Podcast
Questions and Answers
In a quadrilateral, when are the opposite angles equal?
In a quadrilateral, when are the opposite angles equal?
- When both pairs of opposite angles are equal (correct)
- When both pairs of opposite sides are equal
- When the diagonals bisect each other
- When a pair of opposite sides is both equal and parallel
What type of quadrilateral is formed when both pairs of opposite sides are equal and parallel?
What type of quadrilateral is formed when both pairs of opposite sides are equal and parallel?
- Square
- Rectangle (correct)
- Rhombus
- Trapezium
How are the diagonals of a square related to each other?
How are the diagonals of a square related to each other?
- They bisect each other at right angles
- They are perpendicular
- They are equal in length and vice versa (correct)
- They are parallel
What kind of quadrilateral is formed by connecting the midpoints of any two sides of a triangle?
What kind of quadrilateral is formed by connecting the midpoints of any two sides of a triangle?
What happens to the diagonals of a rectangle?
What happens to the diagonals of a rectangle?
In a rhombus, how do the diagonals relate to each other?
In a rhombus, how do the diagonals relate to each other?
What is the sum of the interior angles of a quadrilateral?
What is the sum of the interior angles of a quadrilateral?
When is a quadrilateral considered a parallelogram?
When is a quadrilateral considered a parallelogram?
What will be the type of quadrilateral if one pair of opposite sides is both equal and parallel?
What will be the type of quadrilateral if one pair of opposite sides is both equal and parallel?
What is wrong with this statement: 'A quadrilateral is always a rhombus if both pairs of opposite sides are equal' ?
What is wrong with this statement: 'A quadrilateral is always a rhombus if both pairs of opposite sides are equal' ?
How do diagonals relate in a square?
How do diagonals relate in a square?
Study Notes
Properties of Quadrilaterals
- A quadrilateral is a shape with four sides.
- The sum of the interior angles of a quadrilateral is 360°.
Types of Quadrilaterals
- Parallelogram: a quadrilateral with opposite sides that are equal and parallel.
- Rectangle: a parallelogram with all angles being right angles.
- Rhombus: a parallelogram with all sides being equal.
- Square: a rectangle with all sides being equal.
- Trapezium: a quadrilateral with two pairs of opposite sides that are not equal.
Properties of Parallelograms
- A quadrilateral is a parallelogram if:
- Both pairs of opposite sides are equal.
- Both pairs of opposite angles are equal.
- Diagonals bisect each other.
- A pair of opposite sides is both equal and parallel.
- Diagonals of a parallelogram bisect each other.
Properties of Rectangles
- Diagonals of a rectangle bisect each other and are equal.
- If diagonals of a quadrilateral bisect each other and are equal, then it is a rectangle.
Properties of Squares
- Diagonals of a square bisect each other at right angles and are equal.
- If diagonals of a quadrilateral bisect each other at right angles and are equal, then it is a square.
Properties of Rhombi
- Diagonals of a rhombus bisect each other at right angles.
- If diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus.
Midpoints of Triangles
- The line-segment joining the mid-points of any two sides of a triangle is parallel to the third side and is half of it.
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Description
Test your knowledge on the properties of parallelograms with this quiz. Questions cover topics such as identifying parallelograms, parallel sides, and congruent sides.
