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Marina CMI [18]
3 years ago
8

Note: make x the subject​

Mathematics
1 answer:
nevsk [136]3 years ago
4 0

Answer:

Step-by-step explanation:

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Given: ABCD is a parellelogram.<br><br> Prove: AB=CD and BC=DA
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Step-by-step explanation:

We have given a parallelogram ABCD.

For a parallelogram,

Opposite pair of sides are parallel to each other.

i.e AD is parallel to BC and AB is parallel to CD.

From the attached figure,

∡1 = ∡4  and  ∡2 = ∡3    {If two parallel lines cut by a transversal line then alternate interior angles are congruent }

Next, AC ≅ AC  {Reflexive identity}

hence, ΔABC ≅ ΔCDA   , By Angle-Side-Angle(ASA) congruent property of triangle.

Therefore, AB = CD  and AD = BC   {Proved}


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