Prove that a rectangle has congruent diagonals. Be sure to create and name the appropriate geometric figures.

Question

karankhullar0920 · Answer

please help asap need help badly

Vocaloid · Answer

|dw:1562877958166:dw|

Vocaloid · Answer

then diagonals AC and BD

|dw:1562877995167:dw|

Vocaloid · Answer

by definition AB and DC are congruent, and AD and BC are congruent, since rectangles have two pairs of opposite congruent sides

|dw:1562878037695:dw|

karankhullar0920 · Answer

thank you guys soooo much you saved my life

slipknot3066 · Answer

Vocaloid did all the work smh, i just watched..

karankhullar0920 · Answer

still you guys helped so thxs

karankhullar0920 · Answer

vocaloid is there more to add

Vocaloid · Answer

The 4 angles <A <B <C <D are all 90 degree angles by the definition of a rectangle

From there you have two right triangles, ACD and BDC, apply the Pythagorean theorem to each triangle to prove that the hypotenuses are congruent, and thus the diagonals are congruent

karankhullar0920 · Answer

thx you soooooooooooooo much vocaloid