if two intersecting lines form congruent adjacent angles, what can you conclude about the lines?...
TRANSCRIPT
If two intersecting lines form congruent adjacent angles, what can you conclude
about the lines?
i-can find x:Page x
of your INB
Write down this problem on your
READY RECALL SHEETBe prepared to explain your answer
if you are called on.
x
62139
ITEMS of BUSINESS
Test Rework due TODAY
Test Retakes until Tues/Wed (Feb 10/11)To Earn: Rework Complete
Unit 7 Practice Test CompleteMake an Appointment
Have your homework out on your desk.
RE- Try this CHALLENGE question:
If 1 and 2 are complementary and 1 is 4 times the measure of 2, what is the m1 ? Hint:Assign 1 = x and 2 = y (Show your Work)
x + y = 90 and x = 4y 4y + y = 90 5y = 90 Y = 18
x = 4(18)x = 721 = 72
LINE AND ANGLE RELATIONSHIPS
10.2 Interior and Exterior Angles
Page xx of your INB
i-can find x:
Get into your Groups
x
62139
Triangle Sum Theorem
Exterior Angle Theorem
CUT OUT Your TRIANGLE CARDS
?
What is the above angle measure?Lets keep this in mind
TRIANGLE SUM ACTIVITY
inb
Page xx of your INB
i-can find x:
Get into your Groups
x
62139
Triangle Sum Theorem
Exterior Angle Theorem
TRIANGLE CARDS
FILL IN THE INFORMATION
The sum of the angles in a triangle
is 180.
a + b + c = 180
TRIANGLE UNKNOWNS
45
?
X X
X
find x
180-90-453x = 1
3x = 180 3 3
x = 60
4545
606060
EQUATION CARDSSET UP THE EQUATION AND SOLVE FOR
X
2x + 3x + 4x = 180
9x = 180
9x = 180 9 9
x = 20
?
Triangle Angle Names
Exterior Angle
RemoteInterior Angles
FYI Another Name for Remote Interior Angles are: Non-adjacent Angles
EXTERIOR ANGLE
THEOREM ACTIVITY inb
Page xx of your INB
i-can find x:
Get into your Groups
x
62139
Triangle Sum Theorem
Exterior Angle Theorem
TRIANGLE CARDS
FILL IN THE INFORMATION
The sum of the Remote Interior
Angles equal the
measure of theExterior Angle.
a + b = d
TRIANGLE UNKNOWNS
45
?1
57 °
?
45 + 90 = ?
135135
?
? + 57 = 120
? + 57 = 120 - 57 -57 ? = 63
63
63
EQUATION CARDSSET UP THE EQUATION AND SOLVE FOR
X
2x + 3x = 105
5x = 105
5x = 105 5 5
x = 21
Day 1 – Integer operations, PEMDAS, evaluating10.2 Interior and Exterior Angles
i-can find x:
Number 13 on your Homework
x
62139
x + 62 = 139
x + 62 = 139 - 62 - 62 x = 7777
CHAPTER 10 VOCAB ORGANIZER
Now fill out the next 2 blank lines.
The sum of the angles in a triangle
is 180.
a + b + c = 180
The sum of the Remote Interior Angles equal the
measure of the Exterior Angle.a + b = d
?
From our last Chapter…When figures get bigger,do the angles get bigger?
SIMILARITY THEOREM
A A’
Sides get bigger . . .
If you had 2 triangles with the same angle measures, would the triangles be similar?
3030
2525
125 125
but ANGLES DON’T!
?SIMILARITY THEOREM
2525
125 125
SAME ANGLES SAME SHAPE!
IF 2 angles are congruent ‘s are SIMILAR
What’s the MINIMUM number of anglesyou need to know to determine
if 2 triangles are similar???
Are These Triangles Similar?
𝑌𝐸𝑆 :∆ 𝐴𝐵𝐶 ∆𝐷𝐸𝐹
CHAPTER 10 VOCAB ORGANIZER
Now fill in the next blank line.
∆ 𝐴𝐵𝐶 ∆𝐷𝐸𝐹If 2 angles are
‘s are SIMILAR
Worksheet10.2
Interior and Exterior Angles
in a Triangle