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Parallel lines are always the same distance apart and never meet.
We use arrowheads are used to show that lines are parallel.
See how these lines have one arrow. Then, because these ones are also parallel, but not parallel to the ones before, they have two arrows.
Parallel lines create lots of angles that are either the same or correspond to one another.
In this video we are going to discover what these keywords mean and we're going to use them to find missing angles.
Before we start, you should already know that there are 180 degrees in a straight line. That's a key piece of knowledge that we use when solving parallel line angle questions.
So what do you notice about alternate angles?
Alternate angles are always the same. They make a Z shape. So, you can look out for Z’s but you do also need to remember the name: Alternate.
These angles are called Corresponding Angles. What do you notice about them? Corresponding Angles are also the same but this time they look more like an F than a Z.
These are called Interior Angles. What do you notice about them? Interior Angles always add up to 180 degrees. This is like a C rather than an F or a Z. And so, the final thing we need to add are: Vertically Opposite Angles.
What do you notice? Opposite Angles on a point are always equal. Using these 4 angle facts that there are 180 degrees on a straight line, 360 degrees around a point and 180 degrees in a triangle, here are some questions today. Pause the video. Find the angles and click play when you're ready.
Did you get the angles right? Your explanation may be different but just make sure you used the current terminology.
Here are my reasons; as long as you use the current terminally then any current reason counts.
Here's a final puzzle for you to do. With just these four angles, can you find all the other internal angles? Pause the video and then click play when you want the answers.
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Learn about graphs. In this introductory video we will introduce coordinates, quadrants and the two axis: x-axis and y-axis.
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Let’s discover some more circle theorems so that we can solve all types of geometrical puzzles.
We discovered these 4 theorems in part 1:
Angle at the centre is double the angle at the circumference
The angle in a semi-circle is 90 degrees
Angles in the same segment are equal / Angles subtended by
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If we don't have the vertical height of a triangle, then we can find the area of the triangle using 1/2absinC.
In this video we are going to discover where this formula comes from. The formula is based on area = 1/2 base X height and a