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B1 1-Maths > 1.3 Geometry > Flashcards

1.3 Geometry Flashcards

1
Q

In relation to a triangle what is a vertex?

A

The point where two sides meet

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2
Q

How are equal sides shown on a triangle?

A

By a dash or double dash

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3
Q

How are equal angles shown in a triangle?

A

By an arc or double arc in the corner with no number

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4
Q

What is an obtuse triangle?

A

When one angle is greater than 90°

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5
Q

What is the long side of a right angle triangle called?

A

Hypotenuse

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6
Q

What is a scalene triangle?

A

When all three sides and all three angles are different values

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7
Q

In writing what is Pythagoras theorem?

A

The area of the square on the hypotenuse is equal to the sum of areas on the other two sides?

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8
Q

What is the formula for Pythagoras theorem?

A

a^2 + b^2 = c^2

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9
Q

What can be used to find the height of a equilateral and isosceles triangle?

A

Pythagoras theorem

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10
Q

If you have an unknown angle but know the radius and arc length what is the formula to work out the angle?

A

Arc length over radius

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11
Q

What is an acute angle?

A

Less than 90°

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12
Q

What is a right angle?

A

When a angle is exactly 90°

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13
Q

What is an obtuse angle?

A

When a angle is between 90° and 180°

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14
Q

What is a reflex angle?

A

When a angle is greater than 180°

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15
Q

What is a complementary angle?

A

When multiple angles add up to 90°

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16
Q

What is a supplementary angle?

A

When angles add up to 180°

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17
Q

What is a supplementary angle?

A

When angles add up to 180°

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18
Q

What is a vertical angle?

A

When two opposite angles on two intersecting lines have the same degree measurement

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19
Q

What is a alternate interior and a alternate exterior angle?

A

When you have two parallel lines with a line crossing both. The angles on the inside and outside will be the same

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20
Q

What is a angle bisector?

A

A line that splits an angle into two equal angles

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21
Q

On a graph what is the dependent variable?

A

The value that depends on other allocated values

22
Q

On a graph what is the independent value?

A

When a value can be any value it wants with nothing else affecting it

23
Q

What is the point where the x axis and y axis on a graph meet called?

A

The origin

24
Q

What is the definition of a straight line?

A

As a short distance between two points

25
Q

What is the equation of a straight line?

A

Y=mx+c

26
Q

What does m represent in the straight line equation?

A

Gradient of the line

27
Q

What does the c represent in a straight line equation on a graph? I.e y=mx+c or y=3x+1

A

The point in which the line crosses the y axis

28
Q

In a straight line equation what is represented by the mx in the equation? i.e y=mx+c or y=3x+1

A

When the value of x increase the value of y increases by that value. I.e when x increases by 1 the y increases by 3

29
Q

In a straight line graph if you aren’t given a c value what must you take it as? i.e y=2x

A

The line crosses the y axis at the 0 point

30
Q

On a straight line graph what happens if you aren’t given a x value? I.e y=5

A

Then it will be parallel horizontal line passing through the given y axis

31
Q

On a straight line graph what happens if you aren’t given a c value and it says x=(any number)? I.e x=3

A

It will be parallel vertical line passing through the x axis at the given value

32
Q

If you’re given two coordinates for a straight line graph and told to find the equation what must you do? I.e (1,4)(3,10)

A

Substitute the values into the straight line formula y=mx+c then solve as a simultaneous equation. I.e 4=1m+c and 10=3m+c

33
Q

When plotting a quadratic equation onto a graph what shape will it make? I.e 6x^2+3x+3

A

A smooth symmetrical curve

34
Q

When plotting a quadratic equation on a graph which way will it face if the first coefficient is positive?

A

Open end up

35
Q

When plotting a quadratic equation on a graph which way will it face if the first coefficient is negative?

A

Open end downwards

36
Q

When plotting a quadratic equation on a graph having a larger number on your first coefficient makes the graph?

A

Narrower

37
Q

When plotting a quadratic equation on a graph what does your last value indicate?

A

The y axis intercept

38
Q

What are the roots of a quadratic equation on a graph?

A

The values at which it crosses the x axis

39
Q

What is the adjacent side of a right angle triangle?

A

It is the non-hypotenuse side that is next to a given angle

40
Q

What is the opposite side of a right angle triangle?

A

The side across from a given angle

41
Q

What do all interior angles of a triangle add up to?

A

180°

42
Q

What is trigonometry?

A

A branch of maths that studies the relationship between sides lengths and angles of triangles

43
Q

What method is used in trigonometry to remember sine, cosine, tangent?

A

SOHCAHTOA
Sine=opposite/ hypotenuse
Cosine = adjacent/ hypotenuse
Tangent= opposite/ adjacent

44
Q

On a graph what is the horizontal axis called?

A

The x axis

45
Q

On a graph what is the vertical axis called?

A

The y axis

46
Q

How are rectangular coordinates represent?

A

(X,Y) along then up or down

47
Q

How are polar coordinates represented?

A

(R,θ) length, theta

48
Q

What is theta? θ

A

A sign that is given to an unknown angle

49
Q

When plotting polar coordinates on your graph what does a positive theta mean?

A

It goes anticlockwise from the origin-x axis

50
Q

When plotting polar coordinates on your graph what does a negative theta mean?

A

It goes clockwise from the origin-x axis

B1 1-Maths (4 decks)

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