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Geometry
Geometry Camp
Geometry
12 topics
101 lectures
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Camp Curriculum
Circles
17 videos
Parallel and Perpendicular lines
14 videos
Deductive Reasoning
1 videos
Non Rigid Transformations (Dilations)
2 videos
Polygons
6 videos
Geometry Basics
3 videos
Properties of Quadrilaterals
5 videos
Right Triangles
13 videos
Rigid Motions (Isometries)
6 videos
Volume
10 videos
Terminology
5 videos
Relationships Within Triangles
19 videos
Lectures
08:24
Right Triangles
30-60-90 Practice Problems
In mathematics, the natural numbers are used to count (or enumerate) objects, such as the objects in a collection or set. These have been defined by the Peano axioms. Natural numbers can be used to count objects (e.g. number of students in a class), to measure lengths (e.g. number of meters in a yard), or to measure rates (e.g. number of miles per hour). The first three numbers (1, 2, and 3) are the first three counting numbers.
Kurt Kleinberg
06:36
Right Triangles
30-60-90 Right Triangles
In mathematics, the natural numbers are used to count (or enumerate) objects, such as the objects in a collection or set. These have been defined by the Peano axioms. Natural numbers can be used to count objects (e.g. number of students in a class), to measure lengths (e.g. number of meters in a yard), or to measure rates (e.g. number of miles per hour). The first three numbers (1, 2, and 3) are the first three counting numbers.
Kurt Kleinberg
06:39
Right Triangles
45-45-90 Right Triangle Practice
In mathematics, the number 45 (forty-five) is a natural number that follows 44 and precedes 46.
Kurt Kleinberg
06:43
Right Triangles
45-45-90 Right Triangles
In mathematics, the number 45 (forty-five) is a natural number that follows 44 and precedes 46.
Kurt Kleinberg
13:16
Right Triangles
Cofunctions definitions and examples
In mathematics, a cofunction is a function that is the inverse of another function. For example, the sine and cosine functions are cofunctions of each other, as are the logarithm and exponential functions.
Kurt Kleinberg
08:35
Right Triangles
Mean Proportional Examples
In mathematics, the mean proportional is a geometric mean, and is the number which is the arithmetic mean of the reciprocals of the members of a set of numbers.
Kurt Kleinberg
08:14
Right Triangles
Mean Proportional Theorems
In mathematics, the mean proportional theorems are a pair of theorems that relate the arithmetic and geometric means of two (or more) numbers. They were first discovered by Nicomachus in the 2nd century AD.
Kurt Kleinberg
08:27
Right Triangles
Pythagorean Examples
In mathematics, a Pythagorean triple consists of three positive integers "a", "b", and "c" such that "a" + "b" = "c" and "a" ? "b" (mod "c"), i.e., "a", "b", and "c" are mutually Pythagorean. The term "Pythagorean triple" is also used to refer to the set of all such triples with a given integer value of "c".
Kurt Kleinberg
06:39
Right Triangles
Pythagorean Theorom
In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. The theorem can be written as an equation relating the lengths of the sides a, b and c, often called the "Pythagorean equation": a^2+b^2+c^2. where c represents the length of the hypotenuse and a and b represent the lengths of the triangle's other two sides.
Kurt Kleinberg
12:13
Right Triangles
Right Triangle Congruence and Examples
In mathematics, the term congruence refers to the relationship between two objects, or sets of objects, when one of the objects is said to be "similar to" or "congruent to" the other. This relationship is denoted x ~ y, and the notation is read "x is congruent to y".
Kurt Kleinberg
09:59
Right Triangles
Trig Ratio Basics
In geometry, the trigonometric functions are functions of an angle. They relate the angles of a triangle to the lengths of its sides. The three main trigonometric functions are the sine (sin), cosine (cos), and tangent (tan). The ratios of the sides are functions of the angles, and they are known as the sine ratio, cosine ratio, and tangent ratio. The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse. The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.
Kurt Kleinberg
11:28
Right Triangles
Trig Word Problems and Applications
In mathematics, trigonometry, also called triangulation, is a branch of mathematics concerning the relationships between the sides and the angles of triangles. Trigonometry is used in the measurement and description of the shapes of objects, such as the positions of stars and the sizes of galaxies, as well as in navigation, engineering, and physics. Trigonometry is also the foundation of surveying. Trigonometry is most simply associated with planar right-angle triangles. The word "trigonometry" comes from the Greek words "trig?non" (????????, "triangle") and "metron" (??????, "measure").
Kurt Kleinberg
16:18
Right Triangles
Using Trig to Solve Triangles
Trigonometry (from Greek trigonon, "triangle" and metron, "measure") is a branch of mathematics that studies relationships involving lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. Trigonometry is also the foundation of surveying.
Kurt Kleinberg