   Chapter 4.CR, Problem 18CR Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Review Exercises In quadrilateral A B C D , M is the midpoint only of B D - and A C - ⊥ D B - at M . What special type of quadrilateral is A B C D ?

To determine

To Find:

The type of quadrilateral which satisfies the conditions provided.

Explanation

Properties Used:

1. Diagonals are perpendicular to each other.

2. One of the diagonals bisects other.

Definition:

A kite is a quadrilateral with two distinct pairs of congruent adjacent sides.

Calculation:

It is given that ABCD is a quadrilateral with M is the only midpoint of the line BD-.

Also given that the line AC- and DB- are perpendicular at M.

Therefore, the lines AC- and DB- must be diagonals and which meet at a point M.

The diagonals are perpendicular to each other.

As per the property, the diagonal AC- bisect the diagonal BD- at M

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