D and E are the mid-points of the sides AB and AC of ∆ABC and O is any point on side BC. O is joined to A. If P and Q are the mid-points of OB and OC respectively, then DEQP is

Papers Sign In Request access

Free previous-year papers & practice for JEE, NEET and CBSE Boards.

Papers Privacy Terms Contact

Papers Sign In Request access

Free previous-year papers & practice for JEE, NEET and CBSE Boards.

Papers Privacy Terms Contact

Mid-point Theorem for Triangle | PadhAiPro

Question

MCQ (Single)Mid-point Theorem for TriangleNCERT Exemplar

Similar Questions

Assertion (A): In △ABC, E and F are the midpoints of AC and AB respectively. The altitude AP at BC intersects FE at Q. Then, AQ = QP. Reason (R): Q is the midpoint of AP.

Assertion-ReasonMid-point Theorem for Triangle

ABCD is a rhombus and P,Q,R,S are mid-points of AB, BC,CD and DA respectively. Prove that quadrilateral PQRS is a rectangle.

TextConditions for Quadrilateral to be Parallelogram

Mid-point Theorem for Triangle

The quadrilateral formed by joining the mid-points of the sides of a quadrilateral PQRS, taken in order, is a rectangle, if

MCQ (Single)Mid-point Theorem for Triangle

ABCD is a rectangle and P, Q, R and S are mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rhombus.

TextCongruence of TrianglesRhombus as Special ParallelogramMid-point Theorem for Triangle

ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD. Show that (i) ∆ APB ≅ ∆ CQD (ii) AP = CQ

TextCongruence of TrianglesRhombus as Special ParallelogramMid-point Theorem for Triangle

In ∆ ABC, D, E and F are respectively the mid-points of sides AB, BC and CA. Show that ∆ ABC is divided into four congruent triangles by joining D, E and F.

TextMid-point Theorem for Triangle