Which statement follows from the given theorem? Theorem: The diagonal of a parallelogram divides it into two congruent triangles.A. Diagonals of a parallelogram bisect opposite angles.B. Consecutive sides of a parallelogram are congruent.C. Consecutive angles of a parallelogram are congruent.D. Consecutive angles of a parallelogram are supplementary.
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Answer with explanation:Theorem : The diagonal of a parallelogram divides it into two congruent triangles.Properties of parallelogram1. Opposite sides are equal and parallel.2. Diagonal bisect each other.3. Opposite Angles are equal.If you will look at the first three optionsA: Diagonals of a parallelogram bisect opposite angles.→→False(Alternate angles are equal)B: Consecutive sides of a parallelogram are congruent.→→→False(Opposite sides are congruent)C: Consecutive angles of a parallelogram are congruent.→→→False(Opposite angles are congruent)D: Consecutive angles of a parallelogram are supplementary.→→→→TrueFor,any parallelogram, having vertices , A, B and C and DOpposite sides are parallel, so1.∠A + ∠B=180°2.∠C + ∠B=180°3.∠C+ ∠D=180°4. ∠A + ∠D=180°Option D
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