Download Geometry Chapter 1 TEST Name Construct the perpendicular

Geometry Chapter 1
TEST
Name __________________________
1. Construct the perpendicular bisector of the segment.
2. Construct
the bisector of
3. The figure is formed from rectangles. Find the total area. The diagram is not to scale.
4. Please find the area of the shaded region. Show all your calculations.
4 ft
14 ft
6 ft
15 ft
5. You live in Torrington, Wyoming, which has approximate (latitude, longitude) coordinates of
(41N, 112W). Your friend lives in Denver, Colorado, with coordinates of (35N, 91W). You plan
to meet halfway between the two cities. Find the coordinates of the halfway point.
6. Find the measures of PMN and NMR if
bisects PMR. The measure of PMR is 136
Draw a sketch that shows the given information. Explain your answer.
7. a. Plot the points A(9, 11) and B(–3, –5).
b. Find the distance between the two points.
c. Find midpoint M of
.
d. Find the distance between A and M.
e. Find the distance between M and B.
f. Do you expect the answers from d and e to be the same? Why or why not?
g. State if the following statement is true or false, and then justify your answer.
AM + MB = AB.
8. Name a pair of opposite rays.
D
C
B
A
C
9. Name all the segments in the figure.
B
10. What is the intersection of plane STU and plane VUY?
A
A
–10
–8
B
–6
–4
–2
0
C
2
11. What is the length of AC?
Please show me the calculation. You can verify your answer by counting =)
E
F
12. If
, find the value of FG.
The drawing is not to scale. Label your drawing before you begin.
Show all your calculations, please.
4
D
6
G
8
10
13. If
find the values of x, EF, and FG.
The drawing is not to scale. Label your drawing before you begin.
E
14. What segment is congruent to
A
?
–8
15. If T is the midpoint of
F
–6
what are ST, TU, and SU?
–4
B
C
D
E
–2
0
2
4
S
and
8
U
6 x + 30
? Classify each angle as acute, right, obtuse, or
F
E
6
T
9x
16. What are the measures of
straight.
G
m
G
= _____________
It is a ____________ angle
H
m
D
= _____________
It is a ____________ angle
A
17. If
B
then what are
your drawing before you begin.
C
and
The diagram is not to scale. Label
18. If
and
, then what is the measure of
scale. Label your drawing before you begin.
The diagram is not to
19. Name an angle supplementary to
20. Name an angle vertical to
then name an angle adjacent to
,
E
D
F
G
H
J
I
21. Supplementary angles are two angles whose measures have a sum of __________.
22. Complementary angles are two angles whose measures have a sum of __________.
23. Two angles whose sides are opposite rays are called ________________________ angles.
24. Two coplanar angles with a common side, a common vertex, and no common interior points are
called ____________________ angles.
25. What can you conclude from the information in the diagram?
26. The complement of angle A is 25°. What is the measure of angle A?
27.
and
are complementary angles. m
=
, and m
measure of each angle. Sketch and label the situation before you begin.
28.
and
are a linear pair.
, and
Find the measure of each angle.
Sketch and label the situation before you begin.
29.
bisects
, and
scale. Label the drawing first.
=
. Find the
.
. Write an expression for
. The diagram is not to
y
10
P
30. Find the midpoint of
5
31. Find PQ
–10
–5
5
10 x
–5
Q
–10
32. Find the coordinates of the midpoint of the segment whose endpoints are H(8, 2) and K(6, 10).
33. M(9, 8) is the midpoint of
The coordinates of S are (10, 10). What are the coordinates of R?
34. Shalon is adding a ribbon border to the edge of her kite. Two sides of the kite measure 9.5 inches,
while the other two sides measure 17.8 inches. How much ribbon does Shalon need? Sketch and
label the situation first.
35. Eric wants to put a fence around his rectangular garden. His garden measures 33 feet by 39 feet.
The garden has a path around it that is 3 feet wide. How much fencing material does Eric need to
enclose the garden and path? Sketch and label the situation first.
36. Find the circumference and area of the circle to the nearest tenth. Use 3.14 for .
28 m
37. Using the circle above, find the circumference and area in terms of .
10
38. Find the perimeter and area of
y
C
.
5
–10
A
–5
–5
–10
39. What are three other names for line p?
40. What are two other names for
K
N
2
3
M
L
41. Make an isometric drawing of the cube structure shown below.
5
B
10 x
A. Points on the same line.
________
1 angle bisector
________
2 postulate
________
3 supplementary angles
________
4 linear pair
________
5 congruent
B. A pair of angles who share a vertex, a
ray, and do not overlap.
C. A notion or statement that makes so
much sense that it does not require
proof.
D. A line, segment or ray the divides and
angle into two congruent parts.
E. This refers to points, line and line parts
on the same plane.
F. Two angles whose sum is exactly 180◦
________
6 supplement
________
7 net
________
8 collinear
________
9 coplanar
________
10 adjacent angles
G. A two dimensional representation of a
three dimensional object.
H. One part of an angle pair whose sum
exactly 180◦
I. A pair of adjacent angles whose sum is
exactly 180◦
J. Exactly the same.