subject
Mathematics, 16.10.2020 08:01 jaydaxox15

The figure below shows the 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
Definition of a Parallelogram
∠ADB ≅ ∠CBD 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?
Line segment AB is congruent to line segment CD.
Line segment BE is congruent to line segment AE.
Line segment BE is congruent to line segment CE.
Line segment BC is congruent to line segment AD.

ansver
Answers: 1

Other questions on the subject: Mathematics

image
Mathematics, 21.06.2019 17:00, nakin45
Which expression is equivalent to the expression shown?
Answers: 2
image
Mathematics, 21.06.2019 18:00, jenniferkane408
Look at arnold's attempt to solve the equation for b: 3b = 12 b = 3 · 12 b = 36 describe the mistake that arnold made.
Answers: 2
image
Mathematics, 21.06.2019 19:40, Funkyatayo
Graph y = -|x| + 2. click on the graph until the correct one appears.
Answers: 3
image
Mathematics, 21.06.2019 21:30, ashleyprescot05
Find the missing dimension! need asap! tiny square is a =3025 in ²
Answers: 1
You know the right answer?
The figure below shows the rectangle ABCD: Rectangle ABCD with diagonals AC and BD passing through...

Questions in other subjects: