Mind Activator 1. Given RS = UT and RT = US. Prove R = U.~
Transcript of Mind Activator 1. Given RS = UT and RT = US. Prove R = U.~
Parallelogram Prop Proofs October 04, 2017
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S
U
T
R
~ ~1. Given RS = UT and RT = US. Prove R = U.
2. Name 2 congruent and 2 supplementary angles to angle 1 in the image.
Mind Activator
Parallelogram Prop Proofs October 04, 2017
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A quadrilateral with two pairs of parallel sides.Parallelogram Official Definition
opp. sides are || 1.
Parallelogram Prop Proofs October 04, 2017
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Hint: Before you start make a list of what you already know.
K L
MJ1 3
24Given: JKLM is a parallelogram
Prove: JK=LM, KL=MJ~~
Parallelogram Prop Proofs October 04, 2017
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x+5
3x 7
The following is a parallelogram, what is the value of x?Application
2.
Parallelogram Prop Proofs October 04, 2017
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Parallelogram Prop Proofs October 04, 2017
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Theorem: If a quadrilateral is a parallelogram then its opposite angles are congruent
A = C and B = DConclusion
ABCD is a parallelogram find the value of x and y.Apply this theorem
x+26
2x 8x+86
3y + 21A
D C
B
opp. 's =~3.
Parallelogram Prop Proofs October 04, 2017
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Prove consecutive angles are supplementary
A and B are supplementary.
C and D are supplementary. B and C are supplementary.
D and A are supplementary.
Given that ABCD is a parallelogram.Prove:
Parallelogram Prop Proofs October 04, 2017
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Theorem: If a quadrilateral is a
parallelogram then its consecutive angles are supplementary
Application
x+78x+18A
D C
BABCD is a parallelogram, what is the measure of angle B?
consecutive 's supp.4.
Unit
Parallelogram Prop Proofs October 04, 2017
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What have we learned so far?