Geometrical Reasoning

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2

Vertically opposite angles on a straight line

Equal

<p>Equal</p>
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3

Angles on a straight line add up to

180

<p>180</p>
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4

Angles on a point add up to

360

<p>360</p>
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5

Angles in a triangle add up to

180

<p>180</p>
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6

Base angles of an isosceles triangle

Equal

<p>Equal</p>
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7

Angles in an equilateral triangle

Equal

<p>Equal</p>
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8

Exterior angle in a triangle is equal to

The sum of the interior opposite angles

<p>The sum of the interior opposite angles</p>
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9

Angles in a quadrilateral add up to

360

<p>360</p>
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10

Exterior angles of a polygon add up to

360

<p>360</p>
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11

Interior + exterior angles of any polygon add up to

180

<p>180</p>
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12

Alternate angles

Equal

<p>Equal</p>
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13

Corresponding angles

Equal

<p>Equal</p>
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14

Co-interior angles

Add up to 180

<p>Add up to 180</p>
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15

The angle at the centre of a circle

Twice the angle at the circumference

<p>Twice the angle at the circumference</p>
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16

Angles in the same segment

Equal

<p>Equal</p>
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17

The angle in a semicircle

90

<p>90</p>
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18

Opposite angles in a cyclic quadrilateral

Add up to 180

<p>Add up to 180</p>
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19

Alternate segment theorem

-

<p>-</p>
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20

Tangents to a circle from an external point

Equal in length

<p>Equal in length</p>
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21

Tangents to a circle

Perpendicular to the radius

<p>Perpendicular to the radius</p>
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