Abcd is quadrilateral in which all four sifes ate equal .Show that both pairs of opposite sides are parallel.
Answers
Answered by
1
Answer:
Given: ABCD is a quadrilateral
And AB=BC=CD=DA
Construction: A diagonal AC is made
To prove: AB||CD and BC ||DA
In triangle ADC and triangle ABC
AD=BC
CD=AB
AC=AC
Then triangle ADC is congruent to triangle ABC
Hence, angle ACD = angleBAC(CP
CT)
They are also alt. Int. Angle
Hence, AB||CD
In the same way BC||DA
Step-by-step explanation:
Similar questions