Luokat: Kaikki - contact - theorems

jonka Ruchith Simha 5 vuotta sitten

320

circles

The text delves into various geometric properties and theorems related to circles, focusing on the behavior of tangents, secants, and radii. Theorems are discussed, such as one stating that tangents from a single external point to a circle are equal, and another asserting that a tangent meeting the radius at the point of contact is perpendicular to the radius.

circles

circles

questions

Theorem 2
circumscribing quadrilaterals
triangles:area and perimeter
concentric circles chord/tangent
find length of side of circumscribing triangle
Theorem 1 and 3
use pythagorean theorem to find length of an associated line
prove

concepts

the point where a tangent meets a circle is called the point of contact
a point outside the circle has 2 tangents passing through it
a point on the circle has 1 tangent passing through it
A point inside the circle has no tangents passing through it
A secant is a line that intersects a circle at two distinct points
A tangent is a line that intersects a circle at only one distinct point

theoroms

Theorom 3 = a line drawn through the end of a radius
Theorom 2 = two tangents from a single external point which meet the same circle are equal
Theorom 1 = a tangent which meets the radius of a circle at the point of contact is perpendicular to the radius