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Preliminary Mathematics Revision Cards
Geometry – Preliminary Math
Geometry – Preliminary Math
Acute Angle
Right-angle
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0 <  < 90
 = 90
Geometry – Preliminary Math
Geometry – Preliminary Math
Obtuse Angle
Straight Angle
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 = 180
90 <  < 180
Preliminary Mathematics Revision Cards
Geometry – Preliminary Math
Geometry – Preliminary Math
Reflex Angle
Revolution
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 = 360
180 <  < 360
Geometry – Preliminary Math
Geometry – Preliminary Math
Vertically Opposite
Angles
Alternate Angles
between
parallel lines
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{Z}


=



Preliminary Mathematics Revision Cards
Geometry – Preliminary Math
Geometry – Preliminary Math
Corresponding Angles
Between
Parallel Lines
Co-interior Angles
Between
Parallel Lines
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{F}
{C}






Geometry – Preliminary Math
Geometry – Preliminary Math
Tests for parallel lines.
Scalene Triangle
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Prove that the
Alternate or Corresponding
angles are equal
or
the co-interior angles
add to 180o
All sides are different.
All angles are different.
Preliminary Mathematics Revision Cards
Geometry – Preliminary Math
Geometry – Preliminary Math
Isosceles Triangle
Equilateral Triangle
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


Two sides equal.
Two base angles equal.
All sides equal
All angles equal 60o
Geometry – Preliminary Math
Geometry – Preliminary Math
Right-angled Triangle
Obtuse-angled Triangle
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Hypotenuse
One angle = 90o
One angle is obtuse
90o <  < 180o
Preliminary Mathematics Revision Cards
Geometry – Preliminary Math
Geometry – Preliminary Math
Acute-angled Triangle
Angle Sum of a Triangle
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


All angles are acute.
0o <  < 90o
a + b + g = 180o
Geometry – Preliminary Math
Geometry – Preliminary Math
Which Congruence Rule?
Exterior angle of a triangle.
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


a=b+g
The exterior angle a equals the
sum of the interior opposite
angles, b & g.
SSS
Side, Side, Side
Preliminary Mathematics Revision Cards
Geometry – Preliminary Math
Geometry – Preliminary Math
Which Congruence Rule?
Which Congruence Rule?





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SAS

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AAS
Side, Angle (include), Side.
Angle, Angle,
Side (corresponding).
Geometry – Preliminary Math
Geometry – Preliminary Math
Which Congruence Rule?
Which Similarity Rule?
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RHS
Right-angle, hypotenuse,
side (corresponding)
All three pairs
of corresponding angles
are equal.
Preliminary Mathematics Revision Cards
Geometry – Preliminary Math
Geometry – Preliminary Math
Which Similarity Rule?
Which Similarity Rule?
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All three pairs of
corresponding sides are in
proportion.
(In the same ratio)
Two corresponding sides
are in the same ratio and
their included angles are
equal.
Geometry – Preliminary Math
Geometry – Preliminary Math
Ratio of intercepts?
Pythagoras Theorem
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AB DE

BC EF
f 2  g 2  h2
Preliminary Mathematics Revision Cards
Geometry – Preliminary Math
Geometry – Preliminary Math
How do you prove that a
triangle has a right-angle?
What is a quadrilateral?
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Show that Pythagoras
theorem is works for
this triangle.
Any 4 sided plane figure.
Geometry – Preliminary Math
Geometry – Preliminary Math
What is the angle sum of a
quadrilateral?
List 4 properties of a
parallelogram.
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360o
1. Opposite sides equal.
2. Opposite angles equal.
3. One pair of sides is both
equal and parallel.
4. Diagonals bisect it into two
congruent triangles.
Preliminary Mathematics Revision Cards
Geometry – Preliminary Math
Geometry – Preliminary Math
List 4 tests for a
parallelogram.
List the properties of a
rectangle.
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1. Both pairs of opposite sides
are equal.
2. Both pairs of opposite
1. Same as parallelogram.
angles are equal.
2. Angles equal 90o.
3. One pair of sides are both
3. Diagonals are equal.
equal and parallel
4. Diagonals bisect each other.
Geometry – Preliminary Math
Geometry – Preliminary Math
List four properties of a
Rhombus.
List two tests for a Rhombus.
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1. Same as parallelogram.
2. All sides equal
1. All sides are equal
3. Diagonals bisect each other
2. Diagonals bisect at 90o.
at right angles.
4. Diagonals bisect the angles.
Preliminary Mathematics Revision Cards
Geometry – Preliminary Math
Geometry – Preliminary Math
List four properties of a
Square.
What is a Trapezium?
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1. Same as a rectangle, plus
2. A pair of equal adjacent
sides.
3. Diagonals perpendicular.
4. Diagonals make a 45o angle
with the sides.
A quadrilateral with one pair
of parallel sides.
Geometry – Preliminary Math
Geometry – Preliminary Math
What is a Kite?
What is a regular polygon?
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A quadrilateral with two pairs
of adjacent sides equal.
A plain figure with straight
sides and has all sides and
interior angles equal.
Preliminary Mathematics Revision Cards
Geometry – Preliminary Math
Geometry – Preliminary Math
Interior Angle Sum of a
Polygon.
Exterior Angle Sum of a
Polygon.
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S = 180n - 360
360o
Geometry – Preliminary Math
Geometry – Preliminary Math
Area of a Rectangle?
Area of a Square?
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A=LxB
A = L2
Preliminary Mathematics Revision Cards
Geometry – Preliminary Math
Geometry – Preliminary Math
Area of a Triangle?
Area of Parallelogram?
h
h
b
b
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A=
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1
bh
2
A = bh

Geometry – Preliminary Math
Geometry – Preliminary Math
Area of a Rhombus?
Area of a Trapezium?
d1
a
d2
h
b
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1
A dd
2
1

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A
2

h
(a  b)
2
Preliminary Mathematics Revision Cards
Geometry – Preliminary Math
Geometry – Preliminary Math
Rectangular Prism
What is the area of a circle?
1. Surface Area
2. Volume
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1. S  2(BH  HL  LB)
A r
2
2. V  LBH


Geometry – Preliminary Math
 Geometry – Preliminary Math
Cube
Cylinder
1. Surface Area
1. Surface Area
2. Volume
2. Volume
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1. S  2 r(r  h)
1. S  6 L
2
2. V  L3


4
2. V   r 3
3


Preliminary Mathematics Revision Cards
Geometry – Preliminary Math
Geometry – Preliminary Math
Sphere
Cone
1. Surface Area
1. Surface Area
2. Volume
2. Volume
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

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1. S  4 r 2
1. S   r(r  L)
4
2. V   r 3
3
1
2.  r 2 h
3
Geometry – Preliminary Math
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
Geometry – Preliminary Math

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Preliminary Mathematics Revision Cards