Download Homework # 8: Question 1 Congruent Angles a) Same size, not

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Transcript
Homework # 8:
Question 1
Congruent Angles
a) Same size, not same shape
b) Two rays extending from a common endpoint
c) To cut in half
d) Two angles that have the same measure
Question 2
Alternate interior Angles
a) The non-adjacent angles formed by the intersection of two
lines
b) Pairs of angles on the inner sides of 2 lines intersected by a
transversal, but on opposite sides of transversal.
c) Formed by two angles, the sum of whose measures is 180
degrees
d) Pairs of angles on the outer sides of 2 lines intersected by a
transversal, but on opposite sides of transversal
Question 3
Supplementary Angles
a) Formed by two angles, the sum of whose measures is 180
degrees
b) The non-adjacent angles formed by the intersection of two
lines
c) Formed by two angles, the sum of whose measures is 90
degrees
d) Two angles that have the same measure
Question 4
Complementary Angles
a) Formed by two angles, the sum of whose measures is 180
degrees
b) An angle formed by one side of a polygon and the extension
of the adjacent side
c) Formed by two angles, the sum of whose measures is 90
degrees
d) Any pair of angles with the same position, in the cluster of 4
angles formed by a transversal cutting a line
Question 5
Corresponding Angles
a) Any pair of angles with the same position, in the cluster of 4
angles formed by a transversal cutting a line
b) The non-adjacent angles formed by the intersection of two
lines
c) To cut in half
d) An angle formed by one side of a polygon and the extension
of the adjacent side
Question 6
Vertical Angles
a) Same shape
b) An angle formed by one side of a polygon and the extension
of the adjacent side
c) The non-adjacent angles formed by the intersection of two
lines
d) To cut in half
Question 7
Same-side interior angles
a) Pairs of angles on the inner sides of 2 lines intersected by a
transversal, and on the same sides of transversal.
b) Any pair of angles with the same position, in the cluster of 4
angles formed by a transversal cutting a line
c) Same shape
d) Pairs of angles between 2 lines intersected by a transversal,
but on opposite sides of transversal
Question 8
Transversal
a) Two lines, segments, or rays that intersect to form right
angles
b) To cut in half; To divide into two equal parts
c) A line that intersects a system of other lines
d) Part of a line between two defined and points
Question 9
Angles J and K are vertical angles. The measure of J is (6x-45) and the measure of K is
(4x+25). Find the measure of each angle.
a) J= 45 degrees; K= 45 degrees
b) J= 90 degrees; K= 90 degrees
c) J= 135 degrees; K= 45 degrees
d) J= 165 degrees; K= 165 degrees
Question 10
Angles 1 and 2 are complementary angles. If angle 1 = (3x+26) and angle 2 = x, find each
angle by writing and solving and equation.
a) Angle 1= 115 degrees; Angle 2= 65 degrees
b) Angle 1= 74 degrees; Angle 2= 16 degrees
c) Angle 1= 90 degrees; Angle 2= 90 degrees
d) Angle 1= 74 degrees; Angle 2= 106 degrees
Use the diagram below to answer number 11 – 16.
11) Name a transversal
a) Line x
b) Line y
c) Line z
d) None of the above.
12) Name two parallel lines
a) Lines x and y
b) Lines x and z
c) Lines y and z
d) None of the above.
13) Name two corresponding angles
a) 2 and 6
b) 7 and 6
c) 1 and 3
d) 3 and 6
14) Name two alternate interior angles
a) 2 and 6
b) 7 and 6
c) 1 and 3
d) 3 and 6
15) Name two same – side interior angles
a) 2 and 6
b) 7 and 6
c) 1 and 3
d) 3 and 6
16) Name two linear pairs
a) 2 and 6
b) 7 and 6
c) 1 and 3
d) 3 and 6
17) Find angle # 2
a) m2 = 100
b) m2 = 70
c) m2 = 90
d) m2 = 40
18) Find x
a) X = 150
b) X = 180
c) X = 90
d) X = 100
19) Find angle # 2
a) m2 = 100
b) m2 = 119
c) m2 = 90
d)
m2 = 61
20) Find mDEF
a) mDEF = 90
b) mDEF = 180
c) mDEF = 42
d)
mDEF = 62
21) If isosceles ABC has its vertex angle at C, then
A) AB  AC
B) BA  BC
C) CA  CB
D) C  B
22) DE is the mid-segment of ABC. Which of the following is
a false statement?
A) DE = 2BC
A
B) AD = EC C) 2DE = BC
E
C
D
B
D) B  C
23) DE is the mid-segment of ABC. If DE = 7.4 cm, then
A) BC = 14.8 cm
B) AD = 7.4 cm
C) AB = 14.8 cm
D) mB  14.8
A
E
C
D
B
24) DE is the mid-segment of ABC. Which of the following is
true?
A) AD = 2AB
B) BC = 2DE
C) AB = AC
D) B  C
A
E
C
D
B
25) DE is the mid-segment of ABC and mA = 90. Given
that DE = 5 cm then
A) BC = 14 cm
B) BC = 10 cm
C) BC = 8 cm
D) BC = 6 cm
E
A
D
B
C