Download Unit 1 Review

Name: ________________________ Class: ___________________ Date: __________
ID: A
Geometry - Chapter 1 - Review
Short Answer
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1. Draw and label a pair of opposite rays FG and FH .
2. The tip of a pendulum at rest sits at point B. During an experiment, a physics student sets the pendulum in
motion. The tip of the pendulum swings back and forth along part of a circular path from point A to point C.
During each swing the tip passes through point B. Name all the angles in the diagram.
3. Find the coordinates of the midpoint of CM with endpoints C(1, –6) and M (7, 5).
4. Use the Distance Formula and the Pythagorean Theorem to find the distance, to the nearest tenth, from T(4,
–2) to U (–2, 3).
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Name: ________________________
ID: A
5. The map shows a linear section of Highway 35. Today, the Ybarras plan to drive the 360 miles from
Springfield to Junction City. They will stop for lunch in Roseburg, which is at the midpoint of the trip. If they
have already traveled 55 miles this morning, how much farther must they travel before they stop for lunch?
6. An angle measures 2 degrees more than 3 times its complement. Find the measure of its complement.
7. Find the circumference and area of the circle. Use the π key on your calculator, and round your answer to the
nearest tenth.
8. The width of a rectangular mirror is
3
4
the measure of the length of the mirror. If the area is 192 in. 2 , what are
the length and width of the mirror?
9. M is the midpoint of AN , A has coordinates (–6, –6), and M has coordinates (1, 2). Find the coordinates of N.
10. There are four fruit trees in the corners of a square backyard with 30-ft sides. What is the distance between
the apple tree A and the plum tree P to the nearest tenth?
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Name: ________________________
ID: A
11. Identify the transformation. Then use arrow notation to describe the transformation.
Matching
Match each vocabulary term with its definition.
a. vertex
b. base
c. height
d. hypotenuse
e. perimeter
f. length
g. leg
h. area
____
1. one of the two sides of the right triangle that form the right angle
____
2. the number of nonoverlapping unit squares of a given size that will exactly cover the interior of a plane figure
____
3. the distance between the two endpoints of a segment
____
4. any side of a triangle
____
5. a segment from a vertex that forms a right angle with a line containing the base
____
6. the side opposite the right angle in a right triangle
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Name: ________________________
ID: A
Match each vocabulary term with its definition.
a. circumference
b. pi
c. diameter
d. area
e. circle
f. radius
g. perimeter
____
7. a segment whose endpoints are the center of a circle and a point on the circle, or the distance from the center
of a circle to any point on the circle
____
8. the sum of the side lengths of a closed plane figure
____
9. the distance around the circle
____ 10. a segment that passes through the center of a circle and whose endpoints are on the circle, or the length of
such a segment
____ 11. the ratio of the circumference of a circle to its diameter, denoted by the Greek letter π
Match each vocabulary term with its definition.
a. collinear
b. segment
c. line
d. plane
e. point
f. ray
g. undefined term
h. coplanar
____ 12. a basic figure that is not defined in terms of other figures
____ 13. points that lie on the same line
____ 14. a flat surface that has no thickness and extends forever
____ 15. a straight path that has no thickness and extends forever
____ 16. a location that has no size
____ 17. points that lie in the same plane
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Name: ________________________
ID: A
Match each vocabulary term with its definition.
a. line
b. opposite rays
c. postulate
d. ray
e. plane
f. vertex
g. endpoint
h. segment
____ 18. a point at an end of a segment or the starting point of a ray
____ 19. a part of a line that starts at an endpoint and extends forever in one direction
____ 20. a statement that is accepted as true without proof, also called an axiom
____ 21. the common endpoint of the sides of an angle
____ 22. two rays that have a common endpoint and form a line
____ 23. a part of a line consisting of two endpoints and all points between them
Match each vocabulary term with its definition.
a. x-value
b. coordinate
c. y-value
d. coordinate plane
e. between
f. construction
g. distance
h. congruent segments
____ 24. the absolute value of the difference of the coordinates of two points
____ 25. a method of creating a figure that is considered to be mathematically precise
____ 26. given three points A, B, and C, B is between A and C if and only if all three of the points lie on the same line,
and AB + BC = AC
____ 27. a plane that is divided into four regions by a horizontal line called the x-axis and a vertical line called the
y-axis.
____ 28. a number used to identify the location of a point
____ 29. two segments that have the same length
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Name: ________________________
ID: A
Match each vocabulary term with its definition.
a. bisect
b. midpoint
c. angle bisector
d. angle
e. perpendicular bisector
f. measure
g. degree
h. segment bisector
____ 30. a unit of angle measure
____ 31. the point that divides a segment into two congruent segments
____ 32. to divide into two congruent parts
____ 33. a figure formed by two rays with a common endpoint
____ 34. the use of units to find a size or quantity
____ 35. a line, ray, or segment that divides a segment into two congruent segments
Match each vocabulary term with its definition.
a. exterior of an angle
b. interior of an angle
c. vertical angles
d. acute angle
e. obtuse angle
f. right angle
g. straight angle
h. complementary angles
i. supplementary angles
____ 36. the nonadjacent angles formed by two intersecting lines
____ 37. an angle formed by two opposite rays that measures 180°
____ 38. an angle that measures greater than 0° and less than 90°
____ 39. an angle that measures 90°
____ 40. the set of all points between the sides of an angle
____ 41. an angle that measures greater than 90° and less than 180°
____ 42. the set of all points outside an angle
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Name: ________________________
ID: A
Match each vocabulary term with its definition.
a. congruent angles
b. angle bisector
c. vertical angles
d. linear pair
e. supplementary angles
f. exterior angles
g. adjacent angles
h. complementary angles
____ 43. two angles in the same plane with a common vertex and a common side, but no common interior points
____ 44. two angles whose measures have a sum of 90°
____ 45. two angles whose measures have a sum of 180°
____ 46. a ray that divides an angle into two congruent angles
____ 47. a pair of adjacent angles whose noncommon sides are opposite rays
____ 48. angles that have the same measure
Match each vocabulary term with its definition.
a. translation
b. transformation
c. rotation
d. reflection
e. position
f. dimension
g. image
h. preimage
____ 49. a shape that results from a transformation of a figure
____ 50. the original figure in a transformation
____ 51. a transformation across a line
____ 52. a change in the position, size, or shape of a figure
____ 53. a transformation about a point P, such that each point and its image are the same distance from P
____ 54. a transformation in which all the points of a figure move the same distance in the same direction
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ID: A
Geometry - Chapter 1 - Review
Answer Section
SHORT ANSWER
1. ANS:
TOP: 1-1 Understanding Points, Lines, and Planes
2. ANS:
∠AOB, ∠COB, ∠AOC
TOP: 1-3 Measuring and Constructing Angles
3. ANS:
1
(4, − 2 )
TOP: 1-6 Midpoint and Distance in the Coordinate Plane
4. ANS:
7.8 units
TOP: 1-6 Midpoint and Distance in the Coordinate Plane
5. ANS:
125 mi
TOP: 1-2 Measuring and Constructing Segments
6. ANS:
22°
TOP: 1-4 Pairs of Angles
7. ANS:
C = 25.1 ft; A = 50.2 ft 2
TOP: 1-5 Using Formulas in Geometry
8. ANS:
length = 16 in., width = 12 in.
TOP: 1-5 Using Formulas in Geometry
9. ANS:
(8, 10)
TOP: 1-6 Midpoint and Distance in the Coordinate Plane
10. ANS:
42.4 ft
TOP: 1-6 Midpoint and Distance in the Coordinate Plane
1
ID: A
11. ANS:
The transformation is a 90° rotation. ABC → A' B' C'
TOP: 1-7 Transformations in the Coordinate Plane
MATCHING
1.
2.
3.
4.
5.
6.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
G
H
F
B
C
D
TOP:
TOP:
TOP:
TOP:
TOP:
TOP:
1-6 Midpoint and Distance in the Coordinate Plane
1-5 Using Formulas in Geometry
1-2 Measuring and Constructing Segments
1-5 Using Formulas in Geometry
1-5 Using Formulas in Geometry
1-5 Using Formulas in Geometry
7.
8.
9.
10.
11.
ANS:
ANS:
ANS:
ANS:
ANS:
F
G
A
C
B
TOP:
TOP:
TOP:
TOP:
TOP:
1-5 Using Formulas in Geometry
1-5 Using Formulas in Geometry
1-5 Using Formulas in Geometry
1-5 Using Formulas in Geometry
1-5 Using Formulas in Geometry
12.
13.
14.
15.
16.
17.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
G
A
D
C
E
H
TOP:
TOP:
TOP:
TOP:
TOP:
TOP:
1-1 Understanding Points, Lines, and Planes
1-1 Understanding Points, Lines, and Planes
1-1 Understanding Points, Lines, and Planes
1-1 Understanding Points, Lines, and Planes
1-1 Understanding Points, Lines, and Planes
1-1 Understanding Points, Lines, and Planes
18.
19.
20.
21.
22.
23.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
G
D
C
F
B
H
TOP:
TOP:
TOP:
TOP:
TOP:
TOP:
1-1 Understanding Points, Lines, and Planes
1-1 Understanding Points, Lines, and Planes
1-1 Understanding Points, Lines, and Planes
1-3 Measuring and Constructing Angles
1-1 Understanding Points, Lines, and Planes
1-1 Understanding Points, Lines, and Planes
24.
25.
26.
27.
28.
29.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
G
F
E
D
B
H
TOP:
TOP:
TOP:
TOP:
TOP:
TOP:
1-2 Measuring and Constructing Segments
1-2 Measuring and Constructing Segments
1-2 Measuring and Constructing Segments
1-6 Midpoint and Distance in the Coordinate Plane
1-2 Measuring and Constructing Segments
1-2 Measuring and Constructing Segments
30.
31.
32.
33.
34.
ANS:
ANS:
ANS:
ANS:
ANS:
G
B
A
D
F
TOP:
TOP:
TOP:
TOP:
TOP:
1-3 Measuring and Constructing Angles
1-2 Measuring and Constructing Segments
1-2 Measuring and Constructing Segments
1-3 Measuring and Constructing Angles
1-3 Measuring and Constructing Angles
2
ID: A
35. ANS: H
TOP: 1-1 Understanding Points, Lines, and Planes
36.
37.
38.
39.
40.
41.
42.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
C
G
D
F
B
E
A
TOP:
TOP:
TOP:
TOP:
TOP:
TOP:
TOP:
1-4 Pairs of Angles
1-3 Measuring and Constructing Angles
1-3 Measuring and Constructing Angles
1-3 Measuring and Constructing Angles
1-3 Measuring and Constructing Angles
1-3 Measuring and Constructing Angles
1-3 Measuring and Constructing Angles
43.
44.
45.
46.
47.
48.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
G
H
E
B
D
A
TOP:
TOP:
TOP:
TOP:
TOP:
TOP:
1-4 Pairs of Angles
1-4 Pairs of Angles
1-4 Pairs of Angles
1-3 Measuring and Constructing Angles
1-4 Pairs of Angles
1-3 Measuring and Constructing Angles
49.
50.
51.
52.
53.
54.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
G
H
D
B
C
A
TOP:
TOP:
TOP:
TOP:
TOP:
TOP:
1-7 Transformations in the Coordinate Plane
1-7 Transformations in the Coordinate Plane
1-7 Transformations in the Coordinate Plane
1-7 Transformations in the Coordinate Plane
1-7 Transformations in the Coordinate Plane
1-7 Transformations in the Coordinate Plane
3
Geometry - Chapter 1 - Review [Answer Strip]
ID: A
G 18.
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G 30.
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G 43.
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D 19.
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B 31.
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H 44.
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C 20.
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A 32.
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E 45.
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G
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8.
F 21.
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D 33.
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B 46.
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A
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9.
B 22.
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F 34.
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D 47.
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C 10.
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H 23.
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H 35.
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A 48.
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F
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7.
B 11.
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G
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1.
G 24.
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H
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2.
F
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3.
G 12.
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B
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4.
A 13.
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C
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5.
D 14.
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D
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6.
C 15.
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F 25.
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E 26.
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G 49.
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C 36.
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G 37.
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D 38.
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D 27.
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F 39.
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B 40.
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E 16.
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B 28.
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H 17.
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H 29.
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E 41.
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A 42.
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H 50.
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D 51.
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B 52.
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C 53.
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A 54.
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