Mathematics
Assertion (A): R, S, D and E are mid-points of OC, OB, AB and AC respectively, then DERS is a parallelogram. Reason (R): DS ∥ AO ∥ ER and DS = ER = . 1. A is true, but R is false. 2. A is false, but R is true. 3. Both A and R are true, and R is the correct reason for A. 4. Both A and R are true, and R is the incorrect reason for A.
Related Questions
Statement 1: AD is median of triangle ABC and DE is parallel to BA.
Statement 2: DE is median of triangle ADC.
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
Assertion (A): The figure formed by joining the mid-points of the sides of a quadrilateral ABCD is a square.
Reason (R): Diagonals of quadrilateral ABCD are not equal and are not perpendicular to each other.
A is true, but R is false.
A is false, but R is true.
Both A and R are true, and R is the correct reason for A.
Both A and R are true, and R is the incorrect reason for A.
In triangle ABC, D and E are mid-points of the sides AB and AC respectively. Through E, a straight line is drawn parallel to AB to meet BC at F. Prove that BDEF is a parallelogram. If AB = 8 cm and BC = 9 cm; find the perimeter of the parallelogram BDEF.
P, Q and R are mid-points of sides AB, BC and CD respectively of a rhombus ABCD. Show that PQ is perpendicular to QR.