A sphere fits exactly into an open cubical box of side 25cm. Calculate the following: a) The surface area of the sphere b) The volume of the sphere

A. AC = AC

Step-by-step explanation:

Given: In a quadrilateral ABCD, the diagonals intersect at point T.

Byron has used the Alternate Interior Angles Theorem to show ∠DAC≅∠BCA

and ∠BAC≅∠DCA

From the given options, we can only use option A i.e. AC=AC [reflexive property] such that

In ΔADC and ΔABC

∠DAC≅∠BCA  [ given ]

∠BAC≅∠DCA  [ given ]

AC=AC [reflexive property]

⇒ΔADC ≅ ΔABC [ASA congruency criteria]

Thus AD=BC [corresponding parts of congruent triangles are congruent]