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In the following figure, ∠1 = ∠2 and ∠3 = ∠4. Is ∆ADC ≅ ∆ABC? Why ? Show that AD = AB and CD = CB. - Mathematics

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प्रश्न

In the following figure, ∠1 = ∠2 and ∠3 = ∠4.

  1. Is ∆ADC ≅ ∆ABC? Why ?
  2. Show that AD = AB and CD = CB.

योग
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उत्तर

i. In ∆ADC and ∆ABC,

∠1 = ∠2  ...(Given)

AC = AC  ...(Common)

∠3 = ∠4  ...(Given)

∴ ∆ADC = ∆ABC  ...(ASA criterion)

ii. By using (i) part, we get

AD = AB  ...(By C.P.C.T.)

And CD = CB  ...(By C.P.C.T.)

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अध्याय 6: Triangles - Exercise [पृष्ठ १८४]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 7
अध्याय 6 Triangles
Exercise | Q 152. | पृष्ठ १८४

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