Chapter 5: Q15 (page 198)

Give the most descriptive name for quadrilateral MNOP.
$∠ M ≅ ∠ N ≅ ∠ O ≅ ∠ P$

Short Answer

Expert verified

The most descriptive name for quadrilateral MNOP where $∠ M ≅ ∠ N ≅ ∠ O ≅ ∠ P$ is a square or rectangle.

Step by step solution

Step 1. Description of step.

In square and rectangle, all the angles have a measure of $90 °$ .

Step 2. Description of step.

It is being given that $∠ M ≅ ∠ N ≅ ∠ O ≅ ∠ P$ .

As the sum of the angles of a quadrilateral is $360 °$ .

Therefore, the sum of the angles of the quadrilateral MNOP is $360 °$ .

Therefore, it can be obtained that:

$\begin{matrix} ∠ M + ∠ N + ∠ O + ∠ P = 360 ° \\ ∠ M + ∠ M + ∠ M + ∠ M = 360 ° \\ 4 ∠ M = 360 ° \\ ∠ M = \frac{360 °}{4} \\ ∠ M = 90 ° \end{matrix}$

As, $∠ M ≅ ∠ N ≅ ∠ O ≅ ∠ P$ therefore, $∠ M = ∠ N = ∠ O = ∠ P = 90 °$ .

In the square, all the angles have a measure of $90 °$ .

Therefore, as in the quadrilateral MNOP, all angles are having the measure of $90 °$ , therefore the quadrilateral MNOP is a square.

Step 3. Write the most descriptive name for quadrilateral MNOP.

The most descriptive name for quadrilateral MNOP where $∠ M ≅ ∠ N ≅ ∠ O ≅ ∠ P$ is a square or rectangle.

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Give the most descriptive name for quadrilateral MNOP.
$∠ M ≅ ∠ N ≅ ∠ O ≅ ∠ P$

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 MNOP.

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Give the most descriptive name for quadrilateral MNOP.∠M≅∠N≅∠O≅∠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 MNOP.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Decision Maths

Discrete Mathematics

Geometry

Applied Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Give the most descriptive name for quadrilateral MNOP.
$∠ M ≅ ∠ N ≅ ∠ O ≅ ∠ P$