Download Math 7 Unit I Practice Test Name: SHAPES AND DESIGNS Date

Math 7 Unit I Practice Test
SHAPES AND DESIGNS
Name: _________________
Date:___________ Hour:_______
2013-2014
SHAPES AND DESIGNS
I can accurately estimate the measure of an angle.
I can measure an angle using an angle ruler or a
protractor.
I can identify and find complementary and
supplementary angles.
I can construct polygons with specific side and
angle measures.
I can calculate the angle measures in regular
polygons.
I can find the sum of the interior angles in a
polygon
I can find missing measures of angles in a polygon.
I can identify and find the measures of exterior and
interior angles.
I can identify whether or not three lengths could
form a triangle.
I can find the measure of angles formed by a
transversal and parallel lines.
I can determine whether or not a regular polygon
will tile a flat surface.
Problem
Numbers
1-4
Points
Earned
Points
Possible
4
5-6
2
7-8
2
9
3
10
1
11-12
4
13-14
5
15-16
5
17
2
18-21
4
22
2
Percent
Correct
Scale
Score
Estimate the measures of the angles below, using common benchmark angles. (1 point each)
1)
3)
2)
4)
5) Find the measure of angle z using an angle ruler. (1 point)
z
6) Find the measure of angle x using an angle ruler. (1 point)
x
7) Suppose two angles are supplementary and one of them measures 26˚. What is the measure of the
other angle? (1 point)
8) Suppose the measure of an angle is 34 ˚. What is the measure of its complementary angle? (1 point)
9) Draw a triangle XYZ with XY = 5 cm, YZ = 4 cm, and ∠XYZ = 45 ˚. (3 points)
10) Find the measure of one interior angle of a regular dodecagon (12 sides). (1 point)
11) What is the interior angle sum of a regular hexagon? Explain your reasoning. (2 points)
12) Is a triangle with angle measure 64 ˚, 53 ˚, and 90 ˚ possible? Explain why or why not? ( 2 points)
13) Use the pentagon to find the measure of the angle marked x. Show your work. (3 points)
155º
x
155º
14) Find the measure of the angle marked x. Show your work. (2 points)
x
25º
15) How many degrees are in one exterior angle of a regular pentagon? Show your work. (2 points)
16) Use the quadrilateral below to find the measure of angle 1, 2, 3, 4. (3 points)
2
Measure of angle 1 ___________
95°
1
115°
Measure of angle 2 ___________
Measure of angle 3 ___________
Measure of angle 4 ___________
80°
70°
4
Explain how you know your answers are correct without using an angle ruler or a protractor.
3
17) A triangle has sides of 14 and 16 units. The measurement of the longest side is missing. Sally says
that one possibility for the unknown side length is 18. Do you agree with Sally? Why or why not?
(2 points)
Use the figure below which shows parallel lines and a transversal. The measure of ∠2 is 135 ˚. Find the
measures of angles 1, 3, and 6. (1 point each)
18) Measure of ∠1 = __________
1
2
3
4
19) Measure of ∠3 = __________
5
6
7
20) Measure of ∠5 = __________
21) Measure of ∠6 = __________
22) Can you use a regular triangle pictured here to tile a floor? Why or why not?
60º
8