Lesson Lesson 4-34-3

Transversals Transversals and and

Corresponding Corresponding AnglesAngles

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 Anglest

l

m

7

6

8

5

4 3

21

Lines a and b are cut by transversal c. Name two pairs of corresponding

angles.

ba

c1

43

2 5 6

7 8

Postulate 4-1Corresponding Angles

Postulate 4-1Corresponding Angles

If two parallel lines are cut by a transversal,

then each pair of corresponding angles

is congruent.

Refer to the figure below.

b

a

k

1

4

3

2

Refer to the figure below.

b

a

k

1

4

3

2

answer.your Explain

1? tocongruent is angleWhich

al. transversa is and , figure, In the

kba

Refer to the figure below.

b

a

k

1

4

3

2

.604 if

1 of measure theFind

m

Theorem 4-4Perpendicular Transversal

Theorem 4-4Perpendicular 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.

2

r

p

q

In the figure, pllq, and transversal r is perpendicular to q.

2

r

p

q

. find ),2(32 If xxm

Assignment:

Pgs. 159-161 14-28 evens, 34-38 evens