|Properties of parallelogram|
To explore similarities and differences in the properties with respect to the diagonal of a parallelogram.
|Area of circle|
To show that the area of circle is half the product of its circumference and radius.
|Solving simultaneous equations|
To solve simultaneous linear equations in two variables using LCM method and substitution method.
|Circumcentre of a triangle|
To show that the perpendicular bisectors of the sides of a triangle concur at a point (called the circumcentre)
|Area of triangle|
To show that the area of a triangle is half the product of the base and the height.
|The quadrilateral formed by the mid-points of a quadrilateral|
To show that the figure obtained by joining the mid points of consecutive sides of the quadrilateral is a parallelogram.
|Area of trapezium|
To show that the area of trapezium is equal to half the product of its altitude and sum of its parallel sides.
|Incentre of a triangle|
To show that the internal bisectors of the angles of a triangle concur at a point (called the incentre), which always lies inside the triangle.
To show that the line segment connecting the mid-points of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
|Centroid of a triangle|
To show that medians of a circle concur at a point (called centroid) and which always lies inside the triangle.
|Area of rhombus|
To show that the area of rhombus is half of product of its diagonals.
|Area of parallelogram|
To show that the area of parallelogram is product of its base and height.