Prove parallelogram properties

NY.Math: GEO‑G.CO.11

Google Classroom

Microsoft Teams

Problem

Branson wants to prove that the diagonals in a rectangle are congruent.

[A][B][C][D]

Select the appropriate rephrased statement for Branson's proof.

Choose 1 answer:

Choose 1 answer:

(Choice A)   

In quadrilateral [ABCD], if [\overline{AB}\parallel\overline{DC}] and [\overline{AD}\parallel\overline{BC}], then [m\angle A=m\angle B=m\angle C=m\angle D=90\degree].

A

In quadrilateral [ABCD], if [\overline{AB}\parallel\overline{DC}] and [\overline{AD}\parallel\overline{BC}], then [m\angle A=m\angle B=m\angle C=m\angle D=90\degree].

(Choice B)   

In quadrilateral [ABCD], if [m\angle A=m\angle B=m\angle C=m\angle D=90\degree], then [\overline{AB}\parallel\overline{DC}] and [\overline{AD}\parallel\overline{BC}].

B

In quadrilateral [ABCD], if [m\angle A=m\angle B=m\angle C=m\angle D=90\degree], then [\overline{AB}\parallel\overline{DC}] and [\overline{AD}\parallel\overline{BC}].

(Choice C)   

In quadrilateral [ABCD], if [\overline{AC}\cong\overline{BD}], then [m\angle A=m\angle B=m\angle C=m\angle D=90\degree].

C

In quadrilateral [ABCD], if [\overline{AC}\cong\overline{BD}], then [m\angle A=m\angle B=m\angle C=m\angle D=90\degree].

(Choice D)   

In quadrilateral [ABCD], if [m\angle A=m\angle B=m\angle C=m\angle D=90\degree], then [\overline{AC}\cong\overline{BD}].

D

In quadrilateral [ABCD], if [m\angle A=m\angle B=m\angle C=m\angle D=90\degree], then [\overline{AC}\cong\overline{BD}].

Related content

Video 8 minutes 30 seconds

8:30

Proof: Opposite sides of a parallelogram

Video 9 minutes 6 seconds

9:06

Proof: Diagonals of a parallelogram

Video 4 minutes 8 seconds

4:08

Proof: Opposite angles of a parallelogram

Video 4 minutes 4 seconds

4:04

Proof: Rhombus diagonals are perpendicular bisectors