Geometry Unit 1 Take-Home Quiz
DUE: Odds: Thursday 8/31
Name ________________________
Period:________
Describe each pattern AND find the next two terms in each sequence.
1. 6, -24, 96, -384, …
2. 1, 2, 5, 6, 9, …
Use the figure to answer Exercises 4–9.
3. Name three collinear points. ____ _____
_______
4. Name four coplanar points. _____ _____ _____ _____
5. Name a point that is noncoplanar with Plane CGH
6. Find each intersection if it exists.
A
______
E
a. Plane ABED and plane BCGD
D
B
C
J
G
b. Plane DFE and Plane HKL
F
M
H
L
K
Figure for questions 3-9
c. GC and CM
d. Plane ABD and BC
e. Plane FKL and Plane GCJ
f. Plane GCH and GH
For questions 7-9, use the figure above to decide if each statement is true or false. If false, explain why not.
7. True or False. Plane ABDE is parallel to Plane GCMH._______________________________________
8. True or False. EF is perpendicular to BC . ________________________________________
9. True or False. EF is skew to line CM . ________________________________________________
10. Finding a counterexample. The following expression leads us to believe that the sum of the squares of two
consecutive numbers is the square of the next consecutive number. Find a counterexample to this statement.
32 + 42 = 52
(3 and 4 are consecutive numbers, and 5 is the next consecutive number)
Counterexample:
For questions 11-12, use the diagram to find the following. Do not use a protractor to answer these.
11. Name a pair of supplementary angles. ___________ and __________
12. If m5  50 
a) Find m1 = ______________
b) Find
m2 = ______________
c) Find
m3 = _______________
13. Suppose MP
= 25. Use the figure to find each of the following.
a. x = ______________
b. MR = ______________
2x  6
x7
c. RP = _________________
Use the figure to find each measure in Exercises 14-16.
14.
= _____________
15.
= ______________
16.
mAOD = ______________
5x  9 8x  36
Use the Ruler Postulate to find the length of each segment using the number line below.
17. EB
18. CD
19. Are there any pairs of congruent segments? If so, make a congruence statement for the pair.
20. Suppose Point R is the midpoint of
MP. Use the figure to find MP.