Question

Plz,clear my confusion ​

Answer 1

★ Concept:-

Here in this question, concept of parellel sides as well as congruency rule is used. We have given a figure and we have to answer the given problems. We can solve it by using following method.

So let's start!!

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★ Given:-

• AB||CD

• AB=CD

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★ To Find:-

(1.) Is ∠BAC=∠DCA? Why?

(2.) Is ∆ABC≅∆CDA by SAS congruency condition?

(3.) State the three facts that you have used to answer (2).

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★ Solution:-

(1.)  Yes, ∠BAC=∠DCA by Alternate Interior angle property.

(2.) Yes.

(3.) The three conditions which I used in above question are:-

⇒ AB=CD [Given]

⇒ ∠BAC=∠DCA [Proved in part (1.)]

⇒ AC=AC [Common in both triangles]

Hence ∆ ABC≅∆CDA [By SAS]

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★ Learn More!!

Angles relation in parellel sides:-

• Sum of linear pair angles is always 180°.

• Alternate Interior and exterior angles are always equal.

• Corresponding angles are always equal.

• Sum of co- interior angle is 180°.

• Vertically opposite angles are always equal.

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