3.2 use parallel lines and transversals
DESCRIPTION
parallel, transversal, geometry, theorem, exterior angles, interior, corresponding, alternateTRANSCRIPT
3.2 Use Parallel lines and 3.2 Use Parallel lines and TransversalsTransversals
Mr. SaucedoGeometryMilby High School
OBJECTIVE:OBJECTIVE:
We will pair angle theorems to find measurements of angles.
ACTIVITYACTIVITYMaterials:
◦Activity worksheet◦Protractor
Step 1: Measure all the angles created by the transverals in the pictures.
Step 2: Look for patterns.
Step 3: Explain your patterns.
POSTULATE 15:POSTULATE 15:CORRESPONDING ANGLESCORRESPONDING ANGLESIf two parallel lines are cut
by a transversal, then the pairs of corresponding angles are congruent.
THEOREM 3.1:THEOREM 3.1:Alternate Interior Angles Alternate Interior Angles TheoremTheoremIf two parallel lines are cut by a
transversal, then the pairs of alternate interior angles are congruent.
<1 ≈ <2
m<1 = m<2
THEOREM 3.2: THEOREM 3.2: Alternate Exterior Angles Alternate Exterior Angles TheoremTheoremIf two parallel lines are cut by a
transversal, then the pairs of alternate exterior angles are congruent.
<1 ≈ <8
m<1 = m<2
THEOREM 3.3:THEOREM 3.3:Consecutive Interior Angles Consecutive Interior Angles TheoremTheoremIf two parallel lines are cut by a
transversal, then the pairs of consecutive interior angles are supplementary.
m<3 + m<5 = 180
or
m<4 + m<6 = 180
CHECKPOINTCHECKPOINTTRUE OR FALSE?
1.Angles A and H are congruent.2.Angles C and E add up to 180 degrees.3.Angles D and F add up to 180 degrees.4.Angles B and G are congruent.5.Angles A and G add up to 180 degrees.6.Angles D and E add up to 180 degrees.7.Angles D and F are supplementary.
CHECKPOINTCHECKPOINTTrue or False?
1.Angles 4 and 6 are congruent.2.Angles 2 and 5 are congruent.3.Angles 7 and 1 add up to 180
degrees.4.Angles 3 and 8 are congruent.5.Angles 8 and 2 add up to 180
degrees.
GUIDED GUIDED PROBLEMPROBLEM
If m<1 = 30, find theMeasurement of all theOther angles.
1 = 5= 2= 6=3= 7=4= 8=
GUIDED PROBLEMGUIDED PROBLEM
m<f = 115 andm<c = x + 5,Find x.
CHECKPOINTCHECKPOINT
m<d = 135 andm<f = x – 30.
Find x.
INDEPENDENT PRACTICEINDEPENDENT PRACTICE
BIG BOOK: PAGE 157PROBLEMS: 1, 4, 5, 6, 7, 8, 10, 12, 14, 18, 22,
33.
PRE-AP: ADD PROBLEM 28.
HOMEWORK:HOMEWORK:
SECTION 3.2WORKBOOK, PAGE 46 & 47
PROBLEMS: 1-20 all problems.