Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

Comprehensive Geometry - Angles, Quadrilaterals, Circles, Area, Perimeter, and 3D Geometry

Krista King via YouTube

Overview

Coursera Flash Sale
40% Off Coursera Plus for 3 Months!
Grab it
Learn fundamental geometry concepts through a comprehensive video playlist covering essential topics from basic shapes to advanced three-dimensional calculations. Master area and perimeter calculations for rectangles, parallelograms, trapezoids, and triangles, then apply the Pythagorean theorem to solve real-world problems including perimeter calculations and inequalities. Explore special right triangles including 45-45-90 and 30-60-90 triangles with their unique properties and ratios. Dive deep into circle geometry by calculating area and circumference, measuring arc lengths and degree measures, and understanding the relationships between tangent lines, inscribed angles, intersecting secants, chords, and circle equations. Advance to three-dimensional geometry where you'll work with nets, volumes, and surface areas of prisms, pyramids, cylinders, cones, and spheres, including surface area to volume ratios. Build foundational skills in naming geometric figures, calculating line segment lengths in both 2D and 3D space, finding midpoints, and applying the isosceles triangle theorem. Develop proof-writing abilities through similarity and congruence problems that require logical reasoning and geometric justification.

Syllabus

area of rectangles (KristaKingMath)
area of rectangles using sums and differences (KristaKingMath)
perimeter of rectangles (KristaKingMath)
area of parallelograms (KristaKingMath)
area of trapezoids (KristaKingMath)
area of a triangle (KristaKingMath)
pythagorean theorem (KristaKingMath)
finding perimeter using the pythagorean theorem (KristaKingMath)
pythagorean inequalities (KristaKingMath)
45-45-90 triangles (KristaKingMath)
30-60-90 triangles (KristaKingMath)
area of circles (KristaKingMath)
circumference of a circle (KristaKingMath)
degree measure of an arc (KristaKingMath)
arc length (KristaKingMath)
tangent lines of circles (KristaKingMath)
inscribed angles of circles (KristaKingMath)
intersecting secants and tangents with the vertex on, inside and outside the circle (KristaKingMath)
intersecting tangent and secant lines of circles (KristaKingMath)
intersecting chords of circles (KristaKingMath)
equation, center and radius, and intercepts of a circle (KristaKingMath)
nets of prisms (KristaKingMath)
volume of prisms (KristaKingMath)
surface area of prisms (KristaKingMath)
surface area to volume ratio of prisms (KristaKingMath)
nets of pyramids (KristaKingMath)
volume of pyramids (KristaKingMath)
surface area of regular pyramids (KristaKingMath)
nets of cylinders (KristaKingMath)
volume of cylinders (KristaKingMath)
surface area of cylinders (KristaKingMath)
nets of cones (KristaKingMath)
volume of cones (KristaKingMath)
surface area of cones (KristaKingMath)
volume of spheres (KristaKingMath)
surface area of spheres (KristaKingMath)
naming simple geometric figures (KristaKingMath)
length of a line segment (KristaKingMath)
Line segments in 3D: Finding the midpoint! (KristaKingMath)
The isosceles triangle theorem is actually really simple! (KristaKingMath)
Are the triangles similar? Can you prove it?! (KristaKingMath)
Pythagorean theorem - What is it?

Taught by

Krista King

Reviews

Start your review of Comprehensive Geometry - Angles, Quadrilaterals, Circles, Area, Perimeter, and 3D Geometry

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.