Unit 1 Test – Constructions
Name ___________________________
Construct the following. BE SURE TO LEAVE ALL CONSTRUCTION MARKS.
1. Construct a segment congruent to
A
that has one end point as point C.
B
C
2. Construct an angle congruent to
G
that using ray
.
•
•
M
E
T
O
3. Construct an angle bisector of the angle below.
M
•
A
•T
4. Construct the perpendicular bisector of the segment GH below.
G
H
Unit 1 Test – Constructions
5. Construct a line perpendicular to the give line through the given point.
•
B
A
•
•C
6. Construct a line parallel to the give line through the given point.
•
D
•F
E
•
7. Construct a hexagon inscribed in a circle
8. Construct a square inscribed in a circle
with a radius of 2.5 cm, with center A.
A
with a radius of 2.5 cm, with center A.
•
A
9. Dilate the ∆ABC by a scale
factor of 1.8 from point D.
B
D
●
●A
●
C
●
•
Unit 1 Test – Constructions
10. Given that WXYZ has been dilated, determine
the scale factor used to create W’X’Y’Z’
Circle One:
Reduction or
Enlargement
Scale factor:
11. Us the origin as the center of the
dilation and the given scale factor to
find the coordinates of the vertices of
the image of the polygon and draw that
image on the coordinate plane,
scale factor = 2.5.
A’ = (
B’ = (
C’ = (
D’ = (
,
,
,
,
)
)
)
)
12. Consider the following diagram:
I
x
B
12
8
20
D
C
15
H
10
G
A. If the value of x remained unknown, which angle congruence would ensure that DBC ~ IHG
by the SAS similarity rule?
Circle One:
B H
C G
D I
B. If none of the angles were known, what would the value of x need to be to ensure that DBC ~ IHG
by the SSS similarity rule?
x=
Unit 1 Test – Constructions
13. MNO is the image of ZXY under a dilation with center A and scale factor of
N
A
Z
b=
c?
X
8
8
. Find the unknown sides.
3
a=
14
a?
b?
c=
Y
O
10
M
14. Give the reason the following triangles are similar and write a similarity statement, given that
ACB  BAD , AC = 16, BC = 8, AB = 12 and AD =24.
Circle one: (show work!)
AA
SAS
SSS
Similarity Statement:
15. Give the reason the following triangles are similar and write a similarity statement, given that FG =
16, HE = 12, FGE  FEH , and FH GE
Circle one: (show work!)
AA
SAS
SSS
Similarity Statement:
16. Decide whether the two rectangular prisms are similar.
If so, find the scale factors:
Circle one:
Similar or Not Similar
Scale factor:
Unit 1 Test – Constructions
17. If the large spray bottle holds 40 fl. oz. , then how much does the smaller one
hold assuming they are similar shapes?
Scale
Factors
Similarity
Ratios
Length
Area
Volume
Volume of the smaller Spray Bottle:
2 in.
3 in.
18- 19 Given lines p and q are parallel, find the value of x that makes each diagram true.
18.
19.
(5x+4)º
q
q
(6x+10)º
(4x+30)º
(3x+24)º
p
p
Matching.
20.
1 & 3
21.
1 & 5
22.
1 & 7
23.
1 & 8
5
24.
1 & 4
7
25.
3 & 6
F. Consecutive Exterior Angles
26.
3 & 5
G. Corresponding Angles
A. Angles Alternate Interior Angles
1
2
3
4
6
8
B. Vertical Angles
C. Linear Pair
D. Consecutive Interior
E. Alternate Exterior Angles
27. If lines p and q are parallel what is the value of x?
100º
q
60º
xº
p