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Seven circle theorems
- Circles have different angle properties, described by theorems There are seven circle theorems.
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There are seven main circle theorems: Alternate segment circle theorem. Angle at the centre circle theorem. Angles in the same segment circle theorem. Angle in a semi circle theorem. Chord circle theorem. Tangent circle theorem. Cyclic quadrilateral circle theorem. Below is a summary of each circle theorem, along with a diagram.
- Congruence and Similarity
Congruent triangles Congruent shapes can be extended to ...
- Parts of a Circle
There are also parts of a circle worksheets based on ...
- Circumference of a Circle
Circumference of a circle formula: There is a specific ...
- Angle in a Semicircle
Angle In A Semicircle Here we will learn about angles ...
- Circles, Sectors and Arcs
What are circles, arcs and sectors? Circles are round ...
- Tangent of a Circle
Here we will learn about the circle theorems involving ...
- Chord of a Circle
Here we will learn about circle theorems involving ...
- Equation of a Circle
There are also equation of a circle worksheets based on ...
- Congruence and Similarity
There are seven circle theorems. An important word that is used in circle theorems is. subtend. . Subtending. An angle is created by two. chords. . The angle in between the two chords is...
- Inscribed Angle
- Inscribed Angle Theorems
- Angle in A Semicircle
- Tangent Angle
First off, a definition: A and C are "end points" B is the "apex point" Play with it here: When you move point "B", what happens to the angle?
Keeping the end points fixed ... ... the angle a° is always the same, no matter where it is on the same arcbetween end points: (Called the Angles Subtended by Same Arc Theorem) And an inscribed angle a° is half of the central angle 2a° (Called the Angle at the Center Theorem) Try it here (not always exact due to rounding):
An angle inscribedacross a circle's diameter is always a right angle: (The end points are either end of a circle's diameter, the apex point can be anywhere on the circumference.) Play with it here:
A tangent linejust touches a circle at one point. It always forms a right angle with the circle's radius.
A circle is a locus of points that are at a fixed distance from a fixed point on a two-dimensional plane. The fixed point is called the center of the circle and the fixed distance is called the radius. In this article, we will explore various circle theorems that are used in geometry for solving different problems.
Theorems This section explains circle theorem, including tangents, sectors, angles and proofs. The video below highlights the rules you need to remember to work out circle theorems.
Circle Theorems. Circle Theorem 1 - Angle at the Centre. Circle Theorem 2 - Angles in a Semicircle. Circle Theorem 3 - Angles in the Same Segment. Circle Theorem 4 - Cyclic Quadrilateral. Circle Theorem 5 - Radius to a Tangent. Circle Theorem 6 - Tangents from a Point to a Circle.
A circle is a locus of points that are equidistant from a fixed point called center. Different theorems are based on the various parts of a circle, such as radius, central angles, tangents, sectors, the chords, etc. These theorems help us to solve many problems in geometry easily.
