Question

In the figure given below corresponding congruent parts are marked by identical marks. Show that :∆ABC=~ ∆ADC​

Answer 1

Answer:

In ∆ADC and ∆ABC, side AD ≅ side AB …..[Sides of a rhombus]  side DC ≅ side BC …..[Sides of a rhombus]  side AC ≅ side AC … [Common side]  ∆ADC ≅ ∆ABC … [By SSS test]  ∠DCA ≅ ∠BCA …[Corresponding angles of congruent triangles]  ∠DAC ≅ ∠BAC …[Corresponding angles of congruent triangles]  From the above steps, property of rhombus revealed is ‘diagonal of a rhombus bisect the opposite angles’.Read more on Sarthaks.com - https://www.sarthaks.com/856745/complete-activity-according-given-steps-draw-rhombus-abcd-draw-diagonal-congruent-parts

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