Download Geom. Unit 1 Test Review

GPS Geometry
Review Unit 1 – Geometry Gallery
Name _______________________________
1. Find LP. [Note: Figure not drawn to scale]
LP = _________
2. Opposite angles of a parallelogram are ________________________.
A. sometimes congruent
B. always congruent
C. complementary
D. supplementary
3. Given square MNOP. The perimeter of MNOP is 72cm, NO = 2x + 6. Find x.
4. Complete the congruence statement IHJ  _____ by _________.
A.
IHJ  KHJ by ASA
B.
IHJ  KJH by SAS
C.
IHJ  KHJ by HL
D.
IHJ  KJH by HL
5. The sides of a triangle are 12, 7, and x. Which of the following is a possible value for x?
A. 19
B. 5
C. 8
D. 21
6. E is the midpoint of AC and BD . Choose the true statement.
A
A. AEB  CED by ASA
B. AEB  CED by AAS
B
E
D
C. AEB  CED by SSS
D. AEB  CED by SAS
7. What is the sum of the interior angles of a dodecagon?
C
8. In CAT , mC  54 and mT  36 . What is the longest SIDE of the triangle?
9. Given the diagram as shown, list the segments AB, BC, AC, DC, and BD , in order of size from
shortest to longest.
A
B
30
D
C
10. Use the information in the diagram to solve for x. Show your work.
11. The diagonals of a quadrilateral are perpendicular to each other. What kind of quadrilateral(s) do
we have?
12. In a certain regular polygon, the measure of an interior angle is 165.6˚. How many sides does
the polygon have?
13. Find the value of each variable in the parallelogram.
14. Write the contrapositive of the following statement.
“If we go to bed late, then we will not pass the test.”
15.
Given: JL  KP , JL || KP
Prove: JLK  PKL
Complete the proof.
Statements
Reasons
1. _____________________________
1. _______________________________
2. _____________________________
2. Alternate interior angles theorem
3. _____________________________
3. _______________________________
4. _____________________________
4. _______________________________
16. Theorem: If parallel lines are cut by a transversal, then the alternate interior angles are
congruent. State the converse of the theorem.
17. Given the diagram, mH = 3x + 4 and mJ  68 . Find x.
18. Given the diagram, find m K
19. Which is the inverse of the following statement? “If it is Tuesday, then we eat pizza.”
A. If we do not eat pizza, then it is not Tuesday.
B. If we eat pizza, then it is Tuesday.
C. If it is not Tuesday, then we do not eat pizza.
D. If it is not Tuesday, then we eat lasagna.
20. Given the diagram, which theorem or postulate proves 3  7?
A. congruent complements theorem
B. side-angle-side postulate
C. vertical angles theorem
D. corresponding angles postulate
21. PQRS is a rhombus. Find m PQR
22. What is the measure of an exterior angle in a regular 16-gon?
23. Find x. Show work.
24. Find x. Show work.
25. Is it possible to make a triangle from sides of 12, 14, 15? Explain why or why not.