1.3 Geometry

Question 1

In relation to a triangle what is a vertex?

Answer 1

The point where two sides meet

Question 2

How are equal sides shown on a triangle?

Answer 2

By a dash or double dash

Question 3

How are equal angles shown in a triangle?

Answer 3

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

Question 4

What is an obtuse triangle?

Answer 4

When one angle is greater than 90°

Question 5

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

Answer 5

Hypotenuse

Question 6

What is a scalene triangle?

Answer 6

When all three sides and all three angles are different values

Question 7

In writing what is Pythagoras theorem?

Answer 7

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

Question 8

What is the formula for Pythagoras theorem?

Answer 8

a^2 + b^2 = c^2

Question 9

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

Answer 9

Pythagoras theorem

Question 10

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

Answer 10

Arc length over radius

Question 11

What is an acute angle?

Answer 11

Less than 90°

Question 12

What is a right angle?

Answer 12

When a angle is exactly 90°

Question 13

What is an obtuse angle?

Answer 13

When a angle is between 90° and 180°

Question 14

What is a reflex angle?

Answer 14

When a angle is greater than 180°

Question 15

What is a complementary angle?

Answer 15

When multiple angles add up to 90°

Question 16

What is a supplementary angle?

Answer 16

When angles add up to 180°

Question 17

What is a supplementary angle?

Answer 17

When angles add up to 180°

Question 18

What is a vertical angle?

Answer 18

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

Question 19

What is a alternate interior and a alternate exterior angle?

Answer 19

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

Question 20

What is a angle bisector?

Answer 20

A line that splits an angle into two equal angles

Question 21

On a graph what is the dependent variable?

Answer 21

The value that depends on other allocated values

Question 22

On a graph what is the independent value?

Answer 22

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

Question 23

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

Answer 23

The origin

Question 24

What is the definition of a straight line?

Answer 24

As a short distance between two points

Question 25

What is the equation of a straight line?

Answer 25

Y=mx+c

Question 26

What does m represent in the straight line equation?

Answer 26

Gradient of the line

Question 27

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

Answer 27

The point in which the line crosses the y axis

Question 28

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

Answer 28

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

Question 29

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

Answer 29

The line crosses the y axis at the 0 point

Question 30

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

Answer 30

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

Question 31

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

Answer 31

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

Question 32

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)

Answer 32

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

Question 33

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

Answer 33

A smooth symmetrical curve

Question 34

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

Answer 34

Open end up

Question 35

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

Answer 35

Open end downwards

Question 36

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

Answer 36

Narrower

Question 37

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

Answer 37

The y axis intercept

Question 38

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

Answer 38

The values at which it crosses the x axis

Question 39

What is the adjacent side of a right angle triangle?

Answer 39

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

Question 40

What is the opposite side of a right angle triangle?

Answer 40

The side across from a given angle

Question 41

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

Answer 41

180°

Question 42

What is trigonometry?

Answer 42

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

Question 43

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

Answer 43

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

Question 44

On a graph what is the horizontal axis called?

Answer 44

The x axis

Question 45

On a graph what is the vertical axis called?

Answer 45

The y axis

Question 46

How are rectangular coordinates represent?

Answer 46

(X,Y) along then up or down

Question 47

How are polar coordinates represented?

Answer 47

(R,θ) length, theta

Question 48

What is theta? θ

Answer 48

A sign that is given to an unknown angle

Question 49

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

Answer 49

It goes anticlockwise from the origin-x axis

Question 50

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

Answer 50

It goes clockwise from the origin-x axis