Ratios and Proportions, Arithmetic & Geometric Mean, Means Extremes Theorem - Geometry Problems Video
This geometry video tutorial provides a basic introduction into solving ratios and proportions word problems. It explains how to calculate the arithmetic mean and geometric mean of two numbers. It helps you to understand why this process works by writing an arithmetic sequence and a geometric series. It mentions how to calculate the mean proportional of two numbers as well as how to identify the means and extremes. It contains a practice problem that helps you to calculate the number of girls in a classroom given the ratio of boys to girls. It discusses how to determine the ratio of x to y given an equation. It contains a problem that explains how to determine the ratio of the area of two squares as well as the ratio of the perimeter of two squares. There's another problem that explains how to use ratios and proportions to calculate the distance between two cities given a scale map as well as the scale factor that goes with it. The last problem discusses how to calculate the perimeter of a rectangle given the area of the rectangle with the ratio of the length to the width of the rectangle.
Polygons:
https://www.youtube.com/watch?v=E_-3ulbtcLk
Quadrilaterals:
https://www.youtube.com/watch?v=ogcH3eM5beM
Skew Lines:
https://www.youtube.com/watch?v=cemF45vNOhg
Points, Lines, Planes, & Segments:
https://www.youtube.com/watch?v=dDWjhRfBsKM
Triangles - Basic Introduction:
https://www.youtube.com/watch?v=q7vI2oXL0gQ
Number of a Diagonals In a Polygon:
https://www.youtube.com/watch?v=jZYL2TUrYSw
___________________________________
Similar Triangles:
https://www.youtube.com/watch?v=YiFwvAFk-xs
Similar Triangles - Enlargement Ratios:
https://www.youtube.com/watch?v=r7m424e3Kdc
Triangle Similarity - SSS, SAS, & AAA:
https://www.youtube.com/watch?v=VXlFEilh-cw
Triangle Proportionality Theorem:
https://www.youtube.com/watch?v=EQpguitDfGU
Altitude on Hypotenuse Theorem:
https://www.youtube.com/watch?v=RiTp3vyWe0o
___________________________________
Pythagorean Theorem:
https://www.youtube.com/watch?v=d8EA5TxGzcY
The Distance Formula:
https://www.youtube.com/watch?v=YDvUy5VYm9E
Distance Between 2 Points - 3D:
https://www.youtube.com/watch?v=0c6cP2zLC2c
Final Exams and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
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