Punjab State Board PSEB 6th Class Maths Book Solutions Chapter 9 Understanding Elementary Shapes Ex 9.5 Textbook Exercise Questions and Answers.

## PSEB Solutions for Class 6 Maths Chapter 9 Understanding Elementary Shapes Ex 9.5

1. Which of the following are polygons and there is no polygon. Give the reason:

Solution:

(i) It is not a closed figure. Therefore it is not a polygon.

(ii) It is made up of lines segment. Therefore it is polygon.

(iii) It is not a polygon, because it is not made of line segments.

(iv) It is not closed by line segment. Therefore, it is not a polygon.

(v) It is not polygon because line segments are intersecting each other.

(vi) It is made up of line segments, therefore it is a polygon.

2. Classify the following as concave or convex polygons:

Solution:

(i) Concave Polygon

(ii) Convex Polygon

(iii) Concave Polygon

(iv) Concave Polygon

(v) Convex Polygon

(vi) Convex Polygon.

3. Tick in the boxes, if the property holds true for a particular quadrilateral otherwise eroes out ‘x’:

Quadrilateral Properties | Rectangle | Parallelogram | Rhombus | Trapezium | Square |

All sides are equal | |||||

Only opposite sides are equal | |||||

Diagonals are equal | |||||

Diagonals bisect each other | |||||

Diagonals are perpendicular to each other | |||||

Each angle is 90° |

Solution:

Quadrilateral Properties | Rectangle | Parallelogram | Rhombus | Trapezium | Square |

All sides are equal | × | × | √ | × | √ |

Only opposite sides are equal | √ | √ | × | × | × |

Diagonals are equal | √ | × | × | × | √ |

Diagonals bisect each other | √ | √ | √ | × | √ |

Diagonals are perpendicular to each other | × | × | √ | × | √ |

Each angle is 90° | √ | × | X | × | √ |

4. Fill in the blanks:

Question (i)

…………… is a quadrilateral with only one pair of opposite sides parallel.

Solution:

Trapezium

Question (ii)

…………….. is a quadrilateral with all sides equal and diagonals of equal length.

Solution:

Square

Question (iii)

A polygon with atleast one angle is reflex is called ……………….. .

Solution:

Concave polygon

Question (iv)

………….. is a regular quadrilateral.

Solution:

Square

Question (v)

…………… is a quadrilateral with opposite sides equal and diagonals of unequal length.

Solution:

Parallelogram.

5. State True or False:

Question (i)

A rectangle is always a rhombus.

Solution:

False

Question (ii)

The diagonals of a rectangle are perpendicular to each other.

Solution:

False

Question (iii)

A square is a parallelogram.

Solution:

True

Question (iv)

A trapezium is a parallelogram.

Solution:

False

Question (v)

Opposite sides of a parallelogram are parallel.

Solution:

True.