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Honors Geometry
Review Sheet Unit 1
I. True/False
Name______________________
________1. EF is in plane Y.
________2. Plane X intersects plane Y in CD .
________3. C, G, D, and H are non-coplanar points.
X
________4. Point D is in planes X and Y.
________5. GH lies in both planes.
G

A

E
________6. EF and GH intersect each other.
________7. AB and GH intersect each other.

M
C

F

________8. Points A, M and D are non-coplanar.
D

B
Y
J
H
________9. Points C, M and D are collinear.
________10. Plane X has four edges.
________11. Points A and H are collinear.
________12. CD is in both planes X and Y.
________13. AJ lies in plane Y.
________14. It is possible for a line and a point not on the line to be in more than one plane.
________15. It is possible for 3 collinear points to be in many different planes.
II. What kind and how many points does it take to determine:
____________________________________One line
____________________________________One plane
____________________________________Space
Q
R
III. True/False Use the diagram at the right.
_________1. Point U is the endpoint of QS .
U
_________2. QS bisects RT .
_________3. RT is a bisector of QS .
_________4. QU + US = SQ.
T
S
_________5. UQ and US are opposite rays.
_________6. QU and TS do not intersect, but QU and TS would.
_________7. If RT was a bisector of QS , then U would be the midpoint of RT .
_________8. TU  RU
J
IV. Use the number line to answer 1 – 3.

_________1. JM = __.
-10
_________2. Find x if M is the midpoint of LN .
_________3. What is the coordinate of the midpoint of KM ?
V. Fill in the blank or True or False using the line to the right:
_____1. EO and OE are opposite rays.
|
L

3
K

-1
|
G
E
|
O
|
M

18
M
|
N

x
T
|
R
_____2. Point O lies on GE .
_____3. GM and GR name the same ray.
____6. The ray opposite of TG is ____.
A
Use the diagram to the right for 7 – 11.

D
_____7. FA and FB are opposite rays.
_____8. F is the midpoint of DC .
_____9. DC is a segment bisector.
_____10. F is the midpoint of AB .

F
C

B
_____11. BA and AB name the same set of points.
VI. Use the number line to the right for 1 – 3.
1. TA = _________; RK = _________
2. TR  ______
3. A is the midpoint of _______.
|
T
-4
|
R
| |
-1
|
A
C K
1 2
3
VII. Draw a diagram to answer the following:
_________1. V is the midpoint of TM , VM = 8, TV = __.
_________2. M is the midpoint of XY , XM = 8 – x , MY = 5x – 10. Find XY.
_________3. The coordinate of T is -9, the coordinate of P is 4. Find the coordinate of the midpoint of TP .
_________4. M is the midpoint of AB . The coordinate of A is 5, and M is -1. Find the coordinate of B.
VIII. Answer the following:
_________1. A(-4,0) and B(-2,4). Find the coordinates of the midpoint of AB .
_________2. Find AB in #1.
_________3. The midpoint of RS is U. If U(-3, 5) and S(2, 13) Find the coordinates of R.
_________4. Find the points of intersection for: a) y = 2x and 3x + y = 10
b) 4x + 2y = -10 and 3x + y = -6
________
IX. True or False
_______1.
_______3.
_______4.
_______5.
_______6.
Three points determine a plane. _______2. If a point P of PQ lies in plane X, then so does point Q.
If 2 lines intersect, then they intersect in exactly one point.
Two intersecting lines are always contained in exactly one plane.
Three non-collinear points can lie in each of 2 different planes.
Horizontal planes will never intersect.
Answer the following:
1. In order to determine a line, what is required?
2. In order to determine a plane, what is required? (There are three possible answers.)
3. Why does a three-legged support (tripod) work better than on with 4 legs?
4. If 3 non-collinear points determine a plane, how many points determine space?
5. How many planes may contain three collinear points?
II. True or False?
1. _____________A given triangle can lie in more than one plane.
2.______________Any two points are collinear.
3.______________Two planes can intersect in only one point.
4.______________Two lines can intersect in two points.
II. Use the diagram below to answer the following questions.
1. How many lines contain both of the points A and E? Why?
2. List 3 points that determine Plane K.
3. Could both of points A and C be contained in the intersection of
AC and AB
? Explain.
4. Why do points B, C, and E determine a plane?
5. Is
FC
6. Why do
contained in Plane K ? Why/ why not?
AD
and
CD
have only one point in common?
7. Consider the planes determined by A, E, and B and D, C, and E. Do they have more than one point
in common? Why/why not?
8. Why do
DE
and point F determine a plane?
9. How many planes contain
AC and CE ?
Why?
10. Name 2 lines contained in the plane determined by A, E, and B.