Question

An isosceles trapezoid is a quadrilateral with two congruent legs, a pair of parallel bases, and congruent base angles. Prove the diagonals of an isosceles trapezoid are congruent. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted.

Answer 1

@AlexandervonHumboldt2

Answer 2

Prove the diagonals of an isosceles trapezoid are congruent.
easy:
AD=BC

Answer 3

AD=BC
<D=<C
DC=DC
thus the triangle ADC=BDC, thus AC=BD

Answer 4

AD=BC by what property? like what's the reasons for all of this?

Answer 5

AD=BC because it is given

Answer 6

sorry if that's a silly question, I just don't want to possibly leave anything out that could get me points marked off

Answer 7

it is because it is the issoceles trapeziod

Answer 8

<D=<C because it is given.

Answer 9

DC=DC reflexive property

Answer 10

then we use SAS