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Transcript 
UNIT 1 REVIEW
Geometry: Tools of Geometry and Reasoning
and Proof
QUESTION 1
Where do DCB and HIF intersect?
QUESTION 1 ANSWER
𝐴𝐡
QUESTION 2
If DM = 37 find the value of x.
QUESTION 2 ANSWER
X = 17
QUESTION 3
Find the measure of βˆ π‘ƒπ‘„π‘…
QUESTION 3 ANSWER
mβˆ π‘ƒπ‘„π‘…=141
QUESTION 4
What is the length of a
segment with endpoints
(-3, 5) and (4, 4)?
QUESTION 4 ANSWER
5 2
QUESTION 5
What is the midpoint of
the segment with
endpoints (-2, 7) and
(5, 2)?
QUESTION 5 ANSWER
3 9
,
2 2
QUESTION 6
What is the other
endpoint of a segment
with an endpoint at (4,4)
and a midpoint at (-2, -1)?
QUESTION 6 ANSWER
(-8, -6)
QUESTION 7
Find the value of x and y:
QUESTION 7 ANSWER
X = 50
Y=20
QUESTION 8
Name the property that justifies each of the
following:
β€’ If JK = 20 and AB + JK = XY, then AB + 20 =
XY.
β€’ If 𝐺𝐹 β‰… 𝐻𝐼, then HI β‰… GF
QUESTION 8 ANSWER
Substitution Property
Symmetric Property
QUESTION 9
Name a pair of angles that form a
linear pair:
QUESTION 9 ANSWER
βˆ π‘‚π‘†π‘ π‘Žπ‘›π‘‘ βˆ π‘‚π‘†π‘„
βˆ π‘π‘†π‘ƒ π‘Žπ‘›π‘‘ βˆ π‘ƒπ‘†π‘„
βˆ π‘‚π‘†π‘ƒ π‘Žπ‘›π‘‘ βˆ π‘ƒπ‘†π‘…
βˆ π‘‚π‘†π‘„ π‘Žπ‘›π‘‘ βˆ π‘…π‘†π‘„
QUESTION 10
π‘₯𝑦 𝑏𝑖𝑠𝑒𝑐𝑑𝑠 βˆ π‘Šπ‘‹π‘, 𝑓𝑖𝑛𝑑 π‘šβˆ π‘Œπ‘‹π‘
QUESTION 10 ANSWER
π‘šβˆ π‘Œπ‘‹π‘ = 28
QUESTION 11
Find the π‘šβˆ π½πΎπΉ
QUESTION 11 ANSWER
π‘šβˆ π½πΎπΉ =138
QUESTION 12
Find the value of x, if m∠𝐹𝐻𝐼 = 142
QUESTION 12 ANSWER
X = 12
QUESTION 13
What are two other names for ∠1?
QUESTION 13 ANSWER
βˆ π‘€πΎπΏ π‘Žπ‘›π‘‘ βˆ πΏπΎπ‘€
QUESTION 14
If G, H, and I are collinear
and H is between G and I,
GH = 7y + 3, HI = 3y βˆ’ 5,
and GI = 9y + 7. Find the
length of HI.
QUESTION 14 ANSWER
HI = 22
QUESTION 15
Find the length of KM if
2
KL = π‘₯ + 6π‘₯ βˆ’ 8 and
LM= 3x + 2.
QUESTION 15 ANSWER
KM = 8
QUESTION 16
Find the midpoint and
distance between the
coordinates -4 and 9.
QUESTION 16 ANSWER
5
2
Midpoint:
Distance: 13
QUESTION 17
Using the
diagram name a:
β€’ Plane
β€’ Ray
β€’ Segment
β€’ Line
QUESTION 17 ANSWER
Possible answers:
Plane: ZRQ
Ray: 𝑋𝑄
Segment: 𝑅𝑄
Line: 𝑋𝑅
QUESTION 18
Name three Collinear Points
QUESTION 18 ANSWER
R, X, Q
QUESTION 19
Name three coplanar points
QUESTION 19 ANSWER
Possible answers:
A, D, C
F, C, B
E, H, G
QUESTION 20
Name the two planes that intersect at
line DC:
QUESTION 20 ANSWER
ABC and HGC
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