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A rhombus is a special type of parallelogram. All properties of parallelograms hold true with a rhombus.* Opposite sides are congruent and parallel.* Opposite angles are congruent.* Consecutive angles are supplementary.* Diagonals bisect each other. In addition, in a rhombus: * all sides are congruent.* the diagonals are perpendicular. x = y = ABCD is a rhombus. Solve for each variable. ∘ ∘ D h = k = x y A ∘ 120∘ ∘ m = ∡D = m ∘ ∘ C h k B x = ABCD is a rhombus. Solve for each variable. D 6 y = A x h h = C y B x = y = ABCD is a rhombus. Solve for each variable. ∘ ∘ D k = h = x y ∘ A ∘ m = r = 55∘ q m ∘ p ∘ r A = s = s C ∘ h ∘ k p = q = B ∘ ∘ A rectangle is a special type of parallelogram. All properties of parallelograms hold true with a rectangle.* Opposite sides are congruent and parallel.* Opposite angles are congruent.* Consecutive angles are supplementary.* Diagonals bisect each other. In addition, in a rhombus: * all angles are congruent.* the diagonals are congruent. y = x = ABCD is a rectangle. Solve for the variables. C A x m∠ABD = 6 m∠BAC = 8 y M ∘ ∘ MD = BC = B 5 D x = y = ABCD is a rectangle. Solve for the variables. 4 A C p = q = 5 x q 10 M z z = y p D B y = m = x = ABCD is a rectangle. Solve for the variables. ∘ ∘ ∘ A C 50∘ p = q = k = m k z ∘ ∘ ∘ x z = y h = n = h n ∘ ∘ p ∘ q D B A square is a special type of parallelogram. Besides having the properties of a parallelogram, a square can also be classified as a rectangle and a rhombus. Therefore, in a square:* all sides are congruent. * all angles are congruent.* the diagonals are congruent.* the diagonals are perpendicular. ABCD is a square. Solve for each variable. B C a g f h j b c d D A a = d = c = b = f = g = h = j = ABCD is a square. Find each measure. B C 5.7 M 8 D A m∠BDC = º m∠MDC = º m∠AMD = º AD = MD = CD = AC = |