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Gr 9 Quadrilaterals
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Name 3 quadrilaterals that have diagonals that are congruent.
kite, rhombus, square
A regular polygon has a 10Ëš exterior angle. How many sides does it have?
36
Find the measure of each interior angle in a regular hexagon.
120
What is the sum of the exterior angles of a 100-gon?
360
Find the measure of each exterior angle of a regular octagon.
45
How many degrees does a decagon have?
1440
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°
ABCD is a trapezium in which AB || DC and ∠A = ∠B = 45º. Find angles C and D of the trapezium.
135 degrees each
One angle of a quadrilateral is of 108º and the remaining three angles are equal. Find each of the three equal angles.
84°.
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 parallelogram. If its diagonals are equal, then find the value of ∠ABC.
∠ABC = 90º
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
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 rhombus such that ∠ACB = 40º. Then ∠ADB is
50º
A diagonal of a rectangle is inclined to one side of the rectangle at 25º. The acute angle between the diagonals is
50º
Three angles of a quadrilateral are 75º, 90º and 75º. The fourth angle is
120º
If ABCD is a trapezium in which AB || CD and AD = BC, then:
∠A = ∠B
Each angle of the rectangle is:
Equal to 90°
The diagonals of a parallelogram:
Bisect each other
In a parallelogram, opposite angles are:
Equal
The consecutive angles of a parallelogram are
Supplementary
If in a parallelogram its diagonals bisect each other and are equal then it is a,
Rectangle
If in a parallelogram its diagonals bisect each other at right angles and are equal, then it is a
Square


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