Write down this problem on your
READY RECALL SHEET
Be prepared to explain your answer
if you are called on.
Taylor thinks these two triangles are similar. Is he right?
Explain your answer.
AA Similarity Theorem
Vertical Angles are ≅
find x:
Page xx
of your INB
states that if 2 angles
are ≅ the triangles
are similar.
Taylor is right!
ITEMS of BUSINESS
Test Retakes Today and Wednesday
To Earn: Rework Complete
Unit 7 Practice Test Complete
Make an Appointment
Have your homework
out on your desk.
Try this CHALLENGE question:
57°
x = 33°
122°
92°
25°
33°
33°
LINE AND ANGLE RELATIONSHIPS
10.3 Parallel Lines and a Transversal
Get into your Groups
find x:
FOLD and glue
in your INB
Page xx
of your INB
CUT OUT Your ANGLE CARDS
CHAPTER 10 VOCAB ORGANIZER
?
PARALLEL LINES & A TRANSVERSAL
Transversal A line that intersects two or
If n is parallel to m
n
more lines.
Alternate
Exterior
Same-Side
Corresponding
Angles
Exterior
Angles
Angles
Exterior
Alternate
Interior
Corresponding
Same-Side
Angles
Interior
Angles
Angles
Alternate
Exterior
Corresponding
Same-Side
Angles
Angles
Exterior
Angles
Alternate
Corresponding
Interior
Same-Side
Angles
Angles
Interior
Angles
HOT LAVA
Interior
m
Same-Side
Alternate
Interior
Corresponding
Interior
Angles
Angles
Angles
Same-Side
Alternate
Corresponding
Exterior
Exterior
Angles
Angles
Angles
Alternate
Interior
Corresponding
Same-Side
Angles
Angles
Interior
Angles
Corresponding
Same-Side
Alternate
Exterior
Angles
Exterior
Angles
Angles
Think of the space between the two
parallel lines as a river of Hot Lava and
the Transversal as a bridge to cross
safely to the other side.
Exterior
Corresponding
Angles
are
the
same
Same-Side
areare
between
the
parallel
lines
Alternate
Exterior
Angles
areinoutside
the lines
Alternate
Interior
Angles
are
between
the
parallel
Same-Side
Exterior
Angles
outside
the
Parallel
There
are
8
angles
made
with
this
Transversal.
We
have
Angle
Pairs
with
specific
names.
spot
when
you
up/down
the
Transversal.
Parallel
lines
and
onslide
Opposite
Sides
of
the
Transversal
and
on
Opposite
Sides
of
the
Transversal
andand
on
thethe
SAME
SIDE
of
the
Transversal
lines
on
SAME
SIDE
of
the
Transversal
?
PARALLEL LINES & A TRANSVERSAL
IF . . . p is parallel to s
And a
transversal crosses p & s
120
p
?
?
?
is inside the lines
s
?
?
?
?
?
PARALLEL LINES & A TRANSVERSAL
IF . . . p is parallel to s
And a
transversal crosses p & s
120
p
60?
?60
?
120
is inside the lines
s
?
?
?
?
?
PARALLEL LINES & A TRANSVERSAL
Vertical & Congruent
or
Linear Pair & Supplementary
INB NOTEBOOK ACTIVITY
Color all the congruent angles the same color.
You will need 2 colors.
Congruent/Supplementary
Which are Congruent ≅ and which are Supplementary (+180)
Corresponding
Angles ≅
Alternate Interior
Angles ≅
Alternate Exterior
Angles ≅
Same-Side
Alternate
Exterior
Corresponding
Exterior
Angles
Angles
Angles
Same-Side
Interior Angles
Same-Side
Corresponding
Alternate
Interior
Interior
Angles
Angles
Angles
Same-Side
Exterior Angles
Alternate Exterior
Angles
add
Same-Side
to
Interior Angles 180
add
Same-Side
to
Exterior Angles 180
Alternate Interior
Angles
CHAPTER 10 VOCAB ORGANIZER
Let’s Review what we found.
A line that intersects
two or more lines.
Same Position
≅
-Between the parallel lines
-Opposite sides
≅
-Outside the parallel lines
-Opposite sides
≅
-Between the parallel lines
-Same side
Supplementary (+180)
-Outside the parallel lines
-Same side
Supplementary (+180)
INB NOTEBOOK ACTIVITY
<1 & < 5; <3 & < 7
<2 & < 6; <4 & < 8
Angles are ≅
ANGLE PAIR CARDS
FILL IN THE INFORMATION
Angles are ≅
Angles are ≅
Angles are ≅
Angles sum
is 180 °
(Supplementary)
a=b
a=b
a=b
Angles sum
is 180 °
(Supplementary)
a + b = 180 a + b = 180
LETS TRY SOME PROBLEMS
2 ANSWERS EACH. Identify each pair of angles as corresponding,
alternate interior, alternate exterior, same-side interior.
ADD TELL IF THEY ARE CONGRUENT OR SUPPLEMENTARY.
LETS TRY SOME PROBLEMS
3 ANSWERS EACH.
Name the angle relationship, indicate if they are congruent or supplementary
AND then find the measure of each angle indicated.
Parallel Lines and a Transversal
Day 1 – Integer10.3
operations,
PEMDAS, evaluating
find x:
Number 21 on your Homework
EQUATION CARDS
SET UP THE EQUATION AND SOLVE FOR X
5(22) + 25
= 135
Complementary ≅
3(25) + 10
= 85
Alt. Interior ≅
10(10) + 20
= 120
Alt. 𝐸𝑥𝑡𝑒𝑟𝑖𝑜𝑟 ≅
5(14) + 25
= 95
3(45) + 10
= 145
𝑆𝑎𝑚𝑒 𝑆𝑖𝑑𝑒 𝐼𝑛𝑡. 180 𝑆𝑎𝑚𝑒 𝑆𝑖𝑑𝑒 𝐸𝑥𝑡. 180
12(10) = 120
5x + 25 = 135 3x + 10 = 85
5x + 25 = 135 3x + 10 = 85
-10 -10
-25 -25
3x = 75
5x = 110
5x = 110
5
5
x = 22
3x = 75
3
3
x = 25
10x + 20 = 12x
10x + 20 = 12x
-10x
-10x
20 = 2x
20 = 2x
2
2
10 = x
85 + 5x + 25 = 180
110 + 5x = 180
-110
-110
5x = 70
5x = 70
5
5
x = 14
35 + 3x + 10 = 180
45 + 3x = 180
-45
-45
3x = 135
3x = 135
3
3
x = 45
Worksheet
10.3
Parallel Lines
and a
Transversal
