subject
Mathematics, 11.10.2021 14:00 bri9263

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

The following two-column proof with a 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
Alternate interior angles theorem
Line segment BC is congruent to line segment AD. 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?
A. ∠ABD ≅ ∠DBC
B. ∠CAD ≅ ∠ACB
C. ∠BDA ≅ ∠BDC
D. ∠CAB ≅ ∠ACB

ansver
Answers: 2

Another question on Mathematics

question
Mathematics, 21.06.2019 15:00
Flashback to semester a. are triangles pqr and stu congruent? what is the congruency that proves they are congruent? what is the perimeter of triangle pqr? show your work.
Answers: 2
question
Mathematics, 21.06.2019 20:30
What is the axis of symmetry of the function f(x)=-(x+ 9)(x-21)
Answers: 2
question
Mathematics, 21.06.2019 21:10
Starting at home, emily traveled uphill to the hardware store for 606060 minutes at just 666 mph. she then traveled back home along the same path downhill at a speed of 121212 mph. what is her average speed for the entire trip from home to the hardware store and back?
Answers: 1
question
Mathematics, 21.06.2019 23:40
What is the slope of (0,32) and (100,212)
Answers: 2
You know the right answer?
The figure below shows rectangle ABCD: Rectangle ABCD with diagonals AC and BD passing through poi...
Questions
question
English, 20.11.2020 18:50
question
Geography, 20.11.2020 18:50
question
History, 20.11.2020 18:50
question
Mathematics, 20.11.2020 18:50
question
Mathematics, 20.11.2020 18:50
question
Mathematics, 20.11.2020 18:50
question
Mathematics, 20.11.2020 18:50
Questions on the website: 13722362