Elementary Geometry For College Students, 7e

7th Edition

ISBN: 9781337614085

Author: Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher: Cengage,

*expand_more*

*expand_more*

*format_list_bulleted*

Question

Prove that if the diagonals of a quadrilateral ABCD bisect each other, then ABCD is a parallelogram.

Expert Solution

Trending nowThis is a popular solution!

Step by stepSolved in 3 steps with 3 images

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.Similar questions

If the diagonals of a parallelogram are perpendicular and congruent, what can you conclude regarding the parallelogram?

*arrow_forward*

Are quadrilaterals ABCD and EFGH congruent aif both are squares and ABEF? bif each is a rhombus and ABEF?

*arrow_forward*

Each side of square RSTV has length 8. Point W lies on VR- and point Y lies on TS- in such a way to form parallelogram VWSY, which has an area of 16units2. Find the length of VW-.

*arrow_forward*

Would the theorem of Exercise 7 remain true for a concave quadrilateral like the one shown?

*arrow_forward*

What type of trapezoid a has congruent diagonals. b has congruent base angles.

*arrow_forward*

In the drawing, suppose that WY and XZ bisect each other. What type of quadrilateral is WXYZ?

*arrow_forward*

In Exercises 31 to 34, apply a form of Theorem 3.5.10. Prove by the indirect method: The length of a diagonal of a square is not equal in length to the length of any of the sides of the square.

*arrow_forward*

Prove that if semicircles are constructed on each of the sides of a right triangle, then the area of the semicircle on the hypotenuse is equal to the sum of the areas of the semicircles on the two legs.

*arrow_forward*

In Exercises 25 to 28, write a formal proof of each theorem or corollary. If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

*arrow_forward*

*arrow_back_ios*

*arrow_forward_ios*

Recommended textbooks for you

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...

Algebra

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Elementary Geometry for College Students

Geometry

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Cengage Learning

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...

Algebra

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Elementary Geometry for College Students

Geometry

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Cengage Learning