Consider parallelogram ABCD. A B E How can it be proven that the diagonals bisect each other? Drag tiles to the empty boxes to correctly complete each part of the proof. AB || DC because it is AB DC because opposite sides of parallelograms are congruent. ZBAC = ZDC A because they are angles. ZAEB 2 LCED because they are angles. AAEB ACED because BE = DE and AE CE because corresponding parts of congruent triangles are congruent. So, AC bisects BD and BD bisects AC because of the definition of a segment bisector. AAS ASA SAS SS given corresponding vertical alternate interior alternate exterior same-side interior
Consider parallelogram ABCD. A B E How can it be proven that the diagonals bisect each other? Drag tiles to the empty boxes to correctly complete each part of the proof. AB || DC because it is AB DC because opposite sides of parallelograms are congruent. ZBAC = ZDC A because they are angles. ZAEB 2 LCED because they are angles. AAEB ACED because BE = DE and AE CE because corresponding parts of congruent triangles are congruent. So, AC bisects BD and BD bisects AC because of the definition of a segment bisector. AAS ASA SAS SS given corresponding vertical alternate interior alternate exterior same-side interior
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.3: Informal Geometry And Measurement
Problem 22E: Square RSTV has diagonals RT and SV not shown. If the diagonals are drawn, how will their lengths...
Related questions
Question
![Consider parallelogram ABCD.
BOARD
A
В
SES
E
NDAR
C
How can it be proven that the diagonals bisect each other? Drag
tiles to the empty boxes to correctly complete each part of the
proof.
AB || DC because it is
AB = DC because opposite sides of parallelograms are
congruent.
ZBAC = ZDC A because they are
angles.
ZAEB = ZCED because they are
angles.
AAEB = ACED because
BE = DE and AE = CE because corresponding
parts of congruent triangles are congruent.
So, AC bisects BD and BD bisects AC because of the
definition of a segment bisector.
AAS
ASA
SAS
SS
given
corresponding
vertical
alternate interior
alternate exterior
same-side interior](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9077524a-201f-4f4f-bce2-844999e8ac13%2F58a0fac2-6955-4c9e-9f92-2b18e63e1c01%2Fkhcbcr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider parallelogram ABCD.
BOARD
A
В
SES
E
NDAR
C
How can it be proven that the diagonals bisect each other? Drag
tiles to the empty boxes to correctly complete each part of the
proof.
AB || DC because it is
AB = DC because opposite sides of parallelograms are
congruent.
ZBAC = ZDC A because they are
angles.
ZAEB = ZCED because they are
angles.
AAEB = ACED because
BE = DE and AE = CE because corresponding
parts of congruent triangles are congruent.
So, AC bisects BD and BD bisects AC because of the
definition of a segment bisector.
AAS
ASA
SAS
SS
given
corresponding
vertical
alternate interior
alternate exterior
same-side interior
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill