In this chapter, we provide RD Sharma Class 8 Solutions Chapter 15 Understanding Shapes I Ex 15.1 for English medium students, Which will very helpful for every student in their exams. Students can download the latest RD Sharma Class 8 Solutions Chapter 15 Understanding Shapes I Ex 15.1 Maths pdf, free RD Sharma Class 8 Solutions Chapter 15 Understanding Shapes I Ex 15.1 book pdf download. Now you will get step by step solution to each question.

Textbook | NCERT |

Class | Class 8 |

Subject | Maths |

Chapter | Chapter 15 |

Chapter Name | Understanding Shapes |

Exercise | Ex 15.1 |

**RD Sharma Solutions for Class 8 Chapter 15 Understanding Shapes I Ex 15.1** **Download PDF**

**Question 1.****Draw rough diagrams to illustrate the following:****(i) Open curve****(ii) Closed curve****Solution:**

**Question 2.****Classify the following curves as open or closed.****Solution:**

Open curves : (i), (iv) and (v) are open curves.

(ii) , (iii), and (vi) are closed curves

**Question 3.****Draw a polygon and shade its interior. Also draw its diagonals, if any.****Solution:**

In the given polygon, the shaded portion is its interior region AC and BD are the diagonals of polygon ABCD.

**Question 4.****Illustrate, if possible, each one of the following with a rough diagram:****(i) A closed curve that is not a polygon.****(ii) An open curve made up entirely of line segments.****(iii) A polygon with two sides.****Solution:**

(i) Close curve but not a polygon.

(ii) An open curve made up entirely of line segments.

(iii) A polygon with two sides. It is not possible. At least three sides are necessary

**Question 5.****Following are some figures : Classify each of these figures on the basis of the following:****(i) Simple curve****(ii) Simple closed curve****(iii) Polygon****(iv) Convex polygon****(v) Concave polygon****(vi) Not a curve****Solution:**

(i) It is a simple closed curve and a concave polygon.

(ii) It is a simple closed curve and convex polygon.

(iii) It is neither a curve nor polygon.

(iv) it is neither a curve not a polygon.

(v) It is a simple closed curve but not a polygon.

(vi) It is a simple closed curve but not a polygon.

(vii) It is a simple closed curve but not a polygon.

(viii) It is a simple closed curve but not a polygon

**Question 6.****How many diagonals does each of the following have ?****(i) A convex quadrilateral****(ii) A regular hexagon****(iii) A triangle.****Solution:**

(i) A convex quadrilateral

Here n = 4

**Question 7.****What is a regular polygon ? State the name of a regular polygon of:****(i) 3 sides****(ii) 4 sides****(iii) 6 sides.****Solution:**

A regular polygon is a polygon which has all its sides equal and so all angles are equal,

(i) 3 sides : It is an equilateral triangle.

(ii) 4 sides : It is a square.

(iii) 6 sides : It is a hexagon.

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**All Subject NCERT Solutions For Class 8**

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