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Transcript
Name: ________________
Practice Test for unit 1 (investigation 3)
1a) What is the interior angle sum of a Explain your reasoning with work or a
regular decagon?
picture
1b) How many degrees are in one
exterior angle of a regular decagon?
Work space:
2) A triangle has sides of 4 and 8 units. Why or Why not?
The measure of the longest side is
missing. Ted says that one possibility
for the unknown side length is 12. Do
you agree with Ted?
3) Is a triangle with angle measures
35°, 75°, and 90° possible?
Explain why or why not.
4) Name each of the following angles, then give an estimate of the measures.
a
b
c
d
Name:
Name:
Name:
Name:
Measure estimate:
Measure estimate:
Measure estimate:
Measure estimate:
5) Use rectangle with the
diagonal. Find the measure of
the angle marked x. Show
your work.
The measure of angle x=
X
47
6) Use the following figure
which shows parallel lines and
a transversal. The measure
of <2 is 60°. Find the
measures of angles 1, 3, and 6.
Use the boxes below to put
your answer and to show your
work.
m<1=________
m<3=________
Explain how you found the Explain how you found
measure:
the measure:
m<6=________
Explain how you found
the measure:
7) Suppose the measure of an Draw the angles to show that you are correct.
angle is 32°. What is the
measure of its complementary
angle?
8) Suppose two angles are
supplementary and one of them
measures 38°.
What is the measure of the other
angle?
9) Draw and label a parallelogram
with two sides of length 8 cm, two
sides of length 4 cm, and angles of
70° and 110°.
10) Draw and label a triangle
ABC with AB = 9 cm,
BC = 12 cm, and <ABC = 50°.
Draw the angles to show that you are correct.
Name: ______KEY____________
Practice Test for unit 1
1a) What is the interior angle sum of a Explain your reasoning with work or a
regular decagon?
picture
(s-2) 180
1440
(10-2) 180
1440
1b) How many degrees are in one
Work space:
exterior angle of a regular decagon?
If all the angles are 1440 and there
36
are 10 angles, you need to divide:
1440 ÷10=144 this is one inside angle,
you need the supplement, so 180-144
2) A triangle has sides of 4 and 8 units. Why or Why not?
The measure of the longest side is
8+4-12 and the other side much be less
missing. Ted says that one possibility
than 12, not equal to it.
for the unknown side length is 12. Do
you agree with Ted?
NO
3) Is a triangle with angle measures
Explain why or why not.
35°, 75°, and 90° possible?
The angle measures must = 180, this
NO
equals 200
4) Name each of the following angles, then give an estimate of the measures.
a
b
c
d
Name:
Name:
Name:
Name:
acute
obtuse
acute
acute
Measure estimate:
Measure estimate:
120
Measure estimate:
10
Measure estimate:
45
30
5) Use rectangle with the
Look at the
diagonal. Find the measure of triangle only
one angel is 90
the angle marked x. Show
so 90-47
your work.
The measure of angle x=43
X
47
6) Use the following figure
which shows parallel lines and
a transversal. The measure
of <2 is 60°. Find the
measures of angles 1, 3, and 6.
60
Use the boxes below to put
your answer and to show your
work.
m<1=___120_____
Explain how you found the
measure:
Angle 1 and 2 are
supplementary so 180 - 60
m<3=___60_____
Explain how you found
the measure:
Angle 2 and 3 are
vertical, so they have the
same measure
m<6=__60______
Explain how you found
the measure:
Angle 2 and 6 are
corresponding, so they
have the same measure
(also both are acute)
7) Suppose the measure of an Draw the angles to show that you are correct.
angle is 32°. What is the
90-32=
measure of its complementary
58
angle? 58
32
8) Suppose two angles are
supplementary and one of them
measures 38°.
What is the measure of the other
angle?
142
9) Draw and label a parallelogram
with two sides of length 8 cm, two
sides of length 4 cm, and angles of
70° and 110°.
10) Draw and label a triangle
ABC with AB = 9 cm,
BC = 12 cm, and <ABC = 50°.
Draw the angles to show that you are correct.
180-38=
142
38
8cm
4cm
70
a
9cm
50
b 12cm
110
c