Transcript Lesson 4-3 Transversals and Corresponding Angles Ohio Content Standards: Ohio Content Standards: Recognize and apply angle relationships in situations involving intersecting lines, perpendicular lines and parallel lines.

Lesson
4-3
Transversals
and
Corresponding
Angles
Ohio Content
Standards:
Ohio Content
Standards:
Recognize and apply
angle relationships in
situations involving
intersecting lines,
perpendicular lines and
parallel lines.
Ohio Content
Standards:
Recognize the angles
formed and the
relationship between the
angles when two lines
intersect and when
parallel lines are cut by a
transversal.
Ohio Content
Standards:
Use algebraic
representations, such as
tables, graphs,
expressions, functions
and inequalities, to model
and solve problem
situations.
Ohio Content
Standards:
Write, simplify and
evaluate algebraic
expressions (including
formulas) to generalize
situations and solve
problems.
Corresponding Angles
Corresponding Angles
t
1
m
2
4
3
5 6
7 8
l
Lines a and b are cut by transversal c.
Name two pairs of corresponding
angles.
c
1 2
3 4
5 6
7 8
a
b
Postulate 4-1
Corresponding Angles
Postulate 4-1
Corresponding Angles
If two parallel lines are
cut by a transversal,
then each pair of
corresponding angles
is congruent.
Refer to the figure below.
k
1
2
a
b
3
4
Refer to the figure below.
k
1
2
a
b
3
4
In thefigure, a b, and k is a transversal.
Whichangle is congruentto 1?
Explainyour answer.
Refer to the figure below.
k
1
2
a
b
3
4
Find themeasureof 1
if m4  60.
Theorem 4-4
Perpendicular Transversal
Theorem 4-4
Perpendicular Transversal
If a transversal is
perpendicular to one of
two parallel lines, it is
perpendicular to the
other.
In the figure, pllq, and transversal r is
perpendicular to q.
r
q
2
p
In the figure, pllq, and transversal r is
perpendicular to q.
r
q
2
p
If m2  3( x  2), find x.
Assignment:
Pgs. 159-161
14-28 evens,
34-38 evens