Read Extra_Proof_Practice_(4.3,4.4,4.5).pdf text version

Geometry Worksheet Congruent Triangles #3 Complete the proofs.

Name:

A 1. Given: AE CB , AB CD , and B is the midpoint of ED E Prove: AEB CBD B

C

D

(Hint: Draw the information on the picture as you know it.) statements 1. AE CB , AB CD , and B is the midpoint of ED 2. EB 3. AEB

DB

. 1.

reasons

.

2. CBD 3.

A 2. Given: AB BE , DE BE , AC and <BAC <EDC Prove: ABC DEC .

DC ,

DC ,

D

B C reasons 1.

E

statements 1. AB BE , DE BE , AC and <BAC <EDC 2. <B and <E are right angles 3. <B 4. <E DEC

.

2. 3. 4.

ABC

(over)

G 3. Given: GK Prove: GKM statements 1. GK 2. MK 3. GKM

ML , <GKM

K

ML , <GKM

<LMK

LMK M . <LMK 1. 2. 3. reasons L .

MK

LMK

S

4.

Given: <S Prove:

<R and XT bisects <SXR RXT

T

X

SXT

R statements 1. <S <R and XT bisects <SXR <RXT

XT

. 1. 2. 3. 4.

reasons

.

2. <SXT 3. XT 4. SXT

RXT

T 5. Given: FT Prove: FTS

FR and ST SR

F FRS

S R

statements 1. FT 2. 3.

FR and ST SR

. 1.

reasons

.

2. Reflexive Property 3.

M 6. Given: H is the midpoint of MK and QD Prove: QMH statements 1. 2. MH 3. <MHQ 4.

KH and QH DH

D

DKH Q . 1. Given 2. 3. 4.

H K reasons .

<KHD

S

7.

Given: SQ bisects <PSR and <P Prove: SQP SQR

<R P . Q reasons 1. 2. Definition of bisect 3. Reflexive Property R .

statements 1. SQ bisects <PSR and <P 2. 3. 4. SQP SQR <R

4.

8.

Given: RT bisects <QRS, <1 Prove: RTQ RTS

<2

statements 1. RT bisects <QRS, <1 2. <QRT 3. RT 4. RTQ <SRT

RT

. <2 1. 2. 3. 4.

reasons

.

RTS

(over)

T A 9. Given: TP Prove: ATP

AS , AP SP

S

STP . 1. 2. 3. 4. P reasons .

statements 1. TP

AS , AP SP

2. <ATP and <STP are right angles 3. ATP and STP are right triangles

TP

4. TP 5. ATP

STP

5.

B

E

10.

Given: BR and EV bisect each other Prove: BAE RAV V statements . 1. Given

RA and EA

VA

A

R reasons

.

1. 2. BA 3. <BAE 4. BAE

2. 3. 4.

<RAV RAV

11.

Given: <2 Prove: ABC

, <1

<4

CDA . 1. 2. 3. reasons .

statements 1. <2 2. 3. , <1 <4

12.

Given: <D and <B are right angles, AD Prove: ABC CDA .

CB

statements 1. <D and <B are right angles, AD

reasons 1. 2. 3.

.

CB

2. ABC and CDA are right triangles 3. 4. ABC CDA

4.

Information

Sch

5 pages

Report File (DMCA)

Our content is added by our users. We aim to remove reported files within 1 working day. Please use this link to notify us:

Report this file as copyright or inappropriate

57285


You might also be interested in

BETA
CONDITIONS OF PURCHASE GOODS AND SERVICES
Sch
Chapter 7 Resource Masters