subject
Mathematics, 12.11.2021 02:50 klpatrick853

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

ansver
Answers: 3

Other questions on the subject: Mathematics

image
Mathematics, 21.06.2019 15:10, sunshine52577oyeor9
Which of the following is a proper fraction? a. 9⁄8 b. 5⁄6 c. 7⁄3 d. 4⁄2
Answers: 2
image
Mathematics, 21.06.2019 21:00, recon12759
Is there an x intercept in the equation 60*1.15^x
Answers: 3
image
Mathematics, 22.06.2019 00:00, Jasoncookies23
Awindow has the shape of a rectangle with a semi circle at the top. find the approximate area of the window using the dimensions shown. 4ft by 8ft
Answers: 1
image
Mathematics, 22.06.2019 01:00, bbyniah123
Ameteorologist is studying the monthly rainfall in a section of the brazilian rainforest. she recorded the monthly rainfall, in inches, for last year. they were: 10.4, 10.3, 11.7, 11.1, 8.0, 4.4, 2.6, 1.8, 2.5, 4.4, 7.3, 9.5 fill in the missing values in the formula. what is the variance?
Answers: 1
You know the right answer?
The figure below shows rectangle ABCD: Rectangle ABCD with diagonals AC and BD passing through po...

Questions in other subjects:

Konu
Mathematics, 13.09.2020 05:01
Konu
English, 13.09.2020 05:01
Konu
Mathematics, 13.09.2020 05:01
Konu
Mathematics, 13.09.2020 05:01
Konu
Mathematics, 13.09.2020 05:01
Konu
Biology, 13.09.2020 05:01
Konu
Mathematics, 13.09.2020 05:01
Konu
Mathematics, 13.09.2020 05:01
Konu
Mathematics, 13.09.2020 05:01
Konu
Mathematics, 13.09.2020 05:01