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1. To examine the congruency of plane figures, the superposition method is used.

2. If two line segments have different lengths, they are congruent.

3. The measure of two congruent angles is the same.

4. Object which are exact copies of one another are called plane objects.

5. If the corresponding angles of two triangles are equal, the triangles are said to be congruent.

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Given below are measurements of some parts of two triangles.Examine whether the two triangles are congruent or not,using RHS congruence rule.In case of congruent triangles, write the result in symbolic form:

$△ABC$ has $∠B=90_{∘},AC=8$cm, $AB=3$cm and

$△PQR$ has $∠P=90_{∘},PR=3$cm, $QR=8$cm

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Prove that :

$AM=AN$

$ΔAMC≅ΔANB$

$BN=CM$

$ΔBMC≅ΔCNB$

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In the given figures, the sides AB and BC and the median AD of $Δ$ ABC are respectively equal to the sides PQ and QR and median PS of

$Δ$ PQR. Hence $ΔABC$ and $ΔPQR$ are right-angled triangles.

**If the above statement is true then mention answer as 1, else mention 0 if false.**

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$(i)△ABD≅△BAC$

$(ii)BD=AC$

$(iii)∠ABD=∠BAC.$

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ABCD is a parallelogram. The sides AB and AD are produced to E and F respectively, such that AB = BE and AD = DF.

Hence $ΔBEC≅ΔDCF$.

**State whether the above statement is true or false.**

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Show that:$OB=OC$

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