Download Chapter 1 TEST

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.
2 ft
8 ft
2 ft
10 ft
4. Write an expression that gives the area of the shaded region in the figure below. You do not have
to evaluate the expression. The diagram is not to scale.
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. Plot the points A(9, 11) and B(–3, –5). Find midpoint M of
AM + MB = AB.
8. Name a pair of opposite rays.
D
C
B
A
9. Name all the segments in the figure.
C
B
A
10. What is the intersection of plane STU and plane VUY?
. Then show that AM = MB and
11. What is the length of AC?
A
–10
–8
B
–6
–4
12. If
–2
C
0
2
4
D
6
8
10
, find the value of FG. The drawing is not to scale.
E
F
G
13. If
to scale.
find the values of x, EF, and FG. The drawing is not
E
F
G
14. What segment is congruent to
A
–8
–6
–4
C
D
E
–2
0
2
4
15. If T is the midpoint of
S
?
B
8
what are ST, TU, and SU?
T
9x
6
U
6 x + 30
16. What are the measures of
straight.
and
? Classify each angle as acute, right, obtuse, or
F
E
G
H
D
A
B
C
17. If
then what are
18. If
scale.
and
and
The diagram is not to scale.
, then what is the measure of
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
The diagram is not to
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?
P
U
S
Q
R
T
26. The complement of an angle is 25°. What is the measure of the angle?
27.
and
are complementary angles. m
measure of each angle.
28.
and
29.
bisects
scale.
are a linear pair.
=
, and
, and
, and m
=
. Find the measure of each angle.
. Write an expression for
. The diagram is not to
y
10
P
5
30. Find the midpoint of
–10
. Find the
–5
5
10 x
–5
Q
–10
31. Find the coordinates of the midpoint of the segment whose endpoints are H(8, 2) and K(6, 10).
32. M(9, 8) is the midpoint of
The coordinates of S are (10, 10). What are the coordinates of R?
1. Ricki Alyse 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 Ricki Alyse need?
2. Brock 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 Brock need
to enclose the garden and path?
3. Find the circumference and area of the circle to the nearest tenth. Use 3.14 for .
Then find the circumference and area in terms of .
28 m
4. Find the perimeter and area of
.
10
y
C
5
–10
A
–5
–5
–10
5
B
10 x
5. Create and label a net for the following figure.
6. What are three other names for line p?
7. What are two other names for
K
N
2
3
M
L
8. Make an isometric drawing of the cube structure shown below.
A. Points on the same line.
________
________
________
________
________
1 angle bisector
2 postulate
B. A pair of angles who share a vertex, a
ray, and do not overlap.
3 supplementary angles
C. A notion or statement that makes so
much sense that it does not require
proof.
4 linear pair
D. A line, segment or ray the divides and
angle into two congruent parts.
5 congruent
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.