Question

In parallelogram QRST, diagonals QS and RT intersect at point E. Which statement must be true? QS ⊥ RT ΔRES ≅ ΔTEQ ∠RQS ≅ ∠SQT ΔTQE ≅ ΔRQE

Answer 1

ΔRES ≅ ΔTEQ

Explanation:

A parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel to each other.

Opposite angles of a parallelogram are equal and the diagonals bisect each other. Each diagonal of a parallelogram separates it into two congruent triangles.

Given parallelogram QRST with diagonals QS and RT intersecting at point E

Therefore, the diagonals divide parallelogram QRST into congruent triangles, hence:

ΔRES ≅ ΔTEQ