Unit 8 : Angles Properties in Circles
Learning Objectives
The students should be fitted to:
recognize various parts of a circle.
state the properties of harmonizes of a circle.
state and go for the property of angles at the displace.
state and apply the property of angles in the same department.
recognize the property of angles in a semi-circle.
explain the meaning of the concyclic points.
state the properties of angles in a cyclic quadrilateral.
state the definition of a tangent to a circle.
recognize the properties of the tangents to a circle.
state and apply the alternate segment theorem.
Circles
1.Parts of a circle
A circle is a shut curve in a plane such that whole points on the curve are equidistant from a primed(p) point.
The given distance is called the radius of the circle.
A chord is a line segment with its end points on the circle and a diameter is a chord passing through the centre.
An dismissal is a part of the circle.
A segment is the region jump by a chord and an arc of the circle.
A domain is the region bounded by two radii and an arc.
2.Chords of a circle
next are properties on chords of a circle. All these facts can be proved by the properties of congruent triangles.
|Theorem |Example |
| |O is the centre of the circle. Find the unknown in each of the |
|Theorem 1 |following figures. |
| | |
|The line joining the centre to the midpoint of a chord is perpendicular |1.1...If you want to get a full essay, run it on our website: Ordercustompaper.com
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