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This unit covered geometric transformations, specifically translations, rotations, reflections, and dilations. I learned how to perform the transformations and map one figure into another using these transformations.

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I learned how to carefully define translations, reflections, rotations, and dilations (mapping shapes). This unit covered what stays the same when we transform figures.

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In this unit, I learned what it meant for two figures to be congruent, and how to determine whether two figures are congruent or not. This important concept is used to prove various geometric theorems about triangles and parallelograms.

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This unit covered what it means for two figures to be similar, and how to determine whether two figures are similar or not. This concept is used to prove geometric theorems and solve some problems with polygons.

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I learned the basis of significant ideas in analytic geometry (the distance between two points in space) and trigonometry.

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This unit encouraged me to think about geometric objects on the coordinate plane and use analytic geometry, also known as coordinate geometry. For example, I can see that opposite sides of a parallelogram are parallel by writing a linear equation for each side and seeing that the slopes are the same.

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This unit covered how cross-sections of a cone form several interesting curved shapes - circles, ellipses, parabolas, and hyperbolas. I used the distance formula to relate the geometric features of the figures to their algebraic equations.

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I explored, proved, and applied important properties of circles that have to do with things like arc length, radians, inscribed angles, and tangents.

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I learned about three-dimensional shapes and all the fascinating properties they possess in this unit. For example, I now know how to apply Cavalieri's principle to calculate the volume for varying shapes. I also explored volume and surface area word problems and cross sections of 3D objects.

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Course Challenge: 90%

I answered 3 incorrectly out of 30 questions.

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Course Challenge: 97%

I answered 1 incorrectly out of 30 questions.

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Course Challenge: 100%

I completed the course challenge with no mistakes!

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I have met my goal; I completed the High School Geometry course in Khan Academy with 100%.