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In the figure below, diagonal AC of quadrilateral ABCD is bisector of ZC and A. Provethe igure below, diagonal AC ofthat AB AD and CB-CD |
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Answer» Given, AC is a bisector of ∠C and ∠ASo,∠CAB=∠DAC. --------(1)∠ACB=∠ACD. --------(2)Now, in triangles ABC and ADC∠CAB=∠DAC. (Given)∠ACB=∠ACD. (Given)AC=AC. (Common)So, by ASA triangle ABC is congruent to Triangle ADCSo by C.P.C.TAB=ADCB=CDHence proved. |
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