Geometry Flashcards

1
Q

Angles on opposite sides of an X shape

A

Vertically opposite

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2
Q

Angles that are equal on Z shape

A

Alternate angles

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3
Q

Equal angles on F shape

A

Corresponding angles

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4
Q

Interior angles between two parallel lines add up to

A

180°

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5
Q

Each exterior angle of a triangle is equal to …

A

The sum of the interior opposite angles

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6
Q

Triangle inequality theorem:

A

Two sides of a triangle are together greater than the third

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7
Q

What is a polygon

A

A closed shape with at least 3 sides

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8
Q

In a parallelogram opposite sides are

A

Equal and parallel

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9
Q

In a parallelogram opposite angles are

A

Equal

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10
Q

In a rhombus, diagonals bisect eachither…

A

At a 90°angle

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11
Q

Chord

A

Any segment that joins two points on a circle

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12
Q

Arc

A

Any part of the circumference

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13
Q

Opposite angles in a cyclic quadrilateral add up to

A

180°

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14
Q

A tangent to a circle is at an X° angle to the radius at the point of contact

A

90°

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15
Q

Proposition

A

A mathematical statement or theorem that may be true or false

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16
Q

A proof

A

A series of logical steps that we use to prove a statement

17
Q

A theorem

A

A statement that has been proved using a series of logical steps

18
Q

Axiom

A

A statement we accept without any proof

19
Q

Corollary

A

A statement that follows readily from a previous theorem

20
Q

A converse

A

A theorem formed by swapping the order of the hypothesis and the conclusion

21
Q

Congruent triangles

A

Triangles where all corresponding sides and interior angles are equal in measure

22
Q

4 types of congruent triangles

A

SSS
SAS
ASA
RHS

23
Q

Circumcentre is the

A

Intersection of the perpendicular bisectores

24
Q

Intercentre is the

A

Intersection of the angle bisectores

25
Q

Circumcircle is

A

Circle on which all vertexes of triangle are on the line of the circle

26
Q

Incircle

A

Circle inside the triangle. The centre is equidistant from all sides of the triangle

27
Q

The centroid is

A

Where the medians intersect

28
Q

What is a median of a triangle

A

Midpoint of line attached to vertex on opposite side

29
Q

Orthocentre is

A

Where the altitudes intersect

30
Q

What are the altitudes

A

The vertex to the opposite side perpendicularly

31
Q

What is the centre of gravity also called

A

Centroid