Unit 1 Geometry Practice
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Transcript of Unit 1 Geometry Practice
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Unit 1 Geometry Practice
Points, Lines, Planes, Segments, Distance, Midpoint, etc.
Are YOU ready for the Test??
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Name the opposite rays using the correct notation.
AT and AZ
ZAT
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Vocabulary:
Points that lie on the same plane
coplanar
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Vocabulary:
An object consisting of two endpoints and all of the
points between them
line segment
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Name the plane shown in two different ways
Possible answers: plane K OR plane FGC
C
F
B
GK
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Name this ray correctly.
ZB
B
Z
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What is the approximate length of a segment with endpoints
(9, -2) and (10, -1)?
2210 9 1 2 1.40
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Fill in the blank.
Two lines intersect at a ___________.
point
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Vocabulary:
A flat surface that continues infinitely in all directions
plane
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What formula is this and what is it used for?
This is the Midpoint formula and is used to find the point that divides a line segment
into two congruent segments.
1 2 1 2x x y y,
2 2
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line
Fill in the blank.
Two planes intersect at a ___________.
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Vocabulary:
An exact location in space with an indefinite shape and
size
point
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Name the intersection of WT and TR.
Point T
A
B
R
T X
Y
W
C
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How many points does it take to make a line?
at least 2
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Where do AB and CR intersect?
They don’t intersect
A
B
R
T X
Y
W
C
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Vocabulary:
An object with no thickness that continues infinitely in
two directions
line
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Where do plane WCA and plane BXY intersect?
BA
A
B
R
T X
Y
W
C
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If Point R is between points V and W, and you are given that VR = 6x + 3, RW = 4x + 5, and VW = 28, what is the value of x and what is the length of VR?
6x + 3 + 4x + 5= 2810x + 8 = 28
10x = 20so… x = 2
If VR = 6x + 3 and x = 2 now,
6(2) + 3VR = 15
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Vocabulary:
An object with one endpoint that continues infinitely in
one direction
ray
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What formula is this and what is it used for?
This is the Distance formula and is used to find the length
of a line segment.
2 2
2 1 2 1x x y y
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Vocabulary:
Points that do not lie on the same line
non-collinear
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Where do plane J and plane K intersect?
EG
A
D
C
F
E B
G
J
K
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Which illustration below shows a correctly bisected segment?
B is correct
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Vocabulary:
Points that lie on the same line
collinear
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What is the midpoint of HI on the number line below?
-3.5
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
H I J K
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Name all lines that intersect at point A
CA, AC, AY, YA, BA, AB
A
B
R
T X
Y
W
C
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What is the midpoint of (3, -5) and (-7, 8)?
3 7 5 8 4 3, , 2,1.5
2 2 2 2
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Vocabulary:
Points that do not lie on the same plane
non-coplanar
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Find the length of AB.
AX + XB + BY = 375 + 2x + 3x + 2 = 37
x = 6 So….AB = 5 + 2x = 5 + 2(6) = 17
5 2x 3x + 2
A X B Y
37
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What is the measure of RS?
R
S
V
2 24 3 1 2 7.62
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Vocabulary:
A point, line, ray, line, line segment or plane that
intersects the segment at the midpoint.
bisector
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Name three planes that intersect at point R.
Sample answer: TRC, CRY, TRY
A
B
R
T X
Y
W
C
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What is the measurement of IK on the number line
below?
6
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
H I J K
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If Point M is the midpoint of JK, JM = 3x + 2 and MK = x – 6, then what is the value of x?
3x + 2 = x – 62x + 2 = -6
2x = -8so… x = -4