Geometry Flashcards

1
Q

A line

A

<——->

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2
Q

A half line

A

o———>

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3
Q

Line segment

A

A o———o B

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4
Q

Acute angle

A

Less than 90 degrees

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5
Q

Obtuse angle

A

greater than 90 degrees

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6
Q

Reflex angle

A

Betweeen 180 - 360 degrees

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7
Q

Right angle

A

90 degrees

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8
Q

Straight angle

A

180 degrees

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9
Q

Full angle

A

360 degrees

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10
Q

vertically opposite angles

A

X shape

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11
Q

Alternate angles

A

Z shape

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12
Q

Corresponding angles

A

F shape

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13
Q

Interior angles

A

C shape

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14
Q
/c  \   /        \ /A       B\D D =
A

Exterior angle

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15
Q

Properties of Parrallelogram

A

Opp sides are equal + parrallel
Opp angles are equal
Diagonals bisect each other

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16
Q

Congruent triangles

A

SSS (Side, Side, Side)
SAS (Side, Angle, Side)
ASA (Angle, Side, Angle)
RHS (Right angle, Hypotenuse, Other side)

17
Q

Theorems: Vertically opposite angles are…

A

Equal in measure

18
Q

Theorems: In an isosceles triangle, thw angles opposite the equal sides are…

A

Equal

19
Q

Theorems: If a transversal makes equal alternative angles on 2 lines, the lines are…

A

Parallel

20
Q

Theorems: 2 lines are parallel if the corresponding angles in the transversal are…

A

Equal

21
Q

Theorems: Each exterior angle is equal to

A

The sum of the opposite interior angles

22
Q

Theorems: In a parallelogram, opposite sides/angles are

A

Equal

23
Q

Theorems: The diagonals of a parallelogram…

A

Bisect each other

24
Q

Theorems: If 2 triangles are similar, their sides are…

A

Proportional

25
Q

Theorems: Pythagoras’ theorum

A

Hypotenuse squared = other 2 sides squared

26
Q

Axiom

A

A statement that we accept without any proof: e.g. There is exactly one line through any two given points

27
Q

theorem

A

A rule that you can prove by following a certain number of logical steps or using a previous theorem or axiom.
E.g. Pythagoras’ Theorem

28
Q

Proof

A

a series of logical steps that we use to show a theorem is true

29
Q

Corollary

A

a statement that follows readily from a
previous theorem

30
Q

Converse

A

reversing the order of a statement