Geometry
15
Chapter 4 Resource Book
Copyright © McDougal Littell Inc. All rights reserved.
Practice A
For use with pages 194–201
4.1
LESSON
N
AME
_________________________________________________________D
ATE
___________
In the figure, and Complete the sentence.
1.
is the ______ of right triangle
2.
is a ______ of right triangle
3.
is the ______ of isosceles triangle
4.
The legs of isosceles triangle are ______ and ______.
5.
The legs of right triangle are ______ and ______.
Classify the triangle by its angles and by its sides.
6.7.8.9.10.11.
Classify the sentence with
always
,
sometimes
, or
never
.
12.
An equilateral triangle is ______ an isosceles triangle.
13.
An isosceles triangle is ______ an equilateral triangle.
14.
A right triangle is ______ an acute triangle.
15.
An exterior angle of a triangle is ______ acute.
Find the measure of the numbered angle.
16.17.18.
68
102
1253
33
1242
1115
108
75
75
30
ADB
ABC
ABC
.
AC
BDC
.
BD
BDC
.
BC
AB C D
BD
AC
.
AB
BC
L e s s on4 .1
30
Geometry
Chapter 4 Resource Book
Copyright © McDougal Littell Inc. All rights reserved.
Practice A
For use with pages 202–210
4.2
LESSON
N
AME
_________________________________________________________D
ATE
___________
1.
Given name three
2.
Given name threepairs of congruent sides.pairs of congruent angles.
3.
Copy the congruent triangles shown at the right.Then label the vertices of your triangles so thatIdentify all pairs of congruent
corresponding angles
and
corresponding sides
.
In the diagram, Complete the statement.
4.5.6.7.8.9.
Complete this statement.
10.
If then .
11.
If then .
12.
If then .
13.
If then .
14.
If then .
15.
If then .
Identify any figures that can be proved congruent. Explain your reasoning.For those that can be proved congruent, write a congruence statement.
16.17.18.19.
I H K J LM N P Q O W Y X Z A B D C
M
PMC
LDX
,
KRH
RHK
WVO
,
XC
JCX
MWP
,
PS
SVP
MTQ
,
T
BGT
DSN
,
WR
WRD
PLK
,
ETJ
ML
m
T
m
M
MK
L
32
M J L K
85
6 cm
T E
MKL
JET
.
RUV
TNF
.
N Q M P O R AB C F E D
MNO
PQR
,
ABC
DEF
,
L e s s o n 4 . 2
Geometry
45
Chapter 4 Resource Book
Copyright © McDougal Littell Inc. All rights reserved.
Practice A
For use with pages 212–219
4.3
LESSON
N
AME
_________________________________________________________D
ATE
___________
Use the diagram. Name the included angle between the pair of sides given.
1.
and
2.
and
3.
and
4.
and
5.
and
6.
and
For each pair of congruent triangles, name the pairs of corresponding sides.
7.8.9.
Decide whether enough information is given to prove that thetriangles are congruent. If there is enough information, state thecongruence postulate you would use.
10.11.12.13.14.15.
Complete the proof by supplying the reasons.
16.
Given:
O
is the midpoint of .
O
is the midpoint of .
Prove:
N M O P Q
MON
QOP NP MQ
AT R G E LN O V K AD S T
TRA
,
GRA
ENV
,
LOV
DKA
,
TKS
K LH J
M T E AX Y W Z
KHJ
,
KLJ
MAE
,
TAE
XYW
,
ZWY
PWR
ADE
DCT
FLG
ABC
TDF QR RT TM MR RQTQ MR RT
M T R Q
RT TQTR MT
L e s s on4 . 3
StatementsReasons1.
O
is the midpoint of .
1.2.2.3.
O
is the midpoint of .
3.4.4.5.5.6.6.
?
MON
QOP
?
MON
QOP
?
NO
PO
?
NP
?
MO
QO
?
MQ
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