Download Unit 6 Review Packet

Name______________________
Date_______________
Geometry X
Unit 6 Review for Test
SHOW SET-UP equations and their solutions or calculations for all problems.
Find the value of x in each problem below. Write your reason below.
1. Square:
2. Rectangle:
3. Parallelogram:
B
A
75
14 x + 3
16x - 9
C
AD =12x - 14
x = _______
(2x - 3)
D
BC = 10x + 2
x = _______
x = _______
5. Trapezoid:
(median given)
6. Rectangle:
Reason:
4. Rhombus:
A
4x 52
E
(3x - 1)
65
B
D
C
AE = 27; BD = 5x + 4
x = _______
Reason:
x = _______
x = _______
7. Rhombus
8. TRAP is a trapezoid. If mT=82 and mA=135,
find mP and mR.
y
37
A
P
x
R
T
P =_________
x = __________
R = ___________
y = ___________
In questions 9-11, CF is the median of each trapezoid. Don’t forget to SHOW your setup equation and work.
9.
10.
17
C
x
23
x = _______
11.
12
F
C
x+4
2x + 5
F
C
x+6
24
3x – 2
x = _______
x = _______
In questions 12-14, answer sometimes, always, never..
____________12. Opposite angles of a parallelogram are supplementary.
____________13. A trapezoid has exactly one pair of parallel sides.
____________14. The diagonals of a square are congruent.
F
In questions 15-17, circle ALL the quadrilaterals which have the stated property.
15. The diagonals bisect the angles.
a.) square
b.) rhombus
c.) rectangle
d.) parallelogram
c.) rectangle
d.) parallelogram
c.) rectangle
d.) parallelogram
16. All angles are congruent.
a.) square
b.) rhombus
17. Opposite sides are congruent.
a.) square
b.) rhombus
Determine whether there is enough information to prove each figure is a parallelogram.
If so, explain why. If not, write “Not enough Information” or “Not Possible”
18. UX = XD; QX = XA
U
A
X
Q
D
19.
33
33
20.
130
21.
140
40
45
22. In kite ABCD find the following measurements:
B
15
25
E
A
9
C
a. m BEA  ________
b. m DAE  ________
c. AD = _______
d. BD = _______
e. AE = ________________
D
23. Write the FORMULA for finding the sum of the angles of a convex polygon that
has n sides.
__________________________________
Use this to find the sum of the angles in a 14-gon.
24. The sum of the exterior angles of a convex polygon is always _________.
25. Find the value of x and y below if the polygons are REGULAR polygons.
a.
b.
x
y
x
y
26. If each exterior angle of a regular convex polygon measures 60 , find the
number of sides and tell what kind of polygon it is.
27. Determine the most precise name for each of the quadrilaterals below. Justify your
answer with math and an explanation.
a. B(-4, -5), E(1, -5), F(-2, -1), G(-7, -1)
b. B(1, 3), E(7, -3), F(1, -9), G(-5, -3)