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Constructions

Total questions: 65

Worksheet time: 2hrs 5mins

Name
Class
Date
1.
Select the best answer choice.
a)
A
b)
B
c)
C
d)
D
2.
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
3.
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.
4.
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
5.

Take a guess! Which one is the correct construction for a segment bisector?

a)

1

b)

2

c)

3

d)

4

6.

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)

Eric 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)

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

7.
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.
8.
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
9.

Based on the construction, which conclusion is not always true?

a)

A

b)

B

c)

C

d)

D

10.
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
11.
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.
12.

Based on the construction, which statement must be true?

a)

A

b)

B

c)

C

d)

D

13.

A straightedge and compass were used to create the construction. Arc EF was drawn from point B, and arcs with equal radii were drawn from E and F.

Which statement is false?

a)

A

b)

B

c)

C

d)

D

14.
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
15.

Sarah is trying to construct a triangle with sides 15cm, 9cm and 4 cm. Which of the following best explains why she is not able to construct the triangle?

a)

She is not able to make the arcs cross to mark the top corner of the triangle.

b)

It is not possible to construct a triangle when only three sides are given.

c)

She need to know an angle to be able to construct the triangle.

d)

None of these.

16.

When construcing triangles, RHS means ...

a)

Ray, hypotenuse and side

b)

Right angle, height and side

c)

Right angle, hypotenuse, side

d)

Right angle, hypotenuse, segment

e)

None of these.

17.

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

18.

What was duplicated?

a)

line

b)

line segment

c)

ray

d)

angle

19.

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

20.
What is this?
a)
Compass
b)
Circle creator
c)
Pencil swingy-thing
d)
Arc maker
21.
An angle that measures exactly 90°
a)
Acute Angle
b)
Right Angle
c)
Triangle
d)
Straight Angle
22.
Perfectly flat surface that extends forever in all directions.
a)
plane
b)
line
c)
square
d)
point
23.
Euclid
a)
American mathematician - Father of Algebra
b)
Greek mathematician - Father of Calculus
c)
Greek mathematician - Father of Geometry
d)
Greek scientist - Father of Chemistry
24.

Select all choices which could be the measure of the sides of a triangle.

a)

3in, 5in, 12in

b)

8ft, 7ft, 1ft

c)

15m, 32m, 18m

d)

5in, 9in, 6in

e)

12km, 6km, ,12km

25.

Given triangle ABC, determine the measure of angle CAB.

a)

20

b)

40

c)

60

d)

80

26.

Given the measures shown in the diagram,

which two triangles are congruent?

a)

Q and S

b)

R and T

c)

R and S

d)

Q and T

27.
What does SSS stand for?
a)
Small Small Small
b)
Side Side Side
c)
Small Side Small
d)
Sam's Silly Side
28.
What does SSS prove?
a)
Nothing
b)
Triangles similar
c)
Triangles congruent
d)
Triangle angle sum
29.
State if the two triangles are congruent.  If they are, state which theorem you would use.
a)
Yes, SAS
b)
Yes, SSS
c)
Yes, HL
d)
No
30.
a)
Congruent by HL
b)
Congruent by SAS
c)
Congruent by SSS
d)
Not Necessarily Congruent
31.
Are the two triangles congruent?
a)
Not enough information
b)
Yes, by SSA
c)
Yes by AAS
d)
Yes By ASA
32.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
ASA
d)
Not Congruent
33.
Are the triangles congruent, if yes, why?
a)
SSS
b)
ASA
c)
AAA
d)
Not Congruent
34.

Given the two triangles, which congruence statement is NOT true?

a)

AB ≅ DFAB\ \cong\ DF

b)

DE ≅ ACDE\ \cong\ AC

c)

Δ ABC ≅ ΔDFE\Delta\ ABC\ \cong\ \Delta DFE

d)

ΔABC ≅Δ DEF\Delta ABC\ \cong\Delta\ DEF

35.
A telephone booth that is 8 ft tall casts a shadow that is 4 ft long.  Find the height of a lawn ornament that casts a 2 ft shadow.
a)
4 ft
b)
2 ft
c)
8 ft
d)
6ft
36.
If a 42.9 ft tall statue casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall man casts?
a)
41.7 ft
b)
36.6 ft
c)
34.6 ft
d)
38.8 ft
37.
A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long.  How tall is the building?
a)
9 m
b)
15.2 m
c)
12 m
d)
17.5 m
38.
A map has a scale of 3 cm:18km.  If Oakdale and Woodridge are 54 km apart, then they are how far apart on the map?
a)
15 cm
b)
8.7 cm
c)
9 cm
d)
6 cm
39.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
40.
Find side length X.
a)
30
b)
25
c)
15
d)
40
41.
AB
a)
is a ray.
b)
is a line segment.
c)
is an arrow.
d)
is a polygon.
42.
A triangle with all sides in equal length is 
a)
an obtuse triangle. 
b)
a right triangle.
c)
an isosceles triangle.
d)
an equilateral triangle.
43.
These angles are...
a)
Complementary
b)
Supplementary
c)
Neither
44.
What do you call two angles whose sum is 180 degrees? 
a)
Vertical Angles
b)
Supplementary Angles
c)
Complementary Angles
d)
Adjacent Angles
45.
What do you call the common endpoint of two rays? 
a)
Angle
b)
Segment
c)
Ray
d)
Vertex 
46.

What is this?

a)

ruler

b)

compass

c)

protractor

d)

straightedge

47.

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

48.

What type of construction do you see?

a)

midpoint

b)

angle bisector

c)

perpendicular bisector

d)

altitude

49.
What is this?
a)
Compass
b)
Circle creator
c)
Pencil swingy-thing
d)
Arc maker
50.

.

.

What kind of intersecting lines are these?

a)

Parallel Lines

b)

Perpendicular Lines

c)

adjacent

d)

opposite

51.
What is a ray?
a)
Part of a line with 2 endpoints
b)
Part of a line with 1 end point and goes on forever 
c)
Part of a line with 0 endpoints
d)
Part of a line with 5 endpoints
52.
What is a line?
a)
a straight path of points that goes on and on in two directions
b)
an endless flat surface
c)
an exact location in space
d)
lines that never intersect
53.
What is a point?
a)
a straight path
b)
an exact location
c)
endless flat surface
d)
lines that cross
54.
What is the best term to describe this image?
a)
intersecting lines
b)
perpendicular lines
c)
parallel lines
d)
arrows
55.

What is the value of x and y?

a)

x=75°; y=93°

b)

x=65°;y=104°

c)

x=75°; y=94°

d)

x=65°; y=93

56.
What is the size of angle x?
a)
19o
b)
76o
c)
39o
d)
38o
57.
find the measure of angle a
a)
30
b)
21
c)
60
d)
120
58.

what are the values of c and d?

a)

c = 218, d = 71

b)

d = 109, c = 71

c)

c = 142, d = 218

d)

c = 142, d = 109

59.

What is the measure of angle c and d?

a)

c = 21, d = 50

b)

c = 63, d = 78

c)

c = 78, d = 63

d)

c = 10, d = 50

60.

What are the sizes of a and b?

a)

a = 57, b = 114

b)

a = 57, b = 57

c)

a = 114, b = 57

d)

a = 57, b = 28.5

61.

Find the value of the angle marked x....

a)

90

b)

43

c)

47

d)

53

62.

Find the value of the angle marked x....

a)

90

b)

45

c)

50

d)

100

63.

Find the value of the angle marked x....

a)

50

b)

100

c)

80

d)

90

64.

Find the value of the angle marked x....

a)

63

b)

126

c)

54

d)

90

65.
In the diagram, a tangent and a line drawn to the point of tangency form a right triangle. Solve for "?" (the length of the hypotenuse)
a)
15
b)
6
c)
-24
d)
14

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