Homework Help is Here – Start Your Trial Now!
Math
Geometry
Give M Prove Qual ABCD is a paragran D

Give M Prove Qual ABCD is a paragran D

Elementary Geometry For College Students, 7e
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.CT: Test
Problem 1CT
See similar textbooks
icon
Related questions
Question
100%

proofs please help image attached

8. **Given:** \( BM = DM \), \( AM = CM \) **Prove:** Quadrilateral \( ABCD \) is a parallelogram. *Diagram Description:* A quadrilateral \( ABCD \) is shown with diagonals \( AC \) and \( BD \) intersecting at point \( M \). Segments \( BM \) and \( DM \) are marked as equal, and segments \( AM \) and \( CM \) are marked as equal. --- 9. **Given:** \( AB = CD \) and \( BC = AD \) **Prove:** Quadrilateral \( ABCD \) is a parallelogram. *Diagram Description:* A quadrilateral \( ABCD \) is drawn with opposite sides \( AB \) and \( CD \) marked as equal, as well as \( BC \) and \( AD \) marked as equal. --- 10. **Given:** Quadrilateral \( MARN \) is a parallelogram. **Prove:** \( \angle MAR = \angle RNM \) and \( \angle ARN = \angle NMA \) *Diagram Description:* A parallelogram \( MARN \) is shown. The task is to prove the equality of angles \( \angle MAR \) with \( \angle RNM \) and \( \angle ARN \) with \( \angle NMA \).
Transcribed Image Text:8. **Given:** \( BM = DM \), \( AM = CM \) **Prove:** Quadrilateral \( ABCD \) is a parallelogram. *Diagram Description:* A quadrilateral \( ABCD \) is shown with diagonals \( AC \) and \( BD \) intersecting at point \( M \). Segments \( BM \) and \( DM \) are marked as equal, and segments \( AM \) and \( CM \) are marked as equal. --- 9. **Given:** \( AB = CD \) and \( BC = AD \) **Prove:** Quadrilateral \( ABCD \) is a parallelogram. *Diagram Description:* A quadrilateral \( ABCD \) is drawn with opposite sides \( AB \) and \( CD \) marked as equal, as well as \( BC \) and \( AD \) marked as equal. --- 10. **Given:** Quadrilateral \( MARN \) is a parallelogram. **Prove:** \( \angle MAR = \angle RNM \) and \( \angle ARN = \angle NMA \) *Diagram Description:* A parallelogram \( MARN \) is shown. The task is to prove the equality of angles \( \angle MAR \) with \( \angle RNM \) and \( \angle ARN \) with \( \angle NMA \).
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS