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Transcript
Geometry/Trig 2 – Unit 1 Review – Station 1
Use the diagram to name each. Make sure you use correct notation.
R
N
1
M
Q
L
P
S
Given: Q is the midpoint of MS; RQN @ NQP
1. Name three collinear points.
9. Name a pair of supplementary s that are not @.
2. Name three non-collinear points.
10. Name the vertex of 1.
3. Name two congruent segments.
11. Name the ray opposite to QN.
4. Name an angle bisector.
12. Name a pair of vertical angles.
5. Name a right angle.
13. Name a segment bisector.
6. Name a pair of adjacent angles.
14. Name three angles whose measures
sum to 180.
7. Name a pair of @, supplementary s.
15. Name a line that contains point R.
8. Name a pair of complementary angles.
16. Name a segment that contains point N.
Geometry/Trig 2 – Unit 1 Review – Station 2
F
I.
G
A
E
D
B
C
Name each of the following using the
diagram above. Make sure you use
correct notation.
Set up equations to find each
variable and value. Show all work.
II.
A
3. AB  plane BCE.
4. Three collinear points.
5. Four non-coplanar points.
6. Three points that are coplanar, but are not
collinear.
7. The plane that contains AD and point G.
8. Plane ABCD  plane AFEB.
C
Given: B is the midpoint of AC, AB = 5x + 19
and BC = 10x - 16
1. Planes BEC  plane ABCD
2. A plane that contains DE.
B
x = ______
AB = ______
BC = _____
AC = ______
III.
D
F
G
Given: DF = 7x + 5, FG = 12x + 8, and
DG = 30x + 2
x = ______
DF = ______
FG = _____
DG = ______
Geometry/Trig 2 – Unit 1 Review – Station 3
Set up equations to find each variable and value. Show all work. Figures are not
necessarily drawn to scale.
I.
A
x = ______
mABD = ______
mDBC = _____
mABC = ______
II.
x = ______
mEFG = ______
mGFH = _____
mEFH = ______
G
D
B
E
Given: mABD = 8x + 25
and mDBC = 7x + 5
C
L
III.
I
K
F
IV.
M
Given: mEFG = 4x,
mGFH = 8x, and
mEFH = 14x - 22
N
H
P
R
Q
Given: mNPR = 4x + 32
and mRPQ = 5x + 40
J
Given: mLKM = 6x + 1
and mJKI = 7x - 11
x = ______
mIKL = ______
mLKM = _____
mMKJ = ______
x = ______
mNPR = ______
mJKI = _____
mIKM = ______
mRPQ = _____
mNPQ = ______
Geometry/Trig 2 – Unit 1 Review – Station 4
True or False
If False, make the statement true!
1.) Through any two points you can draw an infinite amount of lines.
2.) There is a finite amount of points on a line.
3.) There is a finite amount of points on a segment.
4.) Points that lie on the same plane are called collinear.
5.) If two planes intersect, then their intersection is a point.
6.) If two lines intersect, then their intersection is a plane.
7.) You can name a line with two or three letters.
8). If a plane and a line intersect, then their intersection is a point.
___ 1. JK
___ 2. JK
Matching
A. Segment JK
B. Line JK
___ 3. JK
C. Point J
___ 4. JK
D. Ray JK
___ 5. J
E. The length of segment JK
Geometry/Trig 2 – Unit 1 Review – Station 5
Find the distance and midpoint given each pair of points. (Leave all distances as
simplified square roots).
1) (3, -8) and (-5, 2)
2) (-3, 4) and (7, 8)
Given AB with midpoint M, determine the coordinate of the indicated point.
1) A (4, -2)
M (4, 4)
B (x2, y2)
A
2) A (x1, y1)
M (5, 1)
M
B
B (1, -3)
HINT: It may help to plot
the points on a piece of graph
paper to visualize.