Mathematics
Mathematics, 22.10.2020 04:01, stichgotrich849

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?
∠ADB ≅ ∠CBD
∠ABE ≅ ∠ADE
∠ACD ≅ ∠ACE
∠ACE ≅ ∠CBD

answer
Answers: 1

Other questions on the subject: Mathematics

image
Mathematics, 21.06.2019 15:00, rudolph34
Alake near the arctic circle is covered by a 222-meter-thick sheet of ice during the cold winter months. when spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. after 333 weeks, the sheet is only 1.251.251, point, 25 meters thick. let s(t)s(t)s, left parenthesis, t, right parenthesis denote the ice sheet's thickness sss (measured in meters) as a function of time ttt (measured in weeks).
Answers: 1
image
Mathematics, 21.06.2019 16:20, amortegaa805
Which best explains why this triangle is or is not a right triangle?
Answers: 1
image
Mathematics, 21.06.2019 18:50, savannahvargas512
The volume of a cone is 37x3 cubic units and its height is x units. which expression represents the radius of the cone's base, in units? 1 s o 3x o 6x obx 93x2
Answers: 1
image
Mathematics, 21.06.2019 19:30, autumnplunkett09
Runner ran 1 4/5 miles on monday and 6 3/10 on tuesday. how many times her monday’s distance was her tuesdays distance
Answers: 1
Do you know the correct answer?
The figure below shows rectangle ABCD: Rectangle ABCD with diagonals AC and BD passing through poin...

Questions in other subjects:

Konu
History, 20.03.2020 10:55
Konu
Mathematics, 20.03.2020 10:55