parallel lines and transversals . angles and parallel lines
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Parallel Lines and Transversals . Angles and parallel lines. Video. Lesson Objective. Explore relationships of the angles formed by a transversal cutting parallel lines. Vocabulary - PowerPoint PPT PresentationTRANSCRIPT
Parallel Lines and Transversals.Angles and parallel lines.
Lesson Objective
Explore relationships of the angles formed by a transversal cutting parallel lines.
VocabularyParallel lines, parallel planes, transversal, consecutive interior angels, alternative exterior angels, alternative interior angels, corresponding
angels.
Video
Parallel Lines: Coplanar lines that do not intersect.
s
cdl
wx
l
x
Name all segments that are parallel to
Answer:
A B
C
E
F G
H
D
Use the figure to name each of the following.
Answer: plane XYZ
Answer:
Answer:
Answer:
Transversal: A line that intersects two or more lines in a plane at different points.
Transversal crossing two lines
This transversal crosses two parallel lines
This transversal cut across three lines
Transversal and angles
mtransversalk
214 3
765
8
NAME ANGLES
Exterior angles
Interior anglesConsecutive interior angles
Alternate exterior anglesAlternate interior anglesCorresponding angles
13
2 7 8
4 6 5
6 3 4 5 1 2 7 8
3 5 4 6
1 5 2 6 3 7 4 8
m k
Corresponding Angles Postulate
If two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent.
m
k
21
43
765
8
m k
1
3
2
4
6
5
7
8 @ @ @ @
When two parallel lines are cut by a transversal, then….
….each pair of alternative interior angles is congruent.
21
43
765
8
3 6 @ 4 5 @….each pair of alternative exterior angles is congruent. 1 2 7 8 @ @….each pair of consecutive interior angles issupplementary.m4+ m6=180
m3+ m5=180
geogebra
Answer:
Corresponding Angles PostulateVertical Angles Theorem
Transitive PropertyDefinition of congruent angles
Substitution
In the figure and
Find
Answer:
In the figure and Find
Grid-In Test ItemWhat is the measure of RTV?
Read the Test Item
Be sure to identify it correctly on the figure.
Use an auxiliary line.
Solve the Test Item
Alternate Interior Angles Theorem
Definition of congruent angles
Substitution
Angle Addition Postulate
Write each digit of 125 in a column of the grid. Then shade in the corresponding bubble in each column.
Definition of congruent angles Substitution
Alternate Interior AnglesTheorem
Answer:
Grid-In Test ItemWhat is the measure of IGE? Answer:
J
K
If and
find x and y.
Find x.
by the Corresponding Angles Postulate.
ALGEBRA
Definition of congruent angles
Substitution
Subtract x from each side and add 10 to each side.
Definition of congruent anglesSubstitution
Find y.
by the Alternate Exterior Angles Theorem.
Simplify.
Add 100 to each side.
Divide each side by 4.
Answer:
Answer:
ALGEBRA If andfind x and y.