Download North Thurston Public Schools Geometry 3 rd Quarter Review Booklet

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Transcript
NORTH THURSTON PUBLIC SCHOOLS
GEOMETRY
3RD QUARTER
REVIEW BOOKLET
Name: _________________________________________________
Date: __________________________________________________
Day 1
1.
List the properties of the diagonals of a rectangle.
2. If quadrilateral ETAG is a kite, and m2 = 82, can m1 = 47? Justify your answer.
T
8
1 2
E
3
7
6
4
A
5
G
Day 2
3. Find the measure of the interior angle “y” shown below.
y
A regular octagon
4.
Circle the quadrilaterals listed which have the property: “Opposite angles are equal”
Kite
Rhombus
Square
Isosceles Trapezoid
Parallelogram
Rectangle
10”
Day 3
35”
5. For the shape at right,
26”
a.
Find the area of the shape.
b.
Find the perimeter of the shape.
38”
6.
Find the sum of:
a. the interior angles of a 74-gon
b. the exterior angles of a 74-gon
Day 4
7. Find the area of this figure.
45
4'
5'
2'
8'
8'
3'
60
5'
8.
Fill each blank with sometimes, always or never to make each statement true
a.
The diagonals of a parallelogram ________________ bisect each other.
b.
The opposite sides of a parallelogram can __________________ have
different lengths.
c.
Parallelograms are ____________________ rectangles.
Day 5
9.
Find the area of the shaded region:
10. Find the area of the regular octagon to the right.
SHOW YOUR STEPS!
10 cm
Day 6
11. Draw a sketch of a quadrilateral with these properties: the diagonals are perpendicular
and equal in length.
12. An n-gon has interior angles which sum up to 2700°. How many sides does the n-gon have?
Day 7
13. Find the area and perimeter of the figure at right.
38
87'
93'
14. Circle the quadrilaterals listed which have the property described.
“Has at least one pair of opposite sides that are equal”
Kite
Rhombus
Square
Isosceles Trapezoid
Parallelogram
Rectangle
Day 8
15. A regular polygon has an interior angle of 170°. How many sides does the polygon
have?
16. Find the total surface area and volume of the prism shown at right.
5
6
Day 9
17. Calculate the surface area of the pyramid:
8
18. For each description of a quadrilateral below, say what special type the quadrilateral
must be and/or what special type the quadrilateral could be.
a. My quadrilateral has 2 pairs of parallel sides.
b. My quadrilateral has perpendicular diagonals and 2 pairs of equal sides.
c. My quadrilateral has 4 congruent sides.
d. My quadrilateral has congruent diagonals.
Day 10
19. Find the volume of the container shown below:
20. How many faces, edges, and vertices are on a:
a) Octagonal pyramid
b) Octagonal Prism
Day 11
21. If each exterior angle on a regular polygon has a measure of 12,
how many sides will the polygon have?
22. Calculate the volume of the container shown below:
Day 12
23. The circumference of the base of this cylinder is 12  cm.
Find the surface area of the cylinder.
11.5 cm
24. The perimeter of a regular polygon is 63 feet. An exterior angle of the polygon measures
40°. Find the length of each side.