Geometry Review Sheet Page 2
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1
213.
Fill in the reasons for the two-column proof using the list of possible reasons.
4-5/6
GIVEN:
∠1 and ∠2 are a linear pair, ∠1 ≅ ∠2
PROVE:
∠1 is a right angle
STATEMENTS
REASONS
List of possible reasons:
a. ____________________________________ a.
Adding (Simplify)
Addition Property
b. ___________________________________ b. Definition of a linear pair
Definition of Congruence
Definition of a Linear Pair
c. ___________________________________ c.
Definition of supplementary
Definition of Parallel
Definition of Perpendicular
d. ∠1 ≅ ∠2
d.
Definition of a Right Angle
Definition of Supplementary
e. ___________________________________ e. Definition of congruence
Division (Simplify)
Division Property
f. m∠1+ m∠1 = 180
o
f.
Given
Substitution
g. 2(m∠1) = 180
o
g.
Subtraction (Simplify)
Subtraction Property
h. ___________________________________ h. Division
Transitive
i. ∠1 is a right angle
i.
In 14 - 21, use the diagram to determine if the statement is true or false.
Write the full word “TRUE” or “FALSE” please J
s r uu
14.
TW
intersects plane Z at point Y.
1-4
u r uu
15.
YU
lies in plane Z.
1-4
16.
Points T, X, U, and W are coplanar.
1-4
17.
∠TYX and ∠UYW are vertical angles.
1-4
18.
Points X, Y and U are collinear.
1-4
19.
∠TYX and ∠WYX form a linear pair.
1-4
s r uu
20.
Plane TXY and plane YSX intersect at XU
.
1-4
21.
Plane SYU and plane VYU form the same plane.
1-4
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