Download Unit 1 Corrective

Name: ________________________ Class: ___________________ Date: __________
ID: A
Geometry - Chapter 1 - Corrective #1
Short Answer
1. Sketch a figure that shows two coplanar lines that do not intersect, but one of the lines is the intersection of
two planes.
2. Name two lines in the figure.
3. Name three collinear points.
4. Find the length of BD where D is the midpoint of BC .
5. D is between C and E. CE = 6x, CD = 4x + 8, and DE = 27. Find CE.
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Name: ________________________
ID: A
6. Tell whether ∠FAC and ∠3 are only adjacent, adjacent and form a linear pair, or not adjacent.
7. Find the perimeter and area of the figure.
8. The width of a rectangular mirror is
2
3
the measure of the length of the mirror. If the area is 54 in. 2 , what are
the length and width of the mirror?
9. R is the midpoint of AB. T is the midpoint of AC . S is the midpoint of BC . Use the diagram to find the
coordinates of T, the area of ∆RST, and AB. Round your answers to the nearest tenth.
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Name: ________________________
ID: A
10. m∠IJK = 57° and m∠IJL = 20°. Find m∠LJK .
11. Find the measure of the supplement of ∠R, where m∠R = (8z + 10)°
Matching
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
____ 12. two angles whose measures have a sum of 90°
____ 13. a ray that divides an angle into two congruent angles
____ 14. a pair of adjacent angles whose noncommon sides are opposite rays
____ 15. angles that have the same measure
____ 16. two angles in the same plane with a common vertex and a common side, but no common interior points
____ 17. two angles whose measures have a sum of 180°
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Name: ________________________
ID: A
Match each vocabulary term with its definition.
a. vertex
b. base
c. height
d. hypotenuse
e. perimeter
f. length
g. leg
h. area
____ 18. the number of nonoverlapping unit squares of a given size that will exactly cover the interior of a plane figure
____ 19. any side of a triangle
____ 20. the distance between the two endpoints of a segment
____ 21. one of the two sides of the right triangle that form the right angle
____ 22. the side opposite the right angle in a right triangle
____ 23. a segment from a vertex that forms a right angle with a line containing the base
Match each vocabulary term with its definition.
a. collinear
b. segment
c. line
d. plane
e. point
f. ray
g. undefined term
h. coplanar
____ 24. points that lie in the same plane
____ 25. a straight path that has no thickness and extends forever
____ 26. points that lie on the same line
____ 27. a basic figure that is not defined in terms of other figures
____ 28. a flat surface that has no thickness and extends forever
____ 29. a location that has no size
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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
____ 30. a part of a line consisting of two endpoints and all points between them
____ 31. a part of a line that starts at an endpoint and extends forever in one direction
____ 32. a point at an end of a segment or the starting point of a ray
____ 33. the common endpoint of the sides of an angle
____ 34. two rays that have a common endpoint and form a line
____ 35. a statement that is accepted as true without proof, also called an axiom
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
____ 36. a method of creating a figure that is considered to be mathematically precise
____ 37. the absolute value of the difference of the coordinates of two points
____ 38. a plane that is divided into four regions by a horizontal line called the x-axis and a vertical line called the
y-axis.
____ 39. 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
____ 40. two segments that have the same length
____ 41. a number used to identify the location of a point
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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
____ 42. a line, ray, or segment that divides a segment into two congruent segments
____ 43. the use of units to find a size or quantity
____ 44. a figure formed by two rays with a common endpoint
____ 45. to divide into two congruent parts
____ 46. the point that divides a segment into two congruent segments
____ 47. a unit of angle measure
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
____ 48. an angle formed by two opposite rays that measures 180°
____ 49. the set of all points between the sides of an angle
____ 50. an angle that measures 90°
____ 51. an angle that measures greater than 90° and less than 180°
____ 52. an angle that measures greater than 0° and less than 90°
____ 53. the nonadjacent angles formed by two intersecting lines
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Name: ________________________
ID: A
____ 54. the set of all points outside an angle
Match each vocabulary term with its definition.
a. translation
b. transformation
c. rotation
d. reflection
e. position
f. dimension
g. image
h. preimage
____ 55. a transformation across a line
____ 56. a change in the position, size, or shape of a figure
____ 57. a transformation about a point P, such that each point and its image are the same distance from P
____ 58. the original figure in a transformation
____ 59. a shape that results from a transformation of a figure
____ 60. a transformation in which all the points of a figure move the same distance in the same direction
Match each vocabulary term with its definition.
a. circumference
b. pi
c. diameter
d. area
e. circle
f. radius
g. perimeter
____ 61. the sum of the side lengths of a closed plane figure
____ 62. 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
____ 63. the distance around the circle
____ 64. a segment that passes through the center of a circle and whose endpoints are on the circle, or the length of
such a segment
____ 65. the ratio of the circumference of a circle to its diameter, denoted by the Greek letter π
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ID: A
Geometry - Chapter 1 - Corrective #1
Answer Section
SHORT ANSWER
1. ANS:
TOP: 1-1 Understanding Points, Lines, and Planes
2. ANS:
←
→
←

→
WC and CR
TOP: 1-1 Understanding Points, Lines, and Planes
3. ANS:
R, G, and N
TOP: 1-1 Understanding Points, Lines, and Planes
4. ANS:
BD = 3.5
TOP: 1-2 Measuring and Constructing Segments
5. ANS:
CE = 105
TOP: 1-2 Measuring and Constructing Segments
6. ANS:
adjacent and form a linear pair
TOP: 1-4 Pairs of Angles
7. ANS:
perimeter = 7x + 14;
area = 3x + 24
TOP: 1-5 Using Formulas in Geometry
1
ID: A
8. ANS:
length = 9 in., width = 6 in.
TOP: 1-5 Using Formulas in Geometry
9. ANS:
T(3, 1); area of ∆RST = 8; AB ≈ 8.9
TOP: 1-6 Midpoint and Distance in the Coordinate Plane
10. ANS:
m∠LJK = 37°
TOP: 1-3 Measuring and Constructing Angles
11. ANS:
(170 − 8z)°
TOP: 1-4 Pairs of Angles
MATCHING
12.
13.
14.
15.
16.
17.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
H
B
D
A
G
E
TOP:
TOP:
TOP:
TOP:
TOP:
TOP:
1-4 Pairs of Angles
1-3 Measuring and Constructing Angles
1-4 Pairs of Angles
1-3 Measuring and Constructing Angles
1-4 Pairs of Angles
1-4 Pairs of Angles
18.
19.
20.
21.
22.
23.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
H
B
F
G
D
C
TOP:
TOP:
TOP:
TOP:
TOP:
TOP:
1-5 Using Formulas in Geometry
1-5 Using Formulas in Geometry
1-2 Measuring and Constructing Segments
1-6 Midpoint and Distance in the Coordinate Plane
1-5 Using Formulas in Geometry
1-5 Using Formulas in Geometry
24.
25.
26.
27.
28.
29.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
H
C
A
G
D
E
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
30.
31.
32.
33.
34.
ANS:
ANS:
ANS:
ANS:
ANS:
H
D
G
F
B
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
2
ID: A
35. ANS: C
TOP: 1-1 Understanding Points, Lines, and Planes
36.
37.
38.
39.
40.
41.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
F
G
D
E
H
B
TOP:
TOP:
TOP:
TOP:
TOP:
TOP:
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
1-2 Measuring and Constructing Segments
42.
43.
44.
45.
46.
47.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
H
F
D
A
B
G
TOP:
TOP:
TOP:
TOP:
TOP:
TOP:
1-1 Understanding Points, Lines, and Planes
1-3 Measuring and Constructing Angles
1-3 Measuring and Constructing Angles
1-2 Measuring and Constructing Segments
1-2 Measuring and Constructing Segments
1-3 Measuring and Constructing Angles
48.
49.
50.
51.
52.
53.
54.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
G
B
F
E
D
C
A
TOP:
TOP:
TOP:
TOP:
TOP:
TOP:
TOP:
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
1-4 Pairs of Angles
1-3 Measuring and Constructing Angles
55.
56.
57.
58.
59.
60.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
D
B
C
H
G
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
61.
62.
63.
64.
65.
ANS:
ANS:
ANS:
ANS:
ANS:
G
F
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
3
Geometry - Chapter 1 - Corrective #1 [Answer Strip]
ID: A
A 54.
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H 18.
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H 30.
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H 42.
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B 19.
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D 31.
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F 43.
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F 20.
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G 32.
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D 44.
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G 21.
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F 33.
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A 45.
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D 22.
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B 34.
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B 46.
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C 23.
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C 35.
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G 47.
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D 55.
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B 56.
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C 57.
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H 58.
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G 59.
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A 60.
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H 12.
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B 13.
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D 14.
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H 24.
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F 36.
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A 15.
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G 48.
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C 25.
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G 37.
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A 26.
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D 38.
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G 16.
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B 49.
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E 17.
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G 61.
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F 62.
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F 50.
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G 27.
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E 39.
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E 51.
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D 28.
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D 52.
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E 29.
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A 63.
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C 64.
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H 40.
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C 53.
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B 41.
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B 65.
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