3.3 prove lines are parallel
DESCRIPTION
parallel lines, angle pair, geometry, angle congruence theorems, chapter 3, perpendicular lines,TRANSCRIPT
MR. SAUCEDOGEOMETRY
MILBY HIGH SCHOOL
3.3 Prove that lines are parallel
REVIEW
FOLDABLE ACTIVITY
You will neeed: Foldable sheet Color pencils
CORRESPONDING ANGLES
FACTS:•They are congruent•They slide down and up in the same position.
ALTERNATE INTERIOR ANGLES
FACTS They are congruent
ALTERNATE EXTERIOR ANGLES
FACTS
They are congruent.
CONSECUTIVE INTERIOR ANGLES
FACTS: THEY ADD UP TO 180 DEGREES.
OTHER REMINDERS
Parallel
Perpendicular
Supplementary
Complementary
CHECKPOINT
Angle 2 and 4 are congruent.
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CHECKPOINT
Angles P and Q are corresponding angles.
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Angles R and K are Alternate interior
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CHECKPOINT
If angle R is 70 degrees, then angle Q is 110 degrees.
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BIG QUESTION
If <4≈<3, can we say that lines e and f are parallel?
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QUESTION
If m<H=110, what does angle M need to be so that line Q ll R?
If m<K=30, what
does angle O need
to be so that line Q ll R?
CHECKPOINT
If m<O=100, what does m<J have to be in order that Q ll R.
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GUIDED PROBLEM
Are lines AB and CD parallel?
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QUESTION
If m<3 ≈ m<5, are lines DK and GH parallel?
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GUIDED PROBLEM
What does x have to be so that lines l and m be parallel?
CHECKPOINT
What does x have to be so that lines AB and CD be parallel?
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MORE PRACTICE
WORK PROBLEMS:
Page 159: problems 27, 29, 31 & 38.
Page 165: problems 4, 6, 8, 10, 14.