In quadrilateral ABCD, diagonals AC and BD bisect one another:

What statement is used to prove that quadrilateral ABCD is a parallelogram?

Angles BAD and ADC are congruent.

Corresponding angles BCD and CDA are supplementary.

Sides CD and DA are congruent.

Vertical angles BPA and DPC are congruent.

Correct answer is D.

AP = PC
BP = PD
[tex]\angle{BPA}=\angle{DPC}[/tex]
[tex]\triangle{ABP} \cong \triangle{DPC} \Rightarrow AB=CD[/tex]

AP = PC
BP = PD
[tex]\angle{APD}=\angle{CPB}[/tex]
[tex]\triangle{APD} \cong \triangle{CPB} \Rightarrow AD=CB[/tex]

The opposite sides of quadrilateral ABCD are equal. Therefore, quadrilateral ABCD is a parallelogram.

Answer Link

krishadhimar krishadhimar · Answer 2 · 2018-10-23T04:18:43+02:00

krishadhimar krishadhimar

23-10-2018

Your answer is D!hope i helped

Answer Link

In quadrilateral ABCD, diagonals AC and BD bisect one another: What statement is used to prove that quadrilateral ABCD is a parallelogram? Angles BAD and ADC are congruent. Corresponding angles BCD and CDA are supplementary. Sides CD and DA are congruent. Vertical angles BPA and DPC are congruent.

Respuesta :

Otras preguntas