Welcome To StudyGate
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Welcome To StudyGate!

Hello, and welcome to StudyGate! We are an online tutoring service connecting a worldwide community of students, parents, and tutors dedicated to your academic success. It doesn’t matter if you’re a freshman in high school or finishing up your PhD, […]

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Concept of Central Angle
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How to Measure a Central Angle

Three Little Kittens Found their Mittens So they shall have some pie. Said one, “The size for me is an arc from A to B and just shy of 360!”   Not quite sure what this little kitten was going […]

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When, Why, and How to Use the Half-Angle Formula

The half-angle formula, and its counterpart, the double-angle formula, will usually crop up in trigonometry, and sometimes pre-calculus classes. Sometimes you’ll be instructed to evaluate a trig function of an angle that’s not specifically included on the unit circle, and […]

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angle addition postulate example
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Angle Addition Postulate

Okay, here’s a brain zinger: if someone tells you that they are using the awesome Angle Addition Postulate, what do you think they are adding? If you said “angles,” you would be 100 percent correct! The Angle Addition Postulate basically […]

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45-45-90 triangles: geometry math online learning
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Lord of the 45-45-90 Triangle

Triangles come in all sizes. Some are acute, some are obtuse, and some are just right. The ones that are just right weren’t designed by Goldilocks. But she knew a right triangle when she saw it. She knew that a […]

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corresponding angles
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Angling for Angle Pairs

There’s something to be said about angles: “To think I will never see An angle as complementary as thee. An angle whose hungry mouth is open To a supplementary pair unbroken With a line, perpendicular or straight, We a newborn […]

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calculating area of a trapezoid
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Trapezoid Training

If your first thought of a trapezoid was either a flying circus act or a muscle in the shoulder, this blog is for you! First, a minor let down. A trapezoid is nothing exotic as double summersault through the air. […]

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central angles
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Coterminal Angles Quickly Solved

All right, math wizards, here’s a trick question: does a circle have more than 360° in it? The answer: nope. Once you go all the way around a circle, you end up back at the beginning! Pretty easy, right? But […]

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acute angle and obtuse angle
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How to Determine a Reference Angle

Here’s a secret that math tutors keep to themselves: Sometimes, the fanciest math skills are actually the simplest ones! Like the ultra-mysterious Reference Angle! Sounds pretty impressive, no? But Reference Angles are actually one of the easiest things to define. […]

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Ways to prove there are 2 similar triangles
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How to Prove There are 2 Similar Triangles

In the whole, wide world of geometry, there are so many shapes and sizes of triangles that you might think they’re all exactly the same, or that they’re all completely different. Not necessarily! Two triangles must share precisely specific traits […]

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