Name _____________________________________________
Date _______________________________
Honors Geometry Semester 1 Final Exam Review #6
1. The medians of triangle are concurrent (that means they intersect a single point). What is the name of the point where the
medians meet?
[A] incenter [B] circumcenter [C] orthocenter [D] centroid
2. If AB
= 17 and AC = 23, find BC. __6____
3. Determine which is true for a rhombus.
a. All four sides are congruent. T F
c. The diagonals are perpendicular. T F
e. Each diagonal bisects a pair of opposite angles. T F
4. If S  I and
b. All four angles are congruent. T F
d. The diagonals are congruent. T F
f. Both pairs of opposite sides are parallel. T F
SN  IC , what piece of information would you need to make VSNO VICE using ASA?
___________ N  C _
5. If two sides of a triangle are 8 and 19, find the possible lengths of the third side. 11 < 𝑠 < 27
6. Which type of quadrilateral has no parallel sides? (circle all those that apply)
RHOMBUS
TRAPEZOID
RECTANGLE
SQUARE
PARALLELOGRAM
7. Find the equation of the line parallel to y  3 x  5 that goes through
ISOSCELES TRAPEZOID
 2, 4  𝑦 =
KITE
−3𝑥 + 10
8. Which type of quadrilateral has four congruent sides? (circle all those that apply)
RHOMBUS
TRAPEZOID
RECTANGLE
SQUARE
PARALLELOGRAM
ISOSCELES TRAPEZOID
KITE
9. Find the area of a circle with radius 35 inches. 3848.45 in2
10. A rectangular pieced of French Toast measures 15cm by 11cm. If a 4cm by 6cm piece is cut out of the center, what is the
remaining area of the French Toast?
141 cm2
11. Find the distance between
12.
5,7 & 3, 4 . Leave your answer as a square root. √125_
suur
CD is the perpendicular bisector of AB . Are the following statements TRUE or FALSE?
a. AE
= EB
TRUE FALSE
b. AC
= BC
TRUE FALSE
mACB  90o
TRUE FALSE
c.
d. DB
= CB
TRUE FALSE
Honors Geometry Semester 1 Final Exam Review Guide #6 – Happy Holidays!!!
13.
VBIG VSML . mB  58o , mM  31o , BI = 8 and SL = 13.
a.
mG 91
Find the following measures.
b. BG 13
14. You need to know that the sum of a linear pair is 180 degrees.
15. You need to know the similarity and difference between parallel and skew lines. Parallel – coplanar; skew – not coplanar
16.
1& 2
are vertical angles.
2 & 3 are supplementary angles.
If m3  158 , what is
17. You need to know that parallel lines have the same slope…such as y 
18. What quadrilateral is graphed with
o
m2 ? 22
1
1
x  4 and y  x .
3
3
A  1, 1 , B  2,3 , C  6,0 , D 3, 4 ? Rectangle
19. In VZIP , ZI  IP and mZ  43 . Find
o
mP .
43
20. You need to know the REFLEXIVE PROPERTY. AB = AB
21. Which is the correct name for the ray shown at the right?
[A]
uur
CA
[B]
uuur
BC
[C]
uuur
AC
[D]
uur
BA
22. You need to know what is not a polygon. No curves, open figures, or criss-cross
23. If the area of a square is 256 square inches, find the length of one side of the square. 16in
24.
E = (-3,-1), F = (1,4), G = (2,-4). Draw EFG . Are the following points on the interior or exterior of EFG ?
a. (3,4)
INTERIOR EXTERIOR
b. (-1,-4) INTERIOR EXTERIOR
25. Find all the missing angle measures in the parallelogram.
m1 = 64 m2
= 43
m3 = 43 m4
= 73
26. Be careful with the statement …”If w  144 , then w
2
= 12.” W = -12
27. Find the measure of the midsegment of the trapezoid. 14
28. You need to know corresponding angles, AIA, AEA, CIA.
29. The midsegments of VTKE are drawn. KL = 7
CL = 9
TK = 18
30. Solve for x and y in the parallelogram at the right.
AB = 10x – 3 BC = 8y – 9
CD = 7x + 3 AD = 5y + 3
x=2,y=4
Honors Geometry Semester 1 Final Exam Review Guide #6 – Happy Holidays!!!
31. Find the value of x. 134
32. mMAT   8 x  2  and mHAT   9 x  8  and mMAH  79 .
o
Find
o
o
x then find mMAT and mHAT .
x=5
mMAT  42 mHAT  37
33. You need to know that if an altitude is exactly a side of
triangle, then that triangle is a RIGHT TRIANGLE.
34. You need to know the difference between acute (below 90) and obtuse angles. (above 90)
35. You need to know the difference between scalene (0 = sides), isosceles(2 = sides) and equilateral triangles (3 = sides).
36. You need to know that vertical angles are congruent.
37. You need to know what perpendicular means. Makes right angles
uuur
38. In the figure at the right, AT bisects MAH .
Find x then find mMAH .
mMAT  8x  13 and mHAT  11x  34 .
x=7
mMAH  86
39. You need to know corresponding angles, AIA, AEA, CIA.
40. You need to know what adjacent angles are. Share a side
41. What postulate states “If two angles form a linear pair, then they are supplementary.” Linear Pair Postulate
42. You need to know that the sum of the three angles in a triangle is 180 degrees.
43. You need to know the area formula for a trapezoid. ATRAP 
44.
1
h  b1  b2 
2
SN  NO . Which theorem proves VSNW VONW ? SAS
45. Find the area of the kite 17.5u2
46. Find the area of the triangle. 175.7u2
47. You need to know the Hinge Theorem (the bigger the angle, the bigger the side across from it).
48. You need to know the properties of the different types of quadrilaterals (parallelogram, rectangle, rhombus, etc.).
49. Find the area of the triangle with the following vetices:
3, 2 ,  2,5 ,  2, 2 . 7.5u2
50. You need to know that you use a radius for finding circumference/area of a circle. Also, that you use the base or width of a
rectangle to find its area.
Honors Geometry Semester 1 Final Exam Review Guide #6 – Happy Holidays!!!
51. If MP  NQ and MQ  NP , how is VMPQ VNQP ? SSS
52. You need to know how to find slope given two points and that perpendicular lines have slopes that are opposite reciprocals.
53. You need to know how to bisect an angle using a compass.
54. You need to know how to construct a line parallel to a given line.
55. You need to know the difference between INSRCIBED (inside) and CIRCUMSCRIBED (outside).
56. You need to know how to construct a perpendicular bisector.
57.
G is the centroid of ΔABC, AD  CB , AD = 15, CG = 13.
AG = 10_
CD = 12
GD = 5
GE = 6.5
GB = 13
AB = √369
Honors Geometry Semester 1 Final Exam Review Guide #6 – Happy Holidays!!!