3.3 prove lines are parallel

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.

SMART Response QuestionTo set the properties right click and selectSMART Response Question Object->Properties...

CHECKPOINT

Angles P and Q are corresponding angles.


Angles R and K are Alternate interior


CHECKPOINT

If angle R is 70 degrees, then angle Q is 110 degrees.


BIG QUESTION

If <4≈<3, can we say that lines e and f are parallel?


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.


GUIDED PROBLEM

Are lines AB and CD parallel?


QUESTION

If m<3 ≈ m<5, are lines DK and GH parallel?


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?


MORE PRACTICE

WORK PROBLEMS:

Page 159: problems 27, 29, 31 & 38.

Page 165: problems 4, 6, 8, 10, 14.

3.3 prove lines are parallel

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