Geometry 6.4c, Properties of Squares & Congruent Perpendicular Bisectors
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An explanation of how a square is a quadrilateral with four right angles and four congruent sides, and how a square is a parallelogram, a rectangle, AND a rhombus. We verify the properties of a square by showing that the diagonals of the square are congruent perpendicular bisectors of each other by using the Distance Formula, then using the Slope Formula, and finally by using the Midpoint Formula. We use the properties of special parallelograms in a two-column proof to show that a triangle within a rectangle is isosceles. We review the properties of special parallelograms and compare them to each other.
Geometry 6.4a, Properties of Rectangles & 2 Theorems
Geometry 6.4b, Properties of Rhombuses & 3 Theorems
https://www.youtube.com/watch?v=yz3BC6k0vmM&index=85&list=PLKi4WTp6PRGVBM1nPhwW1lTuxi32Q0IZ3
High School Geometry Playlist
https://www.youtube.com/playlist?list=PLKi4WTp6PRGVBM1nPhwW1lTuxi32Q0IZ3
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