Download 1 Intersecting Lines Notes and Guided Practice

 Geometry
Intersecting Lines Notes and Guided Practice #1 Name: ______________________________ Period: _____ Date: __________ Adjacent Angles Linear Pair B 2 1 A C D Perpendicular Lines l C 6
Vertical Angles A 5
D 1
4 3 2
m B TRUE/FALSE a) Are !! and !! a linear pair? b) Are ∠2 and ∠3 a linear pair? 1 2
c) Are ∠3 and ∠4 a linear pair? 4 3
d) Are !! and !! a linear pair? e) Are ∠1 and ∠3 vertical angles? f) Are ∠1 and ∠4 vertical angles? g) Are ∠2 and ∠3 vertical angles? h) Are ∠2 and ∠4 vertical angles? i) Are !! and !! adjacent angle? j) Are !! and ∠3 adjacent angle? k) Are ∠2 and ∠4 adjacent angle? l) Are !! and !! adjacent angle? Use your protractor to find the measure of each angle in the triangle shown below Z
X
m!XYZ = _______ m!YZX = _______ m!ZXY = _______ Y
LESSON
1.6
Practice: NAME
DATE
Practice C
Find the values of the variables. For use with pages 44–50
1. 2. Decide
if
the
statement
is
always,
sometimes,
or
never
true.
1. If two angles are complementary then they are adjacent.
2. If two angles are linear pairs then they are adjacent.
3. If two angles are vertical angles then they are adjacent.
LESSON
4. If two angles are supplementary then one angle is acute and one angle is obtuse.
NAME
Lesson 1.6
3. 1.6
Practice C
right.
Given
one angle
measure,
4. Use the figure
at the
find the other
For
use
with
pages
44–50
three.
5. If m!6 ! 38#
Decide
the
is always, sometimes, or never true.6
L
O N statement
! 84#
6.E S
IfifSm!8
1.6
1. If
7.
2. If
8.
3. If
DATE
NAME
two
angles
are
complementary then they are adjacent.
! 136#
If m!9
two
angles
are linear pairs then they are adjacent.
! 27#
If m!7
9
8
7
DATE
Practice C
two angles are
then they are adjacent.
Forvertical
use with angles
pages 44–50
In Exercises 9–12, assume !A and !B are complementary and !B
4. If two angles are supplementary then one angle is acute and one angle is obtuse.
and !C are supplementary.
Decide
the
statement
is always,
true.
m!
%!
52#, then m!B
! ? sometimes,
.
9. If if
and m!C ! or? never
Use1.the
figure
at the
right. Given one
angleare
measure,
find the other
angles
arethen
complementary
adjacent.
m!C !
? .
m!B
! 67#,
m!A ! ? then
10. IfIftwo
andthey
three.
2. IfIftwo
angles
are linear
pairs !
then ?theyand
arem!A
adjacent.
! ? .
m!C
! 107#,
11.
then m!B
5. If m!6 ! 38#
If
two
angles
are
vertical
angles
then
they
are
adjacent.
3.
12. If m!B ! 12#, then m!% ! ? and m!C ! ? .
6
6. If m!8 ! 84#
7angle is obtuse.
4. If two angles are supplementary then one angle is acute and9 one
8
! 136# of the variable(s).
7. If m!9
Find
the value(s)
Lesson 1.6
Lesson 1.6
8.13.
If m!7 ! 27#
14.
15.
145#
(6y $ 8)#
Use the figure110#
at the right. Given one anglex#measure,
the other
(0.5xfind
$ 17.5)#
(x $ 42)#
52#
y#
Exercises
9–12, (6y
assume
" 2)# !A and !B are complementary and !B
(5y $ 10)#
Inthree.
(7y " 12)#
and5.!C
are supplementary.
o
m!6
! 38#
(2x
$ 40)#angles if the sum of their measures is 90 . Each angle is the complement of the other. Two angles are cIfomplementary 6
% !!52#,
9.6.IfIfm!
m!8
84# then m!B ! ? and m!C ! ? .
9
7
o
8 angle 18.
Two angles a16.
re s
upplementary a
ngles i
f t
he s
um o
f t
heir m
easures i
s E
ach is the supplement of the other. 180
.
17.
m!C
!
?
m!B
!
67#,
m!A
!
?
.
10.
If
then
and
7. If m!9 ! 136#
(11x $ 16)#
11.8.If Ifm!C
m!7!!107#,
27# then m!B !
?
and m!A !
(3y $ 13)#
(2xthen
" 5)#
m!% !
12. If m!B !75#12#,
(3x $ 17)#
? .
(2y $ 9)#
(8x $ 12)#
? and m!C ! ? .
In Exercises 9–12, assume !A and !B are complementary
and !B
(5y " 1)#
(4y $ 25)#
!Cvalue(s)
andthe
are supplementary.
Find
of the variable(s).
13.9. If m!% ! 52#, then m!B !
! 67#, then m!A !
10. If m!B 110#
(5y $ 10)#
(6y " 2)#
? 14.and m!C !
?
and
x#
m!C
145#
!y #
? .
15.
? (0.5x
. $ 17.5)#
! ? .
? and
!Am!A
In Exercises
19 and 20, assume that
is supplementary
to !B
(2x $ 40)#
m!B ! 12#, thentom!
%!
? and m!C
! m!B,
? . and m!C.
12. If
!C.
m!A,
Determine
and
complementary
75# 110#
(2x " 5)#
(6y " 2)#
(5y $ 10)#
(4y $ 25)#
86
Geometry
(2x $ 40)#
Chapter
1 Resource Book
16.
(3y $ 13)#
(8x $ 12)#
(0.5x $ 17.5)#
x#
y#
(5y " 1)#
(5x " 47)#
(6y $ 8)#
(x $ 42)#
52#
11. If m!C ! 107#, then m!B !
$ 1"#, m!C ! !5x $ 2"#
19. m!A ! !x $ 10"#, m!B ! !12x17.
16.
13. Find
the value(s) of the variable(s).
(11x $ 16)#
m!A
!
!
2.5x
$
17
"
#,
m!B
!
!
21x
"
25
"
#, m!C ! !8x " 11"#
20.
14. 13.
14.
145#
(3y " 20)#
(7y " 12)#
18.
(3x $ 17)#
15.(2y $ 9)#(6y $(3y
8)#" 20)#
52#" 47)#(x $ 42)#
(5x
(7y " 12)#
Copyright
© McDougal Littell Inc.
All rights reserved.
17.
(11x $ 16)#
18.
(3x $ 17)#
!##" !##"
15. In the diagram below WC ! BT , m∠EDW = 20°, and m∠HDC = 15°. Use this information to completely fill in the diagram below. W
I
E
B
D
T
H
C
16. Find the value of x, then determine if AB ! CD . C • 4x + 10° 2x + 20° A • • B 6x – 20° D • 17. Completely fill in the diagram: A
B
C
72°
E
D
112°
G
H
F
18. CD ! CB and m < ABC = 101 . Completely fill in the diagram.
°
C
A
B
D
E