المعطيات : Q P ‾ ≅ Q R ‾ , P S ‾ ≅ R S ‾ \overline{QP}\ \ \cong\overline{QR}\ ,\ \overline{PS}\cong\overline{RS} Q P ≅ Q R , P S ≅ R S اثبت أن Δ Q P S ≅ Δ Q R S \Delta QPS\cong\Delta QRS Δ Q P S ≅ Δ Q R S

Q S ‾ ≅ Q S ‾ خ ا ص ي ة ا ل ا ن ع ك ا س \overline{QS}\cong\overline{QS}\ خاصية\ الانعكاس Q S ≅ Q S خ ا ص ي ة ا ل ا ن ع ك ا س

∠ P ≅ ∠ S م س ل م ة A A S \angle P\cong\angle S\ مسلمة\ AAS ∠ P ≅ ∠ S م س ل م ة A A S

المعطيات : A B ‾ ≅ C B ‾ , ∠ A B D ≅ ∠ C B D \overline{AB}\cong\overline{CB}\ \ ,\angle ABD\cong\angle CBD A B ≅ C B , ∠ A B D ≅ ∠ C B D Δ A B D , Δ C B D \Delta ABD\ ,\ \Delta CBD Δ A B D , Δ C B D اثبت ان:

B D ‾ ≅ B D ‾ م س ل م ة S A S \overline{BD}\ \ \cong\overline{BD}\ \ \ مسلمة\ SAS B D ≅ B D م س ل م ة S A S

B D ‾ ≅ B D ‾ م س ل م ة S S S \overline{BD}\cong\overline{BD}\ مسلمة\ SSS B D ≅ B D م س ل م ة S S S

B D ‾ ≅ B D ‾ م س ل م ة A A S \ \overline{BD}\cong\overline{BD}\ \ مسلمة\ AAS B D ≅ B D م س ل م ة A A S

B D ‾ ≅ B D ‾ م س ل م ة A S A \overline{BD}\ \cong\overline{BD}\ مسلمة\ ASA B D ≅ B D م س ل م ة A S A

A C ‾ ≅ B C ‾ , ∠ C A B ≅ ∠ C A B \overline{AC}\cong\overline{BC}\ \ ,\ \angle CAB\cong\angle CAB A C ≅ B C , ∠ C A B ≅ ∠ C A B المعطيات اثبت أن Δ C A B ≅ Δ D A B \Delta CAB\cong\Delta DAB Δ C A B ≅ Δ D A B

A B ‾ ≅ A B ‾ م س ل م ة S A S \overline{AB}\ \cong\overline{AB}\ مسلمة\ SAS A B ≅ A B م س ل م ة S A S

A B ‾ ≅ A D ‾ م س ل م ة S A S \overline{AB}\cong\overline{AD}\ مسلمة\ SAS A B ≅ A D م س ل م ة S A S

C A ‾ ≅ B A ‾ م س ل م ة S S S \overline{CA}\cong\overline{BA}\ مسلمة\ SSS C A ≅ B A م س ل م ة S S S

∠ C ≅ ∠ B م س ل م ة A S A \angle C\cong\angle B\ مسلمة\ ASA ∠ C ≅ ∠ B م س ل م ة A S A

نظريات إثبات الملثات

Authored by sumaia Abdu

Mathematics

9th Grade

Used 4+ times

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

يتطابق المثلثان حسب نظرية

AAS

ASA

SSS

SAS

MULTIPLE CHOICE QUESTION

1 min • 1 pt

المعطيات : $\overline{QP}\ \ \cong\overline{QR}\ ,\ \overline{PS}\cong\overline{RS}$
اثبت أن $\Delta QPS\cong\Delta QRS$

$\overline{QS}\cong\overline{QS}\ خاصية\ الانعكاس$

المثلثان غير متطابقان

$\angle P\cong\angle S\ مسلمة\ AAS$

SAS

MULTIPLE CHOICE QUESTION

1 min • 1 pt

ما نظرية التطابق ؟

SSS

ASA

AAS

SAS

MULTIPLE CHOICE QUESTION

1 min • 1 pt

ΔABC≌Δ?

FED

EFD

DEF

EDF

MULTIPLE CHOICE QUESTION

1 min • 1 pt

المعطيات : $\overline{AB}\cong\overline{CB}\ \ ,\angle ABD\cong\angle CBD$

$\Delta ABD\ ,\ \Delta CBD$ اثبت ان:

$\overline{BD}\cong\overline{BD}\ مسلمة\ SSS$

$\overline{BD}\ \ \cong\overline{BD}\ \ \ مسلمة\ SAS$

$\ \overline{BD}\cong\overline{BD}\ \ مسلمة\ AAS$

$\overline{BD}\ \cong\overline{BD}\ مسلمة\ ASA$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

AAS

SAS

ASA

SSS

MULTIPLE CHOICE QUESTION

1 min • 1 pt

تطابق المثلثان حسب مسلمة

AAS

ASA

SAS

SSS

MULTIPLE CHOICE QUESTION

1 min • 1 pt

$\overline{AC}\cong\overline{BC}\ \ ,\ \angle CAB\cong\angle CAB$ المعطيات
اثبت أن $\Delta CAB\cong\Delta DAB$

$\overline{AB}\cong\overline{AD}\ مسلمة\ SAS$

$\overline{CA}\cong\overline{BA}\ مسلمة\ SSS$

$\angle C\cong\angle B\ مسلمة\ ASA$

$\overline{AB}\ \cong\overline{AB}\ مسلمة\ SAS$

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نظريات إثبات الملثات

يتطابق المثلثان حسب نظرية

المعطيات : QP‾ ≅QR‾ , PS‾≅RS‾\overline{QP}\ \ \cong\overline{QR}\ ,\ \overline{PS}\cong\overline{RS}QP​ ≅QR​ , PS≅RS اثبت أن ΔQPS≅ΔQRS\Delta QPS\cong\Delta QRSΔQPS≅ΔQRS

ما نظرية التطابق ؟

ΔABC≌Δ?

المعطيات : AB‾≅CB‾ ,∠ABD≅∠CBD\overline{AB}\cong\overline{CB}\ \ ,\angle ABD\cong\angle CBDAB≅CB ,∠ABD≅∠CBD ΔABD , ΔCBD\Delta ABD\ ,\ \Delta CBDΔABD , ΔCBD اثبت ان:

تطابق المثلثان حسب مسلمة

AC‾≅BC‾ , ∠CAB≅∠CAB\overline{AC}\cong\overline{BC}\ \ ,\ \angle CAB\cong\angle CABAC≅BC , ∠CAB≅∠CAB المعطياتاثبت أن ΔCAB≅ΔDAB\Delta CAB\cong\Delta DABΔCAB≅ΔDAB

المثلثان متطابقان باستخدام مسلمة

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المعطيات : $\overline{QP}\ \ \cong\overline{QR}\ ,\ \overline{PS}\cong\overline{RS}$
اثبت أن $\Delta QPS\cong\Delta QRS$

المعطيات : $\overline{AB}\cong\overline{CB}\ \ ,\angle ABD\cong\angle CBD$

$\Delta ABD\ ,\ \Delta CBD$ اثبت ان:

$\overline{AC}\cong\overline{BC}\ \ ,\ \angle CAB\cong\angle CAB$ المعطيات
اثبت أن $\Delta CAB\cong\Delta DAB$