You have to show that -AMP-AMQ- In the following proof- supply the missing reasons- - Steps Reasons- i-PM-QM i- ii-PMA-QMA ii- iii -AM-AM iii- iv -AMP-AMQ iv- -

Name: NCERT - Grade 07 - Mathematics - Congruence of Triangles - Q8
Uploaded: 2022-07-04T10:36:42+05:30
Description: [ Steps amp; Reasons; i) PM=QM amp; (i) Given; ii) ∠PMA=∠QMA ...

[ Steps amp; Reasons; i) PM=QM amp; (i) Given; ii) ∠PMA=∠QMA ...

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Standard VII

Mathematics

SAS Criteria for Congruency

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Question 3
You have to show that $Δ A M P ≅ Δ A M Q$ . In the following proof, supply the missing reasons:
$\begin{matrix} S t e p s & R e a s o n s i) P M = Q M & (i) i i) ∠ P M A = ∠ Q M A & (i i) i i i) A M = A M & (i i i) i v) Δ A M P ≅ Δ A M Q & (i v) \end{matrix}$

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$\begin{matrix} S t e p s & R e a s o n s i) P M = Q M & (i) G i v e n i i) ∠ P M A = ∠ Q M A & (i i) G i v e n i i i) A M = A M & (i i i) C o m m o n i v) Δ A M P ≅ Δ A M Q & (i v) S A S c o n g r u e n c e r u l e \end{matrix}$

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Q. You have to show that

Δ A M P ≅ Δ A M Q

.
In the following proof, supply the missing reasons.

Steps	Reasons
(i) $P M = Q M$	(i) ...
(ii) $∠ P M A = ∠ Q M A$	(ii) ...
(iii) $A M = A M$	(iii) ...
(iv) $Δ A M P ≅ Δ A M Q$	(iv) ...

You have to show that ΔAMP ≅ AMQ.

In the following proof, supply the missing reasons.

-	Steps	-	Reasons
(i)	PM = QM	(i)	…
(ii)	∠PMA = ∠QMA	(ii)	…
(iii)	AM = AM	(iii)	…
(iv)	ΔAMP ≅ ΔAMQ	(iv)	…

Q. You have to show that

Δ A M P ≅ Δ A M Q

. In the following proof, supply the missing reasons:

\begin{matrix} S t e p s & R e a s o n s i) P M = Q M & (i) i i) ∠ P M A = ∠ Q M A & (i i) i i i) A M = A M & (i i i) i v) Δ A M P ≅ Δ A M Q & (i v) \end{matrix}

Q. To show that

Δ A M P ≅ Δ A M Q

, fill the missing reasons:

\begin{matrix} S t e p s & R e a s o n s i) P M = Q M & i) i i) ∠ P M A = ∠ Q M A & i i) i i i) A M = A M & i i i) i v) Δ A M P ≅ Δ A M Q & i v) \end{matrix}

Q. Find the missing number in the following table:

\begin{matrix} 4 & 4 & 68 5 & 1 & 126 7 & 5 & ? \end{matrix}

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SAS Criteria for Congruency

Standard VII Mathematics

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Question 3 You have to show that ΔAMP≅ΔAMQ. In the following proof, supply the missing reasons: StepsReasonsi) PM=QM(i)ii) ∠PMA=∠QMA(ii)iii) AM=AM(iii)iv)ΔAMP≅ΔAMQ(iv)

StepsReasonsi) PM=QM(i) Givenii) ∠PMA=∠QMA(ii) Giveniii) AM=AM(iii) Commoniv)ΔAMP≅ΔAMQ(iv) SAS congruence rule

Question 3
You have to show that $Δ A M P ≅ Δ A M Q$ . In the following proof, supply the missing reasons:
$\begin{matrix} S t e p s & R e a s o n s i) P M = Q M & (i) i i) ∠ P M A = ∠ Q M A & (i i) i i i) A M = A M & (i i i) i v) Δ A M P ≅ Δ A M Q & (i v) \end{matrix}$

$\begin{matrix} S t e p s & R e a s o n s i) P M = Q M & (i) G i v e n i i) ∠ P M A = ∠ Q M A & (i i) G i v e n i i i) A M = A M & (i i i) C o m m o n i v) Δ A M P ≅ Δ A M Q & (i v) S A S c o n g r u e n c e r u l e \end{matrix}$