Mathematics
Mathematics, 12.11.2021 03:20, jaylaa04

The figure below shows rectangle ABCD: Rectangle ABCD with diagonals AC and BD passing through point E

The following two-column proof with missing statement proves that the diagonals of the rectangle bisect each other:

Statement Reason
ABCD is a rectangle. Given
Line segment AB and Line segment CD are parallel. Definition of a Parallelogram
Line segment AD and Line segment BC are parallel. Definition of a Parallelogram
∠CAD ≅ ∠ACB Alternate interior angles theorem
Line segment BC is congruent to line segment AD. Definition of a Parallelogram
Alternate interior angles theorem
ΔADE ≅ ΔCBE Angle-Side-Angle (ASA) Postulate
Line segment BE is congruent to line segment DE. CPCTC
Line segment AE is congruent to line segment CE. CPCTC
Line segment AC bisects Line segment BD Definition of a bisector

Which statement can be used to fill in the blank space?

Question 2 options:

∠ADB ≅ ∠CBD

∠ABE ≅ ∠ADE

∠ACD ≅ ∠ACE

∠ACE ≅ ∠CBD

answer
Answers: 1

Other questions on the subject: Mathematics

image
Mathematics, 21.06.2019 15:00, deaishaajennings123
Which property is illustrated by the following statement? if hxa rgi, then rgi hxa.
Answers: 1
image
Mathematics, 21.06.2019 15:30, Quickshotgirl
Which is the length of the hypotenuse of the triangle a. 94ft b. 214 ft c. 33ft d. 37 ft
Answers: 1
image
Mathematics, 21.06.2019 17:30, davidgarcia522083
Which expression can be used to determine the slope of the line that passes through the points -6, three and one, -9
Answers: 3
image
Mathematics, 21.06.2019 18:00, SunsetPrincess
Solve this equation using substitution. {4x + y = −2} {4x + 6y = 44}
Answers: 1
Do you know the correct answer?
The figure below shows rectangle ABCD: Rectangle ABCD with diagonals AC and BD passing through po...

Questions in other subjects:

Konu
English, 08.06.2020 18:57
Konu
Biology, 08.06.2020 18:57
Konu
Engineering, 08.06.2020 18:57
Konu
Mathematics, 08.06.2020 18:57