Geometry Unit 1 Take-Home Test DUE WEDNESDAY JAN 13th
Name ________________________
Describe each pattern AND find the next two terms or drawings 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
Find the distance between each set of points to the nearest tenth AND the midpoint of the segment
connecting them.
17. M(-4, 11), N(-3, 4)
Distance = __________
Midpoint = __________
18. C(1, 2), D(2, 7)
Distance = __________
Midpoint = __________
19. The coordinates of the midpoint of
are (4, 4) . The coordinates of A are (2, -5). Find the coordinates of C.
C = (_________, ________)