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Gr 9 Quadrilaterals

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  • Name 3 quadrilaterals that have diagonals that are congruent.
    kite, rhombus, square
  • One angle of a quadrilateral is of 108º and the remaining three angles are equal. Find each of the three equal angles.
    84°.
  • A diagonal of a rectangle is inclined to one side of the rectangle at 25º. The acute angle between the diagonals is
    50º
  • The angle between two altitudes of a parallelogram through the vertex of an obtuse angle of the parallelogram is 60º. Find the angles of the parallelogram.
    120°, 60°, 120°, 60°
  • In a parallelogram, opposite angles are:
    Equal
  • The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O. If ∠DAC = 32º and ∠AOB = 70º, then ∠DBC is equal to
    38º
  • Angles of a quadrilateral are in the ratio 3 : 4 : 4 : 7. Find all the angles of the quadrilateral.
    60º, 80º, 80º and 140º.
  • ABCD is a rhombus such that ∠ACB = 40º. Then ∠ADB is
    50º
  • Each angle of the rectangle is:
    Equal to 90°
  • The diagonals of a parallelogram:
    Bisect each other
  • If angles A, B, C and D of the quadrilateral ABCD, taken in order, are in the ratio3:7:6:4, then ABCD is a
    trapezium
  • ABCD is a trapezium in which AB || DC and ∠A = ∠B = 45º. Find angles C and D of the trapezium.
    135 degrees each
  • How many degrees does a decagon have?
    1440
  • Three angles of a quadrilateral are 75º, 90º and 75º. The fourth angle is
    120º
  • If in a parallelogram its diagonals bisect each other and are equal then it is a,
    Rectangle
  • If ABCD is a trapezium in which AB || CD and AD = BC, then:
    ∠A = ∠B
  • ABCD is a parallelogram. If its diagonals are equal, then find the value of ∠ABC.
    ∠ABC = 90º
  • The consecutive angles of a parallelogram are
    Supplementary
  • Find the measure of each exterior angle of a regular octagon.
    45
  • If in a parallelogram its diagonals bisect each other at right angles and are equal, then it is a
    Square
  • What is the sum of the exterior angles of a 100-gon?
    360
  • Find the measure of each interior angle in a regular hexagon.
    120
  • A regular polygon has a 10˚ exterior angle. How many sides does it have?
    36