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Geometry Review Packet
Semester 1 Final Name_______________________
Section 1.1
1. Name all the ways you can name the following ray: 1. AB, AC
C
A B
Section 1.2
What is a(n);
2. acute angle 2. An angle less than 90 but greater than 0
3. right angle 3. An angle = 90
4. obtuse angle 4. An angle less than 180 but greater than 90
5. straight angle 5. An angle = 180
6. Change 412to degrees and minutes.
5
41°24’
A
D
7. Given: ABC is a rt.
mABD = 6721’ 37”
Find: mDBC B C
22° 38’ 23”
Section 1.3 B
8. AC must be smaller than what number? 6 10
16 A
x C
9. AC must be larger than what number?
4
1
10. Can a triangle have sides of length 12, 13, and 26?
No 12 + 13 < 26
Given: m1 = 2x + 40
m2 = 2y + 40 1 2
m3 = x + 2y 3
Find: 11. m1 = 80
12. m2 = 100
13. m3 = 80
14. EHis divided by F and G in the ratio of 5:3:2 from left to right. If EH = 30, find FG and name the
midpoint of EH.
FG = 9 F is the midpoint
Section 1.4
Graph the image of quadrilateral SKHD under the following transformations:
15. Reflect across the y-axis
16. Then reflect across the x-axis
Section 1.7
17. What is a postulate? An idea that can’t be disproven so is accepted as true.
18. What is a definition? An accepted meaning of a word or phrase.
19. What is a theorem? An idea that is provable.
2
20. Which of the above (#17-19) are reversible? Definitions
Section 1.8
21. If a conditional statement is true, then what other statement is also true?
Contrapositive
State the converse, inverse, and contrapositive for the following conditional statement:
If Cheryl is a member of the Perry basketball team, then she is a student at Perry.
22. Converse: If Cheryl is a student at Perry, then she is a member of the Perry basketball team.
23. Inverse: If Cheryl is not a member of the Perry basketball team, then she is not a student at Perry.
24. Contrapositive: If Cheryl is not a student at Perry, then she is not a member of the Perry basketball
team.
25. Place the following statements in order, showing a proper chain of reasoning. Then write a
concluding statement based upon the following information:
a b d => f or ~f => ~c
d ~c
~c a
b f
Section 2.1
A
26. If AB BC and 1, 2. and 3 are in the ratio 1
1:2:3, find the measure of each angle. 2
15, 30, 45 3
B C
Section 2.2
27. One of two complementary angles is twice the other. Find the measures of the angles.
30 and 60
28. The larger of two supplementary angles exceeds 7 times the smaller by 4. Find the measure of the
larger angle.
158
3
Section 2.5
Given: GH JK , GH = x + 10
HJ = 8, JK = 2x - 4
29. Find: GJ
32
G N
Section 2.6
30. Given: HGJ ONP
GJand NPare bisectors
mHGJ = 25 , mONR = (2x + 10)
Find: x H J K O P R
20
Section 2.8 (3x + 42)
31. Is this possible? Yes, x = -3
(4x + 45)
Section 3.2
Name the method (if any) of proving the triangles congruent. (SSS, ASA, SAS, AAS, HL)
31. 32.
SSS
CBT
33. 34.
AAS SAS
35. 36.
ASA SAS
4
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