Q14 Give the most descriptive name f... [FREE SOLUTION]

91影视

Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 5: Q14 (page 198)

Give the most descriptive name for quadrilateral MNOP.
$\overset{炉}{M N} 鈭� \overset{炉}{P O}; \overset{炉}{N O} 鈭� \overset{炉}{M P}; \overset{炉}{M O} 鈯� \overset{炉}{N P}$

Short Answer

Expert verified

The most descriptive name for quadrilateral MNOP where $\overset{炉}{M N} 鈭� \overset{炉}{P O}, \overset{炉}{N O} 鈭� \overset{炉}{M P}$ and $\overset{炉}{M O} 鈯� \overset{炉}{N P}$ is a rhombus.

Step by step solution

Step 1. Description of step.

In a rhombus the pair of opposite sides are parallel and the diagonals bisect each other at a right angle.

Step 2. Description of step.

It is being given that $\overset{炉}{M N} 鈭� \overset{炉}{P O}$ , $\overset{炉}{N O} 鈭� \overset{炉}{M P}$ and $\overset{炉}{M O} 鈯� \overset{炉}{N P}$ .

In the quadrilateral MNOP, it can be noticed that the sides $\overset{炉}{M N}$ , $\overset{炉}{P O}$ are the opposite sides and $\overset{炉}{N O}$ , $\overset{炉}{M P}$ are the opposite sides and $\overset{炉}{M O}$ , $\overset{炉}{N P}$ are the diagonals.

As, $\overset{炉}{M N} 鈭� \overset{炉}{P O}$ , $\overset{炉}{N O} 鈭� \overset{炉}{M P}$ and $\overset{炉}{M O} 鈯� \overset{炉}{N P}$ , therefore the pair of opposite sides are parallel and the diagonals intersect each other at right angles, therefore the quadrilateral MNOP is a rhombus.

Step 3. Write the most descriptive name for quadrilateral .

The most descriptive name for quadrilateral MNOP where $\overset{炉}{M N} 鈭� \overset{炉}{P O}$ , $\overset{炉}{N O} 鈭� \overset{炉}{M P}$ and $\overset{炉}{M O} 鈯� \overset{炉}{N P}$ is a rhombus.

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91影视

Give the most descriptive name for quadrilateral MNOP.
$\overset{炉}{M N} 鈭� \overset{炉}{P O}; \overset{炉}{N O} 鈭� \overset{炉}{M P}; \overset{炉}{M O} 鈯� \overset{炉}{N P}$

Short Answer

Step by step solution

Step 1. Description of step.

Step 2. Description of step.

Step 3. Write the most descriptive name for quadrilateral .

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91影视

Give the most descriptive name for quadrilateral MNOP.MN炉鈭�PO炉;NO炉鈭�MP炉;MO炉鈯�NP炉

Short Answer

Step by step solution

Step 1. Description of step.

Step 2. Description of step.

Step 3. Write the most descriptive name for quadrilateral .

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Calculus

Logic and Functions

Probability and Statistics

Mechanics Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Give the most descriptive name for quadrilateral MNOP.
$\overset{炉}{M N} 鈭� \overset{炉}{P O}; \overset{炉}{N O} 鈭� \overset{炉}{M P}; \overset{炉}{M O} 鈯� \overset{炉}{N P}$