Download Chapter 1 TEST

Geometry Chapter 1
TEST
Name ___________________________ Class ____
1. Construct the perpendicular bisector of the segment.
2. Construct
the bisector of
W
1
2
3. Construct ∠𝐴 so that 𝑚∠𝐴 = 1 𝑚∠𝑊
4. The figure is formed from rectangles. Find the total area. The diagram is not to scale.
ft
ft
ft
ft
ft
5. Find the area of the shaded region.
4 ft
14 ft
6 ft
15 ft
6. 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.
7. 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.
D
8. Name a pair of opposite rays.
C
B
A
C
9. Name all the segments in the figure.
B
A
10. What is the length of AC?
A
–10
11. What segment is congruent to
–8
–6
A
?
–8
–6
B
–4
–4
–2
0
C
2
B
C
D
E
–2
0
2
4
D
4
6
6
8
8
10
12. a. Plot the points A(8, 10) and B( –1, -2).
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.
13. What is the intersection of plane SVZ and plane VUY?
E
F
G
14. If
, find the value of FG.
The drawing is not to scale. Label your drawing before you begin.
Show all your calculations, please.
15. If
find the values of x, EF, and FG.
The drawing is not to scale. Label your drawing before you begin.
E
16. If T is the midpoint of
what are ST, TU, and SU?
F
S
T
9x
17. What are the measures of
straight.
and
U
6 x + 30
? Classify each angle as acute, right, obtuse, or
F
E
G
m
G
= _____________
It is a ____________ angle
H
m
D
= _____________
It is a ____________ angle
A
18. If
B
then what are
your drawing before you begin.
C
and
The diagram is not to scale. Label
19. If m∡𝐸𝑂𝐹 = 22 and, 𝑚∡𝐸𝑂𝐺 = 52 then what is 𝑚∡𝐹𝑂𝐺? The diagram is not to scale. Label
your drawing before you begin.
20. Name an angle complementary to ∡𝐵𝑂𝐶.
21. Name an angle vertical to ∡𝐷𝐺𝐹, and
then name an angle adjacent to ∡𝐷𝐺𝐹,
E
D
F
G
H
J
I
22. Complementary angles are two angles whose measures have a sum of __________.
23. A linear pair has e a sum of __________.
24. The measures of vertical angles are ________________________.
25. Two coplanar angles with a common side, a common vertex, and no common interior points are
called ____________________ angles.
26. Tell me at least four things you can conclude from the information in the diagram.
27. The complement of angle A is 25°. What is the measure of angle A?
28.
and
are complementary angles. m
=
, and m
measure of each angle. Sketch and label the situation before you begin.
=
. Find the
29.
and
are a linear pair.
, and
Find the measure of each angle.
Sketch and label the situation before you begin.
30.
bisects
, and 𝑚∡𝑄𝑆𝑅 = 3𝑥 − 9. ∡𝑇𝑆𝑄 = 4𝑥 − 22. Find the measure of each angle.
The diagram is not to scale. Label the drawing first.
.
31. Find the coordinates of the midpoint of the segment whose endpoints are H(12, 2) and K(20, 6).
33. M(12, 2) is the midpoint of
The coordinates of S are (18, 1). What are the coordinates of R?
34. Blanca is adding a lace border to the edge of her poster. Two sides of the poster measure 12
inches, while the other two sides measure 15.8 inches. How much lace does Blanca need? Sketch
and label the situation first.
35. Brendin wants to put a fence around his hot tub. His hot tub measures 8 feet by 10 feet. He wants
the hot tub to have a sidewalk around it that is 2.5 feet wide. How much fencing material does
Brendin need to enclose the hot tub and sidewalk? Sketch and label the situation first.
36. Find the circumference and area of the circle to the nearest tenth. Use 3.14 for .
C = ____________________
A = ____________________
37. Using the circle above, find the circumference and area in terms of .
C = ____________________
A = ____________________
10
38. Find the perimeter of
y
C
.
5
–10
A
–5
–5
–10
39. What are three other names for line p?
5
B
10 x
40. What are two other names for
K
N
2
3
M
L
41. Make an isometric drawing of the cube structure shown below.
________
1 angle bisector
A. A pair of angles who share a vertex, a ray, and
do not overlap.
________
2 postulate
B. This refers to points, line and line parts on the
same plane.
________
3 supplementary angles
________
4 linear pair
________
5 congruent
________
6 supplement
________
7 net
G. One part of an angle pair whose sum exactly
180◦
________
8 collinear
H. A two dimensional representation of a three
dimensional object.
________
9 coplanar
________ 10 adjacent angles
C. Exactly the same.
D. A line, segment or ray the divides and angle
into two congruent parts.
E. Points on the same line.
F. Two angles whose sum is exactly 180◦
I. A pair of adjacent angles whose sum is exactly
180◦
J. A notion or statement that makes so much
sense that it does not require proof.