Question

Prove this both sums

Answer 1

2 ans) given ABCD is rectangle....
AC is diagonal......
so,AB =CD
AD=BC
AC=AC.....therefore,ABC is congruent toADC

Answer 2

1) in ΔXYZ and ΔABC,

XZ = AC (both 8 cm)
YZ = AB (both 6 cm)
XY = BC(both 7cm)

thus,
ΔXYZ is congruent to ΔABC, by SSS congruence rule as three sides are equal

2)in ΔABC and ΔADC,
DC = AB ( opp.sides of rectangles are equal)
AD = BC (opp.sides of rectangles are equal)
AC= AC (diagnol common to both)

so ΔABC is congruent to ΔADC, by SSS congruence rule as three sides are equal.


hope it helps!!!