WBBSE Solutions For Class 7 Maths Geometry Chapter 7 Types Of Quadrilateral

Geometry Chapter 7 Types Of Quadrilateral

Question 1. Choose the correct Answer

1. The measurement of the sum of four angles of any quadrilateral is

1. 90°
2. 180°
3. 360°
4. None of these.

∴ Option (3)360° is the correct answer

2. The each angle of a rectangle is.

1. Acute Angle
2. Right angle
3. Obtuse angle,
4. None of these

∴ Option (2) right angle is the correct answer

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3. The opposite angles of the parallelogram are

1. Equal
2. Nonequal
3. Complementary
4. None of these.

∴ Option (1) equal is the correct answer

WBBSE Class 7 Maths Geometry Chapter 7

4. The angle of each square is.

1. Acute Angle,
2. Right angle,
3. Obtuse triangle
4. None of these

∴ Option (2) right angle is the correct answer.

Question 2. Write true or false

1. An isocelges trapezium is a parall dogram. → False

2. The diagonals of a rectangle bisect each other at right angles → The statement is False

3. Quadrilateral has two diagonals → The Statement is True

Question 3. Fill in the blanks:

1. The sum of the measurement of two adjacent angles of a parallelogram is 180°

2. The opposite sides of a parallelogram are Parallel to each other.

3. Quadrilateral has two diagonals

4. The length of the diagonals of an isosceles trapezium is equal.

Question 4. Each rhombus is a special type of square Explain.
Solution:

1. Every square is a rhombus (since all sides are equal and the diagonals, bisect each other at right angles
2. Not every rhombus is a square (since a rhombus does not require right angles between its sides.
3. Thus, while a square can be considered a special type of Thombus due to its right angles, a rhombus cannot be considered a type of square unless it also has right angles.

Class 7 Geometry Chapter 7 Exercise Solutions

Question 5. Write the difference between the Parallelogram and the rectangle.
Solution:

Class 7 Maths Chapter 7 Geometry PDF

Question 6. Write the difference between a rectangle and a square
Solution:

Question 7. Write the properties of the parallelogram
Solution:

Properties of parallelogram

1. Each pair of opposite sides are parallel to each other.
2. Each pair of opposite sides is equal in length
3. Each pair of opposite sides is equal in length
4. Each pair of consecutive angles sum to 180°
5. The diagonals of a parallelogram bisect each other meaning they cut each other into two equal parts.
6. The area of the parallelogram can be calculated using the formula
   1. Area = Base x Height (where Height is the perpendicular distance between the bases).
7. when transversal crosses the parallelo gram, alternate interior angles, are equal.
8. If one pair of opposite sides is both parallel and equal the quadrilateral is a parallelogram.

WBBSE Solutions for Class 7 Maths Chapter 7

Question 8. What is a convex quadrilateral, and what is a concave quadrilateral
Solution:

Convex Quadrilateral

A convex quadrilateral is a four-sided Polygon that has interior angles that measure less than 180° each The diagonals are contained entirely inside of these quadrilaterals. PQRS is a convex Quadrilateral.

Concave Quadrilateral:

If the quadrilateral has an interior angle greater than 180° It is called a concave quadrilateral.

ABCD is a quadrilateral whose interior ∠BCD >180°