Download 6.2 – Theorems Theorem 6.3 – Opposite sides of a parallelogram

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6.2 – Theorems
Theorem 6.3 – Opposite sides of a parallelogram are congruent.
Example: AB ≅ CD, AC ≅ BD
Theorem 6.4 – Opposite angles of a parallelogram are congruent.
Example: ∠A ≅ ∠D, ∠B ≅ ∠C
Theorem 6.5 – Consecutive angles in a parallelogram are supplementary.
Example: ∠A + ∠B = 180°, ∠B + ∠D = 180°, ∠D + ∠C = 180°, ∠C + ∠A = 180°
Theorem 6.6 – If a parallelogram has one right angle, it has four right angles.
A
B
E
C
D
Theorem 6.7 – The diagonals of a parallelogram bisect each other.
Example: AE ≅ DE, BE ≅ CE
Theorem 6.8 – Each diagonal of a parallelogram separates the parallelogram into two congruent
triangles.
Example: Triangle ABC ≅ Triangle DCE, Triangle ABD ≅ Triangle DCA
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