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Name ___________________________________________
Honors Geometry Midterm Review
For 1-14, draw each of the described figures
8. Acute scalene triangle DEF
1. AB intersects DE at X
9. Obtuse isosceles triangle ABC
2. AB intersects DE at midpoint X
10. Acute isosceles triangle DEF
3. AB  bisector of DE at X
11. Right scalene triangle ABC
4. XY bisects AXB
12. Right isosceles triangle DEF
(identify legs and hypotenuse)
5. AB intersects plane P at X
13. Regular quadrilateral (with all
diagonals drawn)
6. Plane P and plane Q intersect at
AB
14. Regular hexagon (with all
diagonals drawn)
7. Obtuse scalene triangle ABC
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15. Draw the altitude for each triangle from A
A
A
A
16. Draw the median for each triangle from A
A
B
B
A
A
B
A
B
17. Draw the  bisector for each triangle for AB
A
B
B
A
Find x for each given diagram
18.
5x - 40 2x + 10
2x
x + 15
20.
19.
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m1= x + 10;
m2 = x + 30
5x - 30
2x + 15
1
2
21. m1 = 3x-10;
m2= 5x-40
25.
1
2
4x + 10
2x + 30
22.
x
26.
64
23.
2x+20
x
2x + 10
x + 10
24. mABC = 3x + 25;
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4x-30
27. Given: l || m, m1 = 105
Find all numbered angles
m 1 = _______________
t
m 2 = _______________
l
1 2
3 4
m 3 = _______________
m 4 = _______________
m 5 = _______________
m
5 6
7 8
m 6 = _______________
m 7 = _______________
m 8 = _______________
Using the same diagram
28. Name  corresponding angles _________________________________________
29. Name  alternate interior angles _______________________________________
30. Name same side interior angles _______________________________________
31. Name  alternate exterior angles ______________________________________
32. Line t is called a _________________________________
Find the indicated angles
33.
34.
70
80
y
x
x
50
140
35.
36.
y
x + 20
2x
5x - 40
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x
40
z
Given: JOB  PAY
37. Name all congruent angles __________________________________
38. Name all congruent sides ___________________________________
39. O is an included angle for _______ and ________
40. AY is an included side for _______ and ________
Are the following triangles congruent? Why or why not? (SSS, SAS, etc.)
41. Given: AC  CB; 1  2
43. Given 1  2; 3  4
C
A
X
3
1
2
1 2
4
B
44. Given: AB  CD; BM  MC
42. Given: AC  BD; AB  CD
A
B
B
M
D
A
C
D
C
45. Given: PQ  ST; PR  RT
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46. Given: EF || DG; 1  2
P
S
E
R
F
2
Q
1
T
D
G
47. Name all the ways to prove triangles congruent:
____________________________________________________________________
48. A polygon with all sides and angles congruent is called ____________________
Given a regular pentagon
49. The sum of the interior angles is _________________
50. The sum of the exterior angles is _________________
51. One exterior angle equals _______________________
52. One interior angle equals _______________________
Given a regular 18-gon
53. The sum of the interior angles is _________________
54. The sum of the exterior angles is _________________
55. One exterior angle equals _______________________
56. One interior angle equals _______________________
57. Write the converse of “If I eat garlic no one will kiss me”
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___________________________________________________________________________
_______________________________________________________________
58. Write the Inverse of “If I eat garlic no one will kiss me”
59. Write the Contrapositive of “If I eat garlic no one will kiss me”
Find the value of x in each
60.
62.
2x + 6
50
6
6
61.
8
x+ 3
10
63. mAB = 14; mAC = 8; mBC = 12;
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3x + 5
4x - 7
X is the midpoint of BC; Y is the midpoint of AB; Z is the midpoint of AC;
A
Z
Y
C
B
X
Find the measure of:
AY ______ ZC______ BX _____ YZ ______ ZX ______ YX_______
64.
D
mCXB = ________________
C
E
mDXC = ________________
70
50
140
A
mEXC = ________________
mAXD = ________________
B
180
X
65. mAXE + mEXD = _______ because of the ___________________ Postulate
66. mDXB = ½ m ___________ because of the ___________________ Theorem
67. mDXB = m ___________ because of the ___________________ Definition
68. The line segment bisecting EXB is _______________________
A
X
B
C
69. If AB  BC then B is the ___________________________ of AC
70. AX + XB = ________ because ________________________________
71. AX + _______ = AC because ___________________________________
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72. Name five ways to prove a quadrilateral is a parallelogram
1) __________________________________
2) __________________________________
3) __________________________________
4) __________________________________
5) __________________________________
73. The supplement of an angle is 140. The angle is ______________. Its complement is
____________.
74. The complement of an angle is 75. The angle is ________________. Its supplement is
_____________.
75. Explain the difference between AB and AB
76. Explain the difference between AB and BA
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