Question

Construct a quadrilateral which is not a parallelogram, in which a pair of opposite angles and a pair of opposite sides are equal.

Answer 1

@nathan917 HELP PLease

Answer 2

You trying to prove that the quadrilateral is a parallelogram? or no.

Answer 3

ya ok

Answer 4

What to do now ?

Answer 5

sec.

Answer 6

thank you Sir

Answer 7

A quadrilateral is a parallelogram if one pair of opposite sides are equal and parallel

Let ABCD be a quadrilateral in which AB||CD and AB=CD, where || means parallel to.

Construct line AC and create triangles ABC and ADC.

Now, in triangles ABC and ADC,

AB=CD (given)

AC = AC (common side)

Angle BAC=Angle ACD

(corresponding parts of corresponding triangles or CPCTC)

Triangle ABC is congruent to triangle CDA by Side Angle Side

Angle BCA =Angle DAC by CPCTC

And since these are alternate angles, AD||BC.

Thus in the quadrilateral ABCD, AB||CD and AD||BC.

We conclude ABCD is a parallelogram.

This look correct?

Answer 8

@goformit100

Answer 9

ok Thanks again

Answer 10

Thank you @nathan917

Answer 11

http://openstudy.com/study#/updates/518c1aabe4b0cf6dd8f3a8b6