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Geometry Pre-AP
A.
Name____________________________
Complete each statement. You may not use SQUARE as an answer.
1.
The diagonals of a ______________________ are perpendicular bisectors of each other.
2.
The opposite angles of a parallelogram ___________________________.
3.
The diagonals of a parallelogram _______________________________.
4.
The consecutive angles of a parallelogram ___________________________________.
5.
The diagonals of a(n) ______________________ bisects the opposite angles.
6.
The diagonals of a(n) _____________________________ are equal in length.
7.
The base angles of a(n) ______________________________ are congruent.
B. Answer the following.
8. Find the sum of the interior angles of
a polygon with 12 sides
9. Find the number of sides of a polygon whose
sum of interior angles is 3060º.
10. Find the measure of an interior angle
of a polygon with 16 sides.
11. Find the number of sides of a regular polygon
with one interior angle measure of 135º.
12. Find the sum of the exterior angles
of a polygon with 24 sides.
13. Find the number of sides of a regular polygon
with an exterior angle of 2º.
14. Four of the interior angles of a pentagon have
measures of 50º, 80º, 112º, and 163º. Find the
measure of the fifth angle.
15. Find the value of x in the figure below.
(x + 50)º
(2x)º
105º
90º
(2x + 15)º
(2x)º
16. Find the measures of the numbered angles.
ABCDE is regular.
17. Find the values of x and y in the figure.
EFGH is an isosceles trapezoid
K
B
J
(4y)º
2
A
1
C
72º
E
3
5
E
4
D
(2y)º
F
H
(5x)º
(3x + 52)º
G
F
Find the measure of each numbered angle.
18.
19.
20. Find the value of x and y.
(6x + 20)º
yº
21. Find the value of a so that XYZW is isosceles.
Give your answer as a simplified radical.
Y
4xº
C. Parallelograms
X
Z
(a2 + 15)°
(2a2 - 65)°
H
1
Refer to parallelogram BFHA for the following.
22. If m  HFB = 72º , m  HAB = ________.
W
F
2
R
A
4
3
B
23. If m  4 = 42º and m  3 = 38º, m  1 = ________.
m  2 = ________.
24. If HF = 2y – 9 and AB = y + 2, HF = ___________.
25. If BR = 5x + 30 and HR = 7x, BR = _______.
26. If HR = 2a, BR = b + 3, FR = 2a – 6, and RA = 16 – a – b, find the length of each diagonal.
27. Refer to rhombus CRUD for the following.
Find the missing measures.
RU = _______
m  CDU = _______
Perimeter of CRUD = ______
m  RUD = _______
m  CSR = _______
R
RS = _______
m  CRS = _______
S
23º
C
U
D
CS = 13
RD = 12
CR = 15
US = ________
D
28. Refer to square DIRT for the following. Find the missing measures.
D
DI = ________
I
Y
m  1 = ________
m  RYT = ________
1
m  DTI = ________
R
T
Perimeter of DIRT = 32
DY = 5.7
DR = ________
TY = RY = IY = _________
E. Find the value of x for each isosceles trapezoid.
29.
9
30.
x
x
17.5
17.5
15
12
31.
(3x + 3)
(3x – 1)
(2 + 2x)
32.
(x + 2)
(4x- 4)
(5x + 2)