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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