Quadrilaterals

Which of the following is the only unique property of the rhombus?

• There are two pairs of parallel lines

• All sides are equal

• Opposite angles are equal

• The sum of any two adjacent angles is 180°

Which of the following is the only unique property of the trapezium?

• There is only one pair of parallel lines

• There are two pairs of equal sides

• Opposite angles are equal

• The sum of any two adjacent angles is 180°

Which of the following is not a property of the parallelogram?

• There is only one pair of parallel lines

• There are two pairs of equal sides

• Opposite angles are equal

• The sum of any two adjacent angles is 180°

The sum of all angles in a quadrilateral is = _______ °

Which of the following statements about the figure above is true?

• ∠a + ∠d = 180°

• ∠b + ∠d = 180°

• ∠c + ∠d = 180°

• ∠c + ∠b = 180°

Which of the following statements about the figure above is false?

• ∠FEC + ∠EGH = 180°

• ∠EGH = ∠HFE

• ∠FEC + ∠EGH = ∠HFE + ∠GHF

• ∠FEC + ∠GHF = 180°

Which of the following statements about the figure above are true?

• ∠STV = ∠TVU

• ∠STU = 2 × ∠STV

• ∠VST = ∠STU

• ∠TVU + ∠VST = 180°

The figure ABDE is a trapezium. ACD is a rectangle. Find ∠BAE.

∠BAE = ______ °.

JLMP is a trapezium. KLMO is a parallelogram. Find ∠OML.

∠OML = ______°

The figure is made up of two parallelograms, QRUV and RSTU. Find ∠VUT.

∠VUT = ______ °