what’s the nature of this quadrilateral? | Mathematics | Page 1

lapis pondBOT Apr 18, 2023, 3:18 PM

#

jaunty shard Apr 18, 2023, 3:21 PM

#

i think it's rhombus

turbid echo Apr 18, 2023, 3:27 PM

#

In triangle ADC, side AD is congruent to side CD because of the converse of the base angles theorem. You can use alternate interior angles to repeat this in the other triangle and then you have a parallelogram with 4 congruent sides i.e. a rhombus.

#

You would need to show that both diagonals bisect a pair of opposite angles, so that method would require more proof.

#

Ah ok

#

I have to go, I'll check back later today.

jaunty shard Apr 18, 2023, 3:33 PM

#

or you can show that abc is an isosceles triangle and it turns out that ad = cd and if abcd is a parallelogram and ad = cd then it turns out that abcd is a rhombus

#

not abc

#

adc*

#

np

#

nah

#

me neither

#what’s the nature of this quadrilateral?