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Question 1189342: I don't understand our module. And the lesson is about proving theorems related to chords,arcs, Central angles and inscribed angles. Determine theorem on inscribed angle and intercept arc that represents it. Show me an example and the solution.
Answer by ikleyn(52798)   (Show Source):
You can put this solution on YOUR website! .
On this subject " theorems related to chords, arcs, central angles and inscribed angles " read my lessons
- A circle, its chords, tangent and secant lines - the major definitions
- The longer is the chord the larger its central angle is
- The chords of a circle and the radii perpendicular to the chords
- A tangent line to a circle is perpendicular to the radius drawn to the tangent point
- An inscribed angle in a circle (*)
- Two parallel secants to a circle cut off congruent arcs
- The angle between two chords intersecting inside a circle
- The angle between two secants intersecting outside a circle
- The angle between a chord and a tangent line to a circle
- Tangent segments to a circle from a point outside the circle
- The converse theorem on inscribed angles
- The parts of chords that intersect inside a circle
- Metric relations for secants intersecting outside a circle
- Metric relations for a tangent and a secant lines released from a point outside a circle
- Quadrilateral inscribed in a circle
- Quadrilateral circumscribed about a circle
in this site.
Find there the lesson on inscribed angle in a circle, marked (*) in the list, and start from it.
My lessons on solved problems for circles, their chords, secant and tangent lines are
- HOW TO bisect an arc in a circle using a compass and a ruler,
- HOW TO find the center of a circle given by two chords,
- Solved problems on a radius and a tangent line to a circle,
- Solved problems on inscribed angles,
- A property of the angles of a quadrilateral inscribed in a circle,
- An isosceles trapezoid can be inscribed in a circle,
- HOW TO construct a tangent line to a circle at a given point on the circle,
- HOW TO construct a tangent line to a circle through a given point outside the circle,
- HOW TO construct a common exterior tangent line to two circles,
- HOW TO construct a common interior tangent line to two circles,
- Solved problems on chords that intersect within a circle,
- Solved problems on secants that intersect outside a circle,
- Solved problems on a tangent and a secant lines released from a point outside a circle and
- The radius of a circle inscribed into a right angled triangle
- Solved problems on tangent lines released from a point outside a circle
in this site.
Also, you have this free of charge online textbook on Geometry
GEOMETRY - YOUR ONLINE TEXTBOOK
in this site.
The referred lessons are the part of this online textbook under the topic "Properties of circles, inscribed angles, chords, secants and tangents ".
Save the link to this online textbook together with its description
Free of charge online textbook in GEOMETRY
https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson
to your archive and use it when it is needed.
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