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OpenStudy (itrymath):
The following is an incomplete two-column proof that rectangle ABCD is a parallelogram with congruent diagonals:
Statements Reasons
m∠ DAB = 90°
m∠ ABC = 90°
m∠ BCD = 90°
m∠ CDA = 90° Definition of a Rectangle
Converse of the Same-Side Interior Angles Theorem
Quadrilateral ABCD is a parallelogram Definition of a Parallelogram
Draw and by Construction with a straightedge
∠ BAD ≅ ∠ CDA Definition of Congruence
Reflexive Property of Equality
ΔBAD ≅ ΔCDA Side-Angle-Side (SAS) Theorem
Corresponding Parts of Congruent Triangles are Congruent (CPCTC)
What statement and reason completes the proof? (4 points)
; Property of Parallelograms (opposite sides are congruent)
BA congruent CD ; Corresponding Parts of Congruent Triangles are Congruent (CPCTC)
; Property of Parallelograms (opposite sides are parallel)
; Converse of the Alternate Interior Angles Theorem
OpenStudy (itrymath):
OpenStudy (brandonsinger):
Its B
OpenStudy (itrymath):
how
OpenStudy (brandonsinger):
I think its B
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OpenStudy (itrymath):
@3mar @Seratul
OpenStudy (3mar):
Hello!
OpenStudy (itrymath):
hello
OpenStudy (itrymath):
i need help with this problem
OpenStudy (itrymath):
i think the answer is B
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OpenStudy (3mar):
where the prob?
OpenStudy (itrymath):
OpenStudy (itrymath):
OpenStudy (itrymath):
@3mar
OpenStudy (3mar):
Well I am seeing it and try to get it.
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OpenStudy (3mar):
Where is the point,, where is the question?
OpenStudy (itrymath):
OpenStudy (itrymath):
fill in the missing blanks
OpenStudy (3mar):
what you picked?
OpenStudy (itrymath):
B
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OpenStudy (3mar):
where are a,b,c,d?
OpenStudy (itrymath):
OpenStudy (3mar):
ok
let me see
OpenStudy (itrymath):
is it correct
because if not then i think C
OpenStudy (3mar):
It would be A
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OpenStudy (itrymath):
Waaaa?
OpenStudy (itrymath):
OOOOOOOOOOOOOOoo
OpenStudy (itrymath):
okay i get it!!!!
OpenStudy (3mar):
It si not B as we did not yet prove that these two triangles are congruent!
and
It is not C because we need to have two congruent sides not parallel.
GOT iT ???
OpenStudy (3mar):
I hope I helped you.
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OpenStudy (3mar):
I want you to be sure and ask if you are stuck to something! ok?
OpenStudy (itrymath):
nope i get it thanks!!!
OpenStudy (3mar):
@ItryMath
Satisfied?
OpenStudy (itrymath):
yes
OpenStudy (3mar):
I am happy to hear that.
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