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## Vertical Angles Theorem

1-1 Vertical Angles Theorem Vertical angles are congruent. Theorem 1-2 Congruent Supplements Theorem If two angles are supplements of congruent angles (or of the same angle), then the two angles are congruent. Theorem 1-3 Congruent Complements Theorem If two angles are complements of congruent angles (or of the same angle), then the two angles are congruent. Theorem 2-1 Triangle Angle-Sum Theorem The sum of the measures of the angles of a triangle is 180. Theorem 2-2 Exterior Angle Theorem The

## Estimating Lines and Angles

Estimating Lines and Angles The problem- We were set a piece of coursework that involved asking people to guess the line and the angle size that were drawn on a piece of paper. We had to collect data, analyse it and then draw up a conclusion. The method- I drew a line on a blank piece of paper and on another blank sheet I drew an angle. I then asked 15 girls and 15 boys from y10 to estimate the line and angle. I didn't know the sizes at this point so that there was no way I could give

## Methods to Find Angles and Sides in a Triangle

There are multiple methods that can be used to find the sides and angles of a triangle. Examples include Special Rights (30, 60, 90 and 45, 45, 90), SOHCAHTOA, and the law of sines and cosines. These are very helpful methods. I will explain to my best ability how to do all three of these with examples at the end. The first example special rights are used only with right triangles. To do this method you have to have angle measures of 30, 60, and 90, or 45, 45, and 90. There is a “stencil” that goes

## Momaday's Angle of Geese and Other Poems

Angle of Geese and Other Poems MOMADAY had been writing poetry since his college days at University of New Mexico, and this volume incorporates many of his earlier efforts. Momaday admired the poetry of Hart Crane as an undergraduate, and early poems like "Los Alamos" show Crane's influence. Under the tutelage of Yvor Winters at Stanford Momaday developed an ability to provide clear, precise details and images in his verse. As a graduate student at Stanford, Momaday absorbed the influence

## Investigating How Estimating Lines and Angles Varies

Lines and Angles Varies Aim of Investigation: To investigate how the estimation of lines and angles varies from each other, and how the estimation varies within both genders. Angles and lines have been chosen, as they are continuous data, leaving the survey to be more wide-ranged. Hypothesis 1:The difference in angle estimation shall be more than inaccurate than then length estimation. I believe this because the awareness upon lengths is more common than the familiarity of angles, within

## The Relationship between the Angle of Elevation of a Ramp and the Speed of a Bal

The Relationship between the Angle of Elevation of a Ramp and the Speed of a Ball Introduction In this piece of coursework I'm going to investigate and measure the speed of the ball rolling down a ramp. From the data that I'm going to collect I'm going to be able to work out the Gravitational potential energy when changing the height, the friction force acting on the ball whilst it rolling down, and finally the kinetic energy exerted by the ball. Planning Fair Testing Before

## Investigating How the Size of a Shadow Depends on the Angle at Which the Light Hits the Object

Investigating How the Size of a Shadow Depends on the Angle at Which the Light Hits the Object Introduction ============ The aim of the project is to see which factors affect the size of a shadow and then to look more closely at one of the factors to see how exactly it varies the size of a shadow. Variables that may affect the size of the shadow ================================================ Although, I will investigate how one factor affects the size of a shadow, there

## The Ability of School Pupils to Determine Length vs. the Size of an Angle

The Ability of School Pupils to Determine Length vs. the Size of an Angle My first hypothesis is that school pupils can estimate the length of a line, in millimeters, better than the size of an angle, in degrees. Plan for collecting data To see if my hypothesis is true I am going to have to support it with data. The first aspect I had to consider was whether to collect primary or secondary data. I decided to collect them both, as then I will have a variety of data to compare. Then mainly

## Investigating the Relationship Between the Lengths, Perimeter and Area of a Right Angle Triangle

Investigating the Relationship Between the Lengths, Perimeter and Area of a Right Angle Triangle Coursework Aim To investigate the relationships between the lengths, perimeter and area of a right angle triangle. Pythagoras Theorem is a² + b² = c². 'a' being the shortest side, 'b' being the middle side and 'c' being the longest side of a right angled triangle. So the (smallest number)² + (middle number)² = (largest number)² The number 3, 4 and 5 satisfy this condition 3²

## Trignometry: The Most Common Applications Of Trigonometry

Applications of Trignometry Trigonometry is the branch of mathematics that is based on the study of triangles. This study helps defining the relations between the different angle measures of a triangle with the lengths of their sides. Trigonometry functions such as sine, cosine, and tangent, and their reciprocals are used to find the unknown parts of a triangle. Laws of sines and cosines are the most common applications of trigonometry that we have used in our pre-calculus class. Historically. Trigonometry

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