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Geometry
Test Review
Name ______________________
Period ___________
Date ___________
Chapter 8: Polygons and Quadrilaterals
1.6/8.1
1. How do you determine if a polygon is convex or concave?
Decide whether the figure is a polygon. Circle yes or no.
If it is a polygon, determine whether it is convex or concave and give its name based on the number of sides.
2.
3.
4.
Yes / no
Yes / no
Yes / no
Concave/convex
Concave/convex
Concave/convex
name:_____________
name:_____________
name:_____________
5. How many diagonals can you draw from one vertex of a convex heptagon?
6. The sum of the exterior angles of a convex n-gon is ___________ 
7. How do you determine the sum of the interior angles of a convex n-gon?
8. Find the measure of an interior and exterior angle of a regular octagon.
Interior: _____
exterior: _____
9. The sum of the measures of the interior angles of a convex polygon is 1260 . Find the number of sides of this
polygon and state its name.
In 10-13, find the value of x
10.
11.
12.
13.
8.2-8.3
Solve for the missing variables in the parallelograms.
14.
15.
16.
17. Find the following angles in parallelogram ABCD.
m AED
m EDC
m DAE
m DCB
8.4
18. The diagonals of rhombus MRCD intersect at N.
m MDN  ______
c) MN= _____
b) m DMR  ______
d) DN = _____
a)
Decide whether is the statement is sometimes, always, or never true.
19. A rhombus is equilateral.
22. The diagonals of a rectangle bisect each other.
20. The diagonals of a rectangle are perpendicular.
23. A square is a rectangle.
21. The opposite angles of a rhombus are
supplementary.
24. The consecutive angles of a square are
complementary.
8.5
25. Find the missing angles in the following trapezoid:
m  B  ______
m  C  ______
m  D  ______
27. KITE is a kite. Find mK and mI .
26. Find the length of the midsegment
of the trapezoid:
RT = ______
8.6
Choose the most specific name for the quadrilateral from the following: Quadrilateral, parallelogram, rectangle,
rhombus, square, kite, trapezoid.
28. Name: ______________
32. Name: _________________
29. Name: ____________
30. Name: _____________
33. Name: _________________
31. Name:______________
34. Name: _________________
36. Points A, B, C, and D are the vertices of a
quadrilateral. Give the most specific name for ABCD.
Justify your answer.
35. Find and write the coordinates of point D that
would make ABCD an Isosceles Trapezoid.
A(2, 2), B(4, 6), C(6, 5), D(4, 1)
A(-2, 3), B(-2, 1), C(3, -3), D_______
37. Complete the proof.
GIVEN: RECT is a rectangle.
PROVE:  ART   ACE
Statements
Reasons
ANSWERS ALL MIXED UP(Except for #1 and #37)
Square
10 3
No
Kite
30o
120o
53o, 127o, 127o
62, 9
87
31
80o, 124o
Yes
Concave
Hexagon
always
always
71
always
10
66
20o
Rhombus
9, nonagon
never
sometimes
Parallelogram
7, 5
(3,7)
Parallelogram
8
sometimes
rectangle
Quadrilateral
Yes
Convex
Quadrilateral
127
10
Interior: 135
Exterior: 45
Quadrilateral
4
360
(n  2)180
22
131