Answer :
Sure, let's address each question one by one with detailed explanations.
### Question 1:
Which of the following polygons is NOT an example of a quadrilateral:
A) Trapezium
B) Parallelogram
C) Pentagon
D) Rhombus
#### Explanation:
A quadrilateral is a polygon with exactly four sides. Let's analyze the given options:
- A) Trapezium: This is a quadrilateral because it has four sides.
- B) Parallelogram: This is also a quadrilateral, as it has four sides.
- C) Pentagon: A pentagon is a polygon with five sides.
- D) Rhombus: This is a quadrilateral, as it has four sides.
Among the given options, the only shape that is not a quadrilateral is:
C) Pentagon
### Question 2:
An isosceles triangle:
A) has all sides equal
B) has two sides equal
C) has all sides being unequal
D) has two sides being unequal
#### Explanation:
An isosceles triangle is defined as a triangle that has at least two sides that are of equal length.
Let's look at the given options:
- A) has all sides equal: This describes an equilateral triangle, not an isosceles triangle.
- B) has two sides equal: This correctly describes an isosceles triangle.
- C) has all sides being unequal: This describes a scalene triangle.
- D) has two sides being unequal: This statement isn't specific enough to describe a particular type of triangle and does not define an isosceles triangle.
Thus, the correct property of an isosceles triangle is given by:
B) has two sides equal
These explanations should provide clarity on why the answers are:
- For the first question, the correct option is C) Pentagon.
- For the second question, the correct option is B) has two sides equal.
### Question 1:
Which of the following polygons is NOT an example of a quadrilateral:
A) Trapezium
B) Parallelogram
C) Pentagon
D) Rhombus
#### Explanation:
A quadrilateral is a polygon with exactly four sides. Let's analyze the given options:
- A) Trapezium: This is a quadrilateral because it has four sides.
- B) Parallelogram: This is also a quadrilateral, as it has four sides.
- C) Pentagon: A pentagon is a polygon with five sides.
- D) Rhombus: This is a quadrilateral, as it has four sides.
Among the given options, the only shape that is not a quadrilateral is:
C) Pentagon
### Question 2:
An isosceles triangle:
A) has all sides equal
B) has two sides equal
C) has all sides being unequal
D) has two sides being unequal
#### Explanation:
An isosceles triangle is defined as a triangle that has at least two sides that are of equal length.
Let's look at the given options:
- A) has all sides equal: This describes an equilateral triangle, not an isosceles triangle.
- B) has two sides equal: This correctly describes an isosceles triangle.
- C) has all sides being unequal: This describes a scalene triangle.
- D) has two sides being unequal: This statement isn't specific enough to describe a particular type of triangle and does not define an isosceles triangle.
Thus, the correct property of an isosceles triangle is given by:
B) has two sides equal
These explanations should provide clarity on why the answers are:
- For the first question, the correct option is C) Pentagon.
- For the second question, the correct option is B) has two sides equal.
