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

Question

11111nata11111 [884]

3 years ago

11

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

TQE ≅ ΔRQE

Mathematics

1 answer:

jek_recluse [69] · Answer 1 · 2022-07-29T12:00:29+03:00

Answer:

ΔRES ≅ ΔTEQ

Step-by-step 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