Properties of Figures - JSS1 Mathematics Past Questions and Answers - page 1
What is a rectangle?
A quadrilateral with all sides equal in length.
A quadrilateral with opposite sides equal in length and all angles at 90 degrees.
A triangle with all sides of equal length.
Which figure has all sides of equal length and all angles at 90 degrees?
Square
Isosceles triangle
Circle
In an isosceles triangle, which property holds true?
All sides are of different lengths.
Two sides are of equal length.
All angles are equal.
What is unique about an equilateral triangle?
It has two sides of equal length.
All sides are of equal length.
It has no right angles.
What defines a circle?
A shape with four equal sides.
A shape with all angles at 90 degrees.
A set of points equidistant from a central point.
How do diagonals behave in a rectangle?
They are of different lengths and do not bisect each other.
They bisect each other at right angles.
They are parallel to each other.
Which real-world object can be modeled as a circle?
A bookshelf
A bicycle wheel
A staircase
Explain the difference between a rectangle and a square, focusing on their defining characteristics and properties.
A rectangle is a quadrilateral with opposite sides of equal length and all angles at 90 degrees. In contrast, a square is a special type of rectangle where all sides are equal in length and all angles are 90 degrees. Thus, while all squares are rectangles, not all rectangles are squares.
Describe how you can identify an equilateral triangle by its properties and what makes it different from other types of triangles.
An equilateral triangle has all three sides of equal length and all three angles are 60 degrees. This distinguishes it from other triangles, such as isosceles triangles (which have at least two sides of equal length) and scalene triangles (where all sides have different lengths).
Discuss the practical applications of circles in everyday life, providing at least two examples where circles are commonly used.
Circles have numerous practical applications. For example, wheels (like those on bicycles and cars) are circular in shape, which allows for efficient rotation and movement. Additionally, many household items like plates and clocks are circular, making them easy to manufacture and use.