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## Countdown to Exams - Day 61 - Congruence criteria for triangles

On day 61, we focus our attention on the Congruence criteria for triangles. There will be questions that ask you to state why two triangles are identical. Here you will need to examine the side lengths and angles of the triangle and see which of the four categories they fit into. Side, Side, Side (SSS), Side, Angle, Side (SAS), Angle, Side, Angle (ASA), Right Angle, Hypotenuse, Side (RHS).

You may have to flip/rotate the triangles in your head (or use tracing paper) to see if they match up and identify which criterion to use.

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## Countdown to Exams - Day 54 - Advanced areas

In today's countdown, we take a look at the more Advanced areas that you will come across. We start off with a Parallelogram which is base times height (perpendicular). Just imagine a 'tilted' rectangle. The formula for the trapezium is more complex but just follow the three steps of 1) Add the parallel sides, 2)Halve it, 3)Multiply by height (perpendicular). You might be required to use this formula to find the area under a graph as well as just a shape.

We finish off with the sine rule to find the area of a triangle when you have two sides and the included angle (no height). All area formulae need to be memorised so make sure you can recall them all.

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## Countdown to Exams - Day 45 - SohCahToa

Today we delve a little deeper into the topic of trigonometry, focusing on SohCahToa (mnemonic for the trig functions). You will use this when finding missing angles or side lengths in right angled triangles. The first step will be to accurately label the triangle with Opposite, Adjacent and Hypotenuse. We then have to decide which trig ratio to use to solve the problem.

You could use the formula triangles to instruct you or you could substitute values into the function and rearrange to solve.

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## Countdown to Exams - Day 44 - Trigonometry Functions

Today, we are looking at the Trigonometry Ratios. Trigonometry is usually used to calculate missing side lengths and angles in right-angled triangles. There are three functions you need to aware of; the Sine, Cosine and Tangent Functions and these are related to the lengths of the key terms of the right-angled triangle (Opposite, Adjacent and Hypotenuse). They are simply one side of a right-angled triangle divided by another and will have a specific value dependent upon the angle marked theta (or x).

You are required to know the specific values for each function when given an angle. It will be important to remember the three tables provided in this snapshot.

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## Countdown to Exams - Day 43 - Pythagoras' Theorem

Today, we are looking at Pythagoras' Theorem. When you have a right angled triangle and you know two of the lengths, you can use Pythagoras' theorem to work out the third and final side. Important to note that it ONLY works for a right angled triangle.

Solving questions using Pythagoras' theorem is a three stage process that may alter slightly depending if you need to find the hypotenuse or a shorter side. There will some questions where Pythagoras' theorem will be required as well as trigonometry in more complex questions.

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## Countdown to Exams - Day 41 - Angles in triangles and polygons

On day 41, we start by taking a look at calculating the missing angle in triangles (add up to 180 degrees). It is important to aware of the Isosceles and Equilateral triangles as they have very specific angle properties. We then move onto angles in polygons which can be found by using a special formula. If in doubt, use the fact that the number of triangles in a shape is always two less than the number of sides.

If in doubt, use the fact that the number of triangles in a shape is always two less than the number of sides.

You will have to be able to calculate the exterior angle of a shape as well (all exterior angles make 360 degrees, Interior + Exterior = 180 degrees)

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## Countdown to Exams - Day 37 - Triangles

Today we are  taking a look at the properties of Triangles. You will have to be able to name all of the triangles according to properties that they have. The key properties you will have to look out for are Side lengths, and angles.

It is important that you can correctly identify the types of triangle you are working with as it will help with finding missing angles in more complex problems (circle theorems, bearing problems)

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## Countdown to Exams - Day 44 - Trigonometry functions

We move onto Trigonometry for day 44. We will focus on the trig functions of Sine, Cosine and Tangent. For your exam, you will be required to know specific angle values of Sin, Cos and Tan and these can be seen in the tables. You will also have to know how to use the functions in order to calculate missing angles and side lengths in right angled triangles. Before you start any trigonometry problem, it will be crucial to label your right angled triangle with Opposite, Adjacent and Hypotenuse accuratley. This will then help to decide which of the three trigonometry functions to use.

Before you start any trigonometry problem, it will be crucial to label your right angled triangle with Opposite, Adjacent and Hypotenuse accurately. This will then help to decide which of the three trigonometry functions to use.

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