Geometrical Reasoning

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21 Terms

1
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2
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Vertically opposite angles on a straight line
Equal
Equal
3
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Angles on a straight line add up to
180
180
4
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Angles on a point add up to
360
360
5
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Angles in a triangle add up to
180
180
6
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Base angles of an isosceles triangle
Equal
Equal
7
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Angles in an equilateral triangle
Equal
Equal
8
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Exterior angle in a triangle is equal to
The sum of the interior opposite angles
The sum of the interior opposite angles
9
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Angles in a quadrilateral add up to
360
360
10
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Exterior angles of a polygon add up to
360
360
11
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Interior + exterior angles of any polygon add up to
180
180
12
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Alternate angles
Equal
Equal
13
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Corresponding angles
Equal
Equal
14
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Co-interior angles
Add up to 180
Add up to 180
15
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The angle at the centre of a circle
Twice the angle at the circumference
Twice the angle at the circumference
16
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Angles in the same segment
Equal
Equal
17
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The angle in a semicircle
90
90
18
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Opposite angles in a cyclic quadrilateral
Add up to 180
Add up to 180
19
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Alternate segment theorem
\-
\-
20
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Tangents to a circle from an external point
Equal in length
Equal in length
21
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Tangents to a circle
Perpendicular to the radius
Perpendicular to the radius