Chapter 5: Q14 (page 198)

Give the most descriptive name for quadrilateral MNOP.
$\bar{M N} ∥ \bar{P O}; \bar{N O} ∥ \bar{M P}; \bar{M O} ⊥ \bar{N P}$

Short Answer

Expert verified

The most descriptive name for quadrilateral MNOP where $\bar{M N} ∥ \bar{P O}, \bar{N O} ∥ \bar{M P}$ and $\bar{M O} ⊥ \bar{N P}$ 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 $\bar{M N} ∥ \bar{P O}$ , $\bar{N O} ∥ \bar{M P}$ and $\bar{M O} ⊥ \bar{N P}$ .

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

As, $\bar{M N} ∥ \bar{P O}$ , $\bar{N O} ∥ \bar{M P}$ and $\bar{M O} ⊥ \bar{N P}$ , 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 $\bar{M N} ∥ \bar{P O}$ , $\bar{N O} ∥ \bar{M P}$ and $\bar{M O} ⊥ \bar{N P}$ is a rhombus.

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Give the most descriptive name for quadrilateral MNOP.
$\bar{M N} ∥ \bar{P O}; \bar{N O} ∥ \bar{M P}; \bar{M O} ⊥ \bar{N P}$

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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Give the most descriptive name for quadrilateral MNOP.MN¯∥PO¯;NO¯∥MP¯;MO¯⊥NP¯

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

Applied Mathematics

Probability and Statistics

Calculus

Mechanics Maths

Theoretical and Mathematical Physics

Pure Maths

Study anywhere. Anytime. Across all devices.

Give the most descriptive name for quadrilateral MNOP.
$\bar{M N} ∥ \bar{P O}; \bar{N O} ∥ \bar{M P}; \bar{M O} ⊥ \bar{N P}$