Download GEOMETRY QUIZ 1.2 For questions 1-4, identify the letter of the

GEOMETRY QUIZ 1.2
For questions 1-4, identify the letter of the choice that best completes the statement or answers the question.
____
1. Which diagram shows plane PQR and plane QRS intersecting only in
A.
C.
B.
____
?
D.
2. How are the two angles related?
52°
128°
Drawing not to scale
A. vertical
B. supplementary
____
C. complementary
D. adjacent
3. Two angles whose sides are opposite rays are called ____ angles. Two coplanar angles with a common side, a
common vertex, and no common interior points are called ____ angles.
A. vertical; adjacent
B. adjacent; vertical
C. vertical; supplementary
D. adjacent; complementary
____
4. In the figure shown,
. Which of the following statements is false?
Not drawn to scale
A.
B.
C.
D.
BEC and CED are adjacent angles.
AED and BEC are adjacent angles.
5. Name an angle supplementary to
(4 points)
(1 point)
6. Name an angle complementary to
(1 point)
7.
and
are complementary angles. m
angle.
8.
and
are a linear pair.
, and
=
, and m
=
. Find the measure of each
(2 points)
. Find the measure of each angle.
(2 points)
9.
bisects
and
Solve for x and find
(2 points)
10. M(9, 8) is the midpoint of
The coordinates of S are (10, 10). What are the coordinates of R?
(1 point)
11. Noam walks home from school by walking 8 blocks north and then 6 blocks east. How much shorter would
his walk be if there were a direct path from the school to his house? Assume that the blocks are square.
(2 points)
12. A high school soccer team is going to Columbus, Ohio to see a professional soccer game. A coordinate grid is
superimposed on a highway map of Ohio. The high school is at point (3, 4) and the stadium in Columbus is at
point (7, 1). The map shows a highway rest stop halfway between the cities. What are the coordinates of the
rest stop? What is the approximate distance between the high school and the stadium? (One unit 6.4 miles.)
(3 points)
13. Find the area of the figure. Leave your answer in simplest radical form if necessary.
(3 points)
14. Find the perimeter of the figure below. Leave your answer in simplest radical form if necessary. (2 points)
9 cm
8 cm
13 cm
9 cm
11 cm
15. Ken is adding a ribbon border to the edge of his kite. Two sides of the kite measure 9.5 inches, while the other
two sides measure 17.8 inches. How much ribbon does Ken need?
(1 point)
16. If the perimeter of a square is 72 inches, what is its area?
(2 points)
17. (a) Classify the figure below. (b) Find the perimeter and area of the figure.
(4 points)
y
10
5
A
–10
–5
C
B
D
5
10 x
–5
–10
18. Find the surface area and volume of the cylinder in terms of .
(3 points)
19. Find the surface area & volume of the square pyramid shown, to the nearest whole number.
(3 points)
20. Find the surface area & volume of the cone to the nearest tenth.
(3 points)
____ 21. Find the surface area & volume of the given prism. Round to the nearest tenth if necessary.
(3 points)
22. Find the surface area & volume of the sphere shown. Give each answer rounded to the nearest whole number.
(3 points)
23. Find the area of the shaded portion of the figure. Each vertex of square ABCD is at the center of a circle.
Leave your answer in terms of .
(3 points)
24. Construct
the bisector of
(2 points)
kjg
Answer Section
MULTIPLE CHOICE
1. ANS:
OBJ:
STA:
TOP:
planes
DOK:
C
PTS: 1
DIF: L2
REF: 1-2 Points, Lines, and Planes
1-2.1 Understand basic terms and postulates of geometry NAT: G.3.b| G.4.b
3108.1.4| 3108.1.6| 3108.1.14| 3108.4.6| SPI 3108.1.3| SPI 3108.1.4| SPI 3108.4.2
1-2 Problem 3 Finding the Intersection of Two Planes
KEY: plane | intersection of two
2. ANS:
OBJ:
NAT:
TOP:
DOK:
B
PTS: 1
DIF: L2
REF: 1-5 Exploring Angle Pairs
1-5.1 Identify special angle pairs and use their relationships to find angle measures
M.1.d| G.3.b STA: 3108.4.5| SPI 3108.4.2
1-5 Problem 1 Identifying Angle Pairs
KEY: supplementary angles
DOK 1
3. ANS:
OBJ:
NAT:
TOP:
DOK:
A
PTS: 1
DIF: L3
REF: 1-5 Exploring Angle Pairs
1-5.1 Identify special angle pairs and use their relationships to find angle measures
M.1.d| G.3.b STA: 3108.4.5| SPI 3108.4.2
1-5 Problem 1 Identifying Angle Pairs
KEY: adjacent angles | vertical angles
DOK 1
4. ANS:
OBJ:
NAT:
TOP:
KEY:
D
PTS: 1
DIF: L4
REF: 1-5 Exploring Angle Pairs
1-5.1 Identify special angle pairs and use their relationships to find angle measures
M.1.d| G.3.b STA: 3108.4.5| SPI 3108.4.2
1-5 Problem 1 Identifying Angle Pairs
adjacent angles | supplementary angles | vertical angles
DOK: DOK 2
5. ANS:
REF:
OBJ:
NAT:
TOP:
DOK:
B
PTS: 1
DIF: L3
1-8 Perimeter, Circumference, and Area
1-8.1 Find the perimeter or circumference of basic shapes
M.1.c| M.1.f| M.2.a| G.3.b| A.4.e
STA: SPI 3108.1.2| SPI 3108.4.7
1-8 Problem 4 Finding Area of a Rectangle
KEY: area | square
DOK 2
DOK 1
SHORT ANSWER
6. ANS:
P
G
PTS:
OBJ:
NAT:
TOP:
DOK:
Q R
S
H
1
DIF: L3
REF: 1-6 Basic Constructions
1-6.1 Make basic constructions using a straightedge and a compass
G.1.d| G.3.b STA: 3108.4.21| 3108.4.22
1-6 Problem 1 Constructing Congruent Segments
KEY: segment | construction
DOK 2
7. ANS:
PTS: 1
DIF: L3
REF: 1-6 Basic Constructions
OBJ: 1-6.1 Make basic constructions using a straightedge and a compass
NAT: G.1.d| G.3.b STA: 3108.4.21| 3108.4.22
TOP: 1-6 Problem 3 Construct the Perpendicular Bisector
KEY: perpendicular bisector |
construction
DOK: DOK 2
8. ANS:
PTS:
OBJ:
NAT:
TOP:
DOK:
1
DIF: L2
REF: 1-6 Basic Constructions
1-6.1 Make basic constructions using a straightedge and a compass
G.1.d| G.3.b STA: 3108.4.21| 3108.4.22
1-6 Problem 4 Constructing the Angle Bisector
KEY: angle bisector | construction
DOK 2
9. ANS:
The three segments are
PTS:
OBJ:
STA:
TOP:
DOK:
.
1
DIF: L3
REF: 1-2 Points, Lines, and Planes
1-2.1 Understand basic terms and postulates of geometry NAT: G.3.b| G.4.b
3108.1.4| 3108.1.6| 3108.1.14| 3108.4.6| SPI 3108.1.3| SPI 3108.1.4| SPI 3108.4.2
1-2 Problem 2 Naming Segments and Rays
KEY: segment
DOK 1
10. ANS:
PTS: 1
DIF: L3
REF: 1-4 Measuring Angles
OBJ: 1-4.1 Find and compare the measures of angles
NAT: M.1.d| G.3.b
STA: SPI 3108.4.2
TOP: 1-4 Problem 2 Measuring and Classifying Angles
KEY: acute angle | right angle | obtuse angle
DOK: DOK 2
11. ANS:
PTS:
OBJ:
STA:
KEY:
1
DIF: L3
REF: 1-4 Measuring Angles
1-4.1 Find and compare the measures of angles
NAT: M.1.d| G.3.b
SPI 3108.4.2
TOP: 1-4 Problem 3 Using Congruent Angles
congruent angles
DOK: DOK 2
12. ANS:
PTS:
OBJ:
NAT:
TOP:
DOK:
1
DIF: L3
REF: 1-5 Exploring Angle Pairs
1-5.1 Identify special angle pairs and use their relationships to find angle measures
M.1.d| G.3.b STA: 3108.4.5| SPI 3108.4.2
1-5 Problem 1 Identifying Angle Pairs
KEY: supplementary angles
DOK 1
13. ANS:
PTS:
OBJ:
NAT:
TOP:
DOK:
1
DIF: L3
REF: 1-5 Exploring Angle Pairs
1-5.1 Identify special angle pairs and use their relationships to find angle measures
M.1.d| G.3.b STA: 3108.4.5| SPI 3108.4.2
1-5 Problem 1 Identifying Angle Pairs
KEY: supplementary angles
DOK 1
14. ANS:
= 52,
PTS:
OBJ:
NAT:
TOP:
DOK:
= 38
1
DIF: L3
REF: 1-5 Exploring Angle Pairs
1-5.1 Identify special angle pairs and use their relationships to find angle measures
M.1.d| G.3.b STA: 3108.4.5| SPI 3108.4.2
1-5 Problem 3 Finding Missing Angle Measures
KEY: complementary angles
DOK 2
15. ANS:
PTS:
OBJ:
NAT:
TOP:
pair
DOK:
1
DIF: L3
REF: 1-5 Exploring Angle Pairs
1-5.1 Identify special angle pairs and use their relationships to find angle measures
M.1.d| G.3.b STA: 3108.4.5| SPI 3108.4.2
1-5 Problem 3 Finding Missing Angle Measures
KEY: supplementary angles| linear
DOK 2
16. ANS:
x = 14,
PTS: 1
DIF: L3
REF: 1-5 Exploring Angle Pairs
OBJ:
NAT:
TOP:
KEY:
1-5.1 Identify special angle pairs and use their relationships to find angle measures
M.1.d| G.3.b STA: 3108.4.5| SPI 3108.4.2
1-5 Problem 4 Using an Angle Bisector to Find Angle Measures
angle bisector
DOK: DOK 2
17. ANS:
(8, 6)
PTS:
OBJ:
STA:
KEY:
1
DIF: L3
REF: 1-7 Midpoint and Distance in the Coordinate Plane
1-7.1 Find the midpoint of a segment
NAT: G.3.b| G.4.a
3108.1.2| 3108.3.2| 3108.3.4
TOP: 1-7 Problem 2 Finding an Endpoint
coordinate plane | Midpoint Formula
DOK: DOK 2
18. ANS:
4 blocks
PTS:
OBJ:
NAT:
KEY:
DOK:
1
DIF: L3
REF: 1-7 Midpoint and Distance in the Coordinate Plane
1-7.2 Find the distance between two points in the coordinate plane
G.3.b| G.4.a STA: 3108.1.2| 3108.3.2| 3108.3.4
TOP: 1-7 Problem 4 Finding Distance
coordinate plane | Distance Formula | word problem | problem solving
DOK 2
19. ANS:
, 32 miles
PTS:
OBJ:
NAT:
KEY:
DOK:
1
DIF: L3
REF: 1-7 Midpoint and Distance in the Coordinate Plane
1-7.2 Find the distance between two points in the coordinate plane
G.3.b| G.4.a STA: 3108.1.2| 3108.3.2| 3108.3.4
TOP: 1-7 Problem 4 Finding Distance
Distance Formula | coordinate plane | word problem | problem solving | midpoint
DOK 2
20. ANS:
54.6 in.
PTS:
OBJ:
NAT:
TOP:
KEY:
1
DIF: L3
REF: 1-8 Perimeter, Circumference, and Area
1-8.1 Find the perimeter or circumference of basic shapes
M.1.c| M.1.f| M.2.a| G.3.b| A.4.e
STA: SPI 3108.1.2| SPI 3108.4.7
1-8 Problem 1 Finding the Perimeter of a Rectangle
perimeter | problem solving | word problem
DOK: DOK 1
21. ANS:
22 units
PTS:
OBJ:
NAT:
TOP:
KEY:
1
DIF: L3
REF: 1-8 Perimeter, Circumference, and Area
1-8.1 Find the perimeter or circumference of basic shapes
M.1.c| M.1.f| M.2.a| G.3.b| A.4.e
STA: SPI 3108.1.2| SPI 3108.4.7
1-8 Problem 3 Finding Perimeter in the Coordinate Plane
perimeter | coordinate plane | Distance Formula
DOK: DOK 2
22. ANS:
PTS:
OBJ:
NAT:
TOP:
DOK:
1
DIF: L2
REF: 1-8 Perimeter, Circumference, and Area
1-8.1 Find the perimeter or circumference of basic shapes
M.1.c| M.1.f| M.2.a| G.3.b| A.4.e
STA: SPI 3108.1.2| SPI 3108.4.7
1-8 Problem 6 Finding Area of an Irregular Shape
KEY: rectangle | area
DOK 2
23. ANS:
68
PTS:
OBJ:
NAT:
TOP:
DOK:
1
DIF: L2
REF: 1-8 Perimeter, Circumference, and Area
1-8.1 Find the perimeter or circumference of basic shapes
M.1.c| M.1.f| M.2.a| G.3.b| A.4.e
STA: SPI 3108.1.2| SPI 3108.4.7
1-8 Problem 6 Finding Area of an Irregular Shape
KEY: area | rectangle
DOK 2
24. ANS:
42.1
PTS:
OBJ:
NAT:
TOP:
DOK:
1
DIF: L3
REF: 1-8 Perimeter, Circumference, and Area
1-8.1 Find the perimeter or circumference of basic shapes
M.1.c| M.1.f| M.2.a| G.3.b| A.4.e
STA: SPI 3108.1.2| SPI 3108.4.7
1-8 Problem 6 Finding Area of an Irregular Shape
KEY: circle | square | area
DOK 2