geometry formulas

If C divides internally in the ratio 1:1 i.e., C is the midpoint of AB, then This formula is called the midpoint formula..

Using the distance formula, we have ..

a) Given an equation, to find the corresponding locus. b) Given a locus under some geometrical condition to determine the corresponding equation. The following properties of the curve will be very helpful in determining the full form of locus equation. i) Intercept: The intercept of a curve are th..

. Also they have equal bases because the base is common; by formula, area of a parallelogram = base x height they are of equal areas. Parallelograms between same parallels and having equal bases are equal. The formula for the area of a parallelogram is proved in the next theorem..

Introduction - Geometry originated when man felt the need to measure his land. Ancient Egyptians were perhaps the first people to study geometry. Later, the Babylonians studied in a systematic wa..

Question 1 - Question: In a parallelogram ABCD, the Co-ordinates of the vertices are A(-8, -4), B(6, -4), C(x, y), D(-3, 3). Find the Coordinates of the point C by applying mid point formula. [3 Mark] Answer: The diagonals in a parallelogram bisect each other. Let the point of bisection b..

Question: A is a point on the positive side of the X-axis and B is a point on the +ve side of Y- axis. P(4, 5) is the mid point of AB. Find the Co-ordinates of A and B. [3 Mark] Answer: Given A is a point on +ve side of X-axis its Coordinates are (x, 0) B is a point on +ve side of Y..

Question: Points A and B have vertices (7, -2) and (a, b) respectively. The Coordinates of the mid point are (4, -3). Find the values of a and b. [2 Mark] Answer: By mid point formula, Coordinates of mid point can be calculated by, ..

Question: The mid point of the joining (a, 2) and (3, 6) is (2, b). Find the numerical values of a, b. [2 Mark] Answer: By mid point formula, ..