpoint of the segment AB.

b)

On the second step, Eric should have placed the compass needle point where the first arc intersected the segment AB.

c)

Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB.

d)

Erick didn’t do anything wrong he just needs to connect the opposite endpoints of each arc to finish the construction.

80.

What is this?

a)

ruler

b)

compass

c)

protractor

d)

straightedge

81.
Cody is constructing a line perpendicular to line  from point . Which of the following should be his first step? 
a)
A
b)
B
c)
C
d)
D
82.

What should be done next to construct a parallel line through a point?

a)

Place compass on point A and draw an arc that intersects the large arc.

b)

Place compass on point C and draw an arc that intersects the large arc.

c)

Draw the line parallel through point A and the large arc.

d)

Place compass on point B and draw an arc that intersects the large arc.

83.

The picture construction, is a picture of (a)   .

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