Download Geometry Final Exam Review #1 Name: Period: Find the measure of

Geometry Final Exam Review #1
Name:
Period:
Find the measure of the unknown angle.
1. m  CFD = ______________
2. m  BFC = ______________
3. m  AFD = ______________
4. m  BFE= ________________
Find the measure of the angle.
5. m  AOB ______________
6. m  DOE _____________
7. m  EOF _____________
8. m  BOF _____________
Complete the statement with corresponding, alternate interior, alternate exterior, or
consecutive interior angles.
9.  1 and  6 are __________________________
10.  4 and  8 are __________________________
11.  2 and  5 are __________________________
12.  3 and  8 are __________________________
Find the measure of the numbered angles.
13.
14.
In the diagram, JKL  MNO. Complete the statement.
15.  N  _____________
16. JK = ______________
17. m  K = ____________
State the conjecture used to prove the triangles are congruent.
18.
19.
Complete the statement using DEF where L, M and N are midpoints of each side.
20. LN || _____________
21. MN || ____________
22. If DF = 26, then LM = ___________
23. If EM = 10, then LN = ___________
24. If perimeter of DEF = 60, then perimeter of LMN = _____________
Name the shortest and longest side of the triangle.
25.
26.
27.
28.
29.
Determine if the measures can form the sides of a triangle.
a. 70, 79, 18
b. 72, 5, 77
c. 14, 90, 25
30.
Given 2 sides of triangle, between what 2 numbers must the measure of 3rd side fall.
a. 37 and 16
b. 5 and 23
c. 41 and 28
31.
What is the longest side in the figure.
L
F
25
89
82 43
73
48
T
A
32.
What is the longest side in the figure.
I
60
T
33.
56
34
76
64
R
70
E
Classify the triangle below by its angles and sides.
50
40
34.
Classify the triangle below by its angles and sides.
98
41
35.
In ABC, mA = mB = mC, classify the triangle by its angles and sides.
36.
In isosceles triangle, GHI, I is the vertex angle and mG = 72. Find mI.
37.
In the figure below, mABD = (7x + 9), mD = (6x), and mC = (42 – 2x). Find x.
A
B
C
D
38.
Complete the congruence statement, ABC  ___________ by ____________.
B
D
C
A
39.
E
Complete the congruence statement, ABC  ___________ by ____________.
B
A
D
C
Complete the congruence statement if ADC is an isosceles triangle with vertex angle,
D, and AE  CB . ABC  ___________ by ____________ and
BA  EC by ____________
40.
B
E
D
A
C
41.
ABCD is a parallelogram. mB = (13x + 27), mC = 49. Find x.
42.
If EFGH is a parallelogram, complete each statement.
F
G
a) FEH  ______________
b) FG = _________________
c) FJ = __________________
J
E
d) HEG  ______________
H
e) mGFE + ______________ = 180
43. ABC is a triangle with three midsegments.
A
4
D
Perimeter of ABC
_________
Perimeter of DEF
_________
E
3
B
F
7
44. a. Fill in the blank.
C
z ________x
b. Fill in the blank.
x_______9
A
13
7
9
zº
D
B
xº
11
C
53º
49º
7
x
45. Write the correct notation and the inverse, converse and contrapositive of the statement
below.
If I ride on the Ferris wheel, then I am not afraid of heights.
a.
Inverse (
):
b.
Converse (
c.
Contrapositive (
):
):
46.
Write the equation of the line (in slope intercept form) that passes through the given point
and parallel/perpendicular to the given line.
a.
(8, -3); parallel to y= x – 7
3
4
b.
2
3
(-12, 3); perpendicular to y=  x + 4
47. a. To construct a circumscribed circle, you must locate the __________________________.
b. To construct an inscribed circle, you must locate the _____________________________.
c. What are the 4 triangle congruence shortcuts?__________________________________.
d. What do you call lines that are NOT in the same plane and do not intersect? __________
48. STAR is a square with diagonals that intersect at M.
a. mSAT = ____________
b. mRMS = ___________
Helpful Review for Points of Concurrency:
CENTROID




Intersection of 3 medians.
Always lies inside the triangle.
Divides the median into 2 segments where
the longer segment is twice the length of the
shorter segment.
The center of gravity or balancing point of
any triangle.
ORTHOCENTER




CIRCUMCENTER






Intersection of 3 perpendicular bisectors.
May lie outside the triangle (obtuse triangle).
May lie on the triangle (right triangle).
May lie inside the triangle (acute triangle).
Point is equidistant from all of the angles.
The point is the center of the circumscribed
circle (see below).
Intersection of 3 altitudes.
May lie outside the triangle (obtuse
triangle).
May lie on the triangle (right
triangle).
May lie inside the triangle (acute
triangle).
INCENTER




Inscribed and Circumscribed Circles
Intersection of 3 angle bisectors
Always lies inside the circle
Point is equidistant from all the
sides of the triangle (perp distance).
The point is the center of the
inscribed circle (see below).
Equilateral Triangle

All 4 points of concurrency meet at
the same point in an equilateral
traingle.