June SAT Explained

@tutoredbydesign

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11 videos

Why it worked

The video addresses a specific, recent SAT question that many students likely found challenging, offering a clear and concise solution. The use of on-screen text and a visual demonstration makes the explanation easy to follow, and the call to action for a question bank directly appeals to students preparing for future tests.

Summary

This video explains how to solve a geometry problem from the June SAT involving arcs and angles on a circle. The presenter demonstrates that the arc measure is double the inscribed angle and uses the fact that a full circle is 360 degrees to find the sum of the two requested arcs.

Structure

1Introduction to the problem and its difficulty
2Drawing the circle and points
3Identifying the given angle and the arcs to find

Original caption

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Product placement

The video promotes PolyPrep SAT & AP Test Prep, with the creator offering access to a question bank if viewers comment '1600'. The creator's bio link also leads to the PolyPrep website.

Call to action

Follow & comment “1600” to access our full SAT Question Bank!

On-screen text

9 Points X, Y, and Z lie on a circle. If angle XYZ is equal to 142.1 degrees, what is the sum of the measure of arcs XY and YZ? June SAT Explained IF YOU SAW THE SA TODAY, YOU WERE PROBABLY SUPER CONFUSED. SHOW YOU EXACTLY HOW YOU COULD WE'RE GIVEN THAT POINTS X, ARE ON A CIRCLE. AND WE'RE XYZ IS EQUAL TO 142.1. WE NEED TO OF ARCS XY AND YZ. FIRST WE CAN ACTUALLY JUST PLOT THESE POINTS ON THE CIRCLE. MY POINT X, Y AND Z, AND THE ORDER DOES NOT REALLY MATTER. CONNECT THESE POINTS, MY ANGLE FOR XYZ IS 142.1. AND FIND THE MEASURE OF ARCS YZ. WHAT I CAN DO IS REALISE THAT WHEN I HAVE A POINT ON A CIRCLE AND IT HAS THE ARC THAT IT WILL CREATE IS DOUBLE WHATEVER THAT ANGLE IS. WILL BE 284.2. WE ALSO KNOW THAT ALL OF A CIRCLE ADD 360. SO IF THESE TWO ARCS ARE THE REMAINDER OF THOSE ARE GOING THEN ADD UP 284.2 TO MAKE 360. SO I CAN 360 - 284.2 = 75.8

Transcript

If you saw this question on the SAT today, you were probably super confused. So let me show you exactly how you could have solved it. We're given that points X, Y, and Z are on a circle. And we're told that angle XYZ is equal to 142.1. And we need to find the measure of arcs XY and YZ. What I can do is realise that when I have a point on a circle and it has an angle, the arc that it will create is double whatever that angle is. So this arc will be 284.2. We also know that all of the angles in a circle add up to 360. So if these two arcs are the remainder of the circle, those are going to then add up with 284.2 to make 360. So I can just do 360 minus 284.2 and I get the answer of 75.8.