In the given figure, in △ABC points D and E are mid-points of sides BC and AC respectively. If given vertices are A(4, −2), B(2, −2) and C(−6, −7), then verify the result DE = 1/2 AB.

Section Formula for Internal Division, Mid-Point Formula in Coordinate Geometry, Finding Ratio of Division of Line Segment | PadhAiPro

Question

TextSection Formula for Internal DivisionMid-Point Formula in Coordinate GeometryFinding Ratio of Division of Line SegmentCBSE PYQ

Similar Questions

AD is a median of △ABC with vertices A(5, −6), B(6, 4) and C(0, 0). Length AD is equal to :

MCQ (Single)Distance Formula Between Two Points in Coordinate PlaneMid-Point Formula in Coordinate Geometry

The centre of a circle is at (2, 0). If one end of a diameter is at (6, 0), then the other end is at :

MCQ (Single)

Mid-Point Formula in Coordinate Geometry

Find the ratio in which the point (8/5, y) divides the line segment joining the points (1, 2) and (2, 3). Also, find the value of y.

TextClassification of Quadrilaterals Using Distance FormulaSection Formula for Internal DivisionMid-Point Formula in Coordinate GeometryFinding Ratio of Division of Line Segment

ABCD is a rectangle formed by the points A (−1, −1), B (−1, 6), C (3, 6) and D (3, −1). P, Q, R and S are mid-points of sides AB, BC, CD and DA respectively. Show that diagonals of the quadrilateral PQRS bisect each other.

TextClassification of Quadrilaterals Using Distance FormulaSection Formula for Internal DivisionMid-Point Formula in Coordinate GeometryFinding Ratio of Division of Line Segment

If the points A(6, 1), B(p, 2), C(9, 4) and D(7, q) are the vertices of a parallelogram ABCD, then find the values of p and q. Hence, check whether ABCD is a rectangle or not.

TextClassification of Quadrilaterals Using Distance FormulaMid-Point Formula in Coordinate Geometry

In the following figure, P and Q are points of trisection of line segment AB : the value of AB/PB =

MCQ (Single)Section Formula for Internal DivisionTrisection of a Line Segment