Studied by 15 peopleWhat is an acute angle?
An acute angle is an angle between 0 and 90°.
How many degrees is contained within a right angle?
90°
If an angle is obtuse, what is the range of degrees that it could be?
90°-180°
If I have a reflex angle, what is the range of degrees that it could be?
180°-360°
If I add all the angles on a straight line, how many degrees will I get?
180°
How do you find the sum of all the interior angles in a polygon?
(n-2) * 180
If I add all the exterior angles of a polygon together, how many degrees will it be in total?
Exterior angles of a polygon add to 360°
What do the interior angles of a quadrilateral add up to?
They add up to 360°
What does it mean when I say: “Line A is perpendicular to Line B.”?
This means that line A forms a right angles (90°) when it passes through line B.
What do interior angles in a triangle add to?
They add to make 180°
What does it mean if I say: “Line A is parallel to Line B”?
This means that Line A and Line B will never touch/meet.
Work out angle b and give a reason why
Answer: 52° (Reason: Alternate angles on a pair of parallel lines are equal)
What rule about Isosceles triangles does this picture represent?
Base angles in an Isosceles triangle are equal.
Work out the size of angle x and give a reason.
Answer: 148° (Reason: Corresponding angles on parallel lines are equal)
Complete the parallel line rule: “Co-interior angles on parallel lines ___ up to ___°”
Co-interior angles on parallel lines add up to 180°
Complete the sentence: “Vertically ________ angles around a _____ are equal”
Vertically opposite angles around a point are equal.
What is side a called?
Side a is the hypotenuse (longest side in a triangle)
What is the ‘opposite side’ in a triangle?
The opposite side in a triangle is the side that is opposite the angle.
What is the adjacent side in a triangle?
The adjacent side of a triangle is the side that touches both the right angle and the angle that is being used.
What formula would we use if we wanted to work out side c?
We would use the Pythagorean Theorem: a²+b²=c²
If we used sin(angle), what sides would we have to divide?
sin(angle) = opposite/hypotenuse
If we used cos(angle), what sides would we have to divide?
cos(angle) = adjacent/hypotenuse
If we used tan(angle), what sides would we have to divide?
tan(angle) = opposite/adjacent
How would I find an angle when using SOHCAHTOA?
You would use the inverse of the trig values.
What is the sine rule?
a/sinA = b/sinB = c/sinC OR sinA/a = sinB/b = sinC/c
What is the cosine rule used to find a side?
a² = b² + c² - 2bc * cosA
What is the cosine rule used to find an angle?
cosA = b²+c²-a²/2bc
What formula would we use to find the area of a scalene triangle?
You would use: ½absinC
What are the exact values for sin: 0°, 30°, 45°, 60°, 90°
0° = 0
30° = ½
45° = 1/√2
60° = √3/2
90° = 1
What are the exact values for cos: 0°, 30°, 45°, 60°, 90°
0° = 1
30° = √3/2
45° = 1/√2
60° = ½
90° = 0
What are the exact values for tan: 0°, 30°, 45°, 60°, 90°
0° = 0
30° = 1/√3
45° = 1
60° = √3
90° = n/a
How do you calculate the mean of a set of data?
Add up all of the values and then divide by the total number of original values.
What is the median and how do I calculate it?
The median is the middle value in a set of data.
The position of the median is calculated using the formula: n+1/2 (where n = the number of values)
What is the range?
It is the difference between the smallest and largest values in a set of data.
What is the mode?
The mode is the value that appears the most frequently in a set of data.
What is the interquartile range?
The interquartile range is the upper quartile - the lower quartile.
What is quantitative data?
Quantitative data is numerical such as numbers.
What is qualitative data?
Qualitative data is data that is expressed as letters that are not quantifiable.
What is secondary data?
Secondary data is data that was collected by somebody else that could be for a different purpose.
What is primary data?
Primary data is data that is collected by the investigator themselves.
What is continuous data?
Continuous data is numerical data that can take any value within a range and can be split indefinitely (continuous data is measured).
What is discrete data?
Discrete data is data that is numerical and can only be taken at certain values.
What is a population?
A population is the whole group that is being studied.
What is a sample?
A sample is a collection of data from the population.
What is a census?
A census is a collection of data from the whole population.
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