https://padlet.com/themagicmaddie_12/ocxyw8bf85rg circles and theorems and great EOC grades en-us 2019-10-27 13:39:03 UTC 2025-12-10 10:27:11 UTC hello@padlet.com themagicmaddie_12 https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403011062 2019-10-27 13:44:41 UTC https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403011062 themagicmaddie_12 https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403011292 https://youtu.be/T471m6Hy_Zk

]]> 2019-10-27 13:46:50 UTC https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403011292 themagicmaddie_12 https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403012533 https://www.desmos.com/calculator/zs5wfg9uem]]> 2019-10-27 13:59:50 UTC https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403012533 themagicmaddie_12 https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403013271 Radius- A line segment that connects the center of the circle to any given point on the circumference. The radius is half the distance of the diameter.

Diameter- The longest chord of the circle, it crosses through the center of the circle and connects two points of the circumference.

Chord- A line in the circle that connects two point of the circumference without passing through the center.

Circumference- The outer distance of a circle, so the line you would draw. It can be thought of as the perimeter of a circle.

Semi-Circle- An arc that measures 180 degrees, thus a sector that measures as half a circle.

Arc- A segment of the circumference. Oftentimes it is denoted by degrees, and can be used to find the measures of other angles. 

Tangent- A line that intersects the circle at only one point. It creates 90 degree angle with the radius and can be used to solve for other angles. 

Sector- A segment of a circle that goes from the arc to the center and is enclosed by radii. A metaphorical slice of pizza.

Segment- A region of a circle enclosed by a chord. It goes from the chord to the circumference. Think of it like a smaller or larger version of a semi-circle. ]]> 2019-10-27 14:06:09 UTC https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403013271 themagicmaddie_12 https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403017736 2019-10-27 14:44:50 UTC https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403017736 themagicmaddie_12 https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403017813 https://study.com/academy/lesson/chord-theorems-of-circles-in-geometry.html]]> 2019-10-27 14:45:13 UTC https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403017813 themagicmaddie_12 https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403018373 https://www.desmos.com/calculator/zs5wfg9uem]]> 2019-10-27 14:50:02 UTC https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403018373 themagicmaddie_12 https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403018495 Theorem 1 is focused on chords, and it states that within a circle or in congruent circles, chords equidistant from the center or centers are congruent. 

To make this so non-mathematicians to can understand it, it's simply put that in circles that have congruent measurements, or if in the same circle any chords that are in the same place as each other in relation to the center of their given circle are congruent. ]]> 2019-10-27 14:50:51 UTC https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403018495 themagicmaddie_12 https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403019198 This theorem states that within a circle or in congruent circles, congruent central angles have congruent chords. 

To make it easier for those who are not people of math, all theorem three is saying is that in a circle or in congruent circles if the central angles are congruent, then the chords associated with them are as well. ]]> 2019-10-27 14:55:53 UTC https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403019198 themagicmaddie_12 https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403020566 This states that if two chords intersect one another in the interior of a circle, then the products of their segments is equal. 

In simple form, this theorem states that in two chords intersect inside of a circle and you multiply their segments by each other, the products will be equal. ]]> 2019-10-27 15:06:41 UTC https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403020566 themagicmaddie_12 https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403023539 2019-10-27 15:26:15 UTC https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403023539 themagicmaddie_12 https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403025407 https://youtu.be/YElEMkzd97g]]> 2019-10-27 15:40:14 UTC https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403025407 themagicmaddie_12 https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403025454 https://www.desmos.com/calculator/zs5wfg9uem]]> 2019-10-27 15:40:33 UTC https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403025454 themagicmaddie_12 https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403025668 Of the angle]]> 2019-10-27 15:42:06 UTC https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403025668 themagicmaddie_12 https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403025761 If the vertex is at the center of the circle, where the angles of the circle meet the circumference the angle is formed. The degree of the angle with the vertex at the center will be equal to the degree of the arc. ]]> 2019-10-27 15:42:50 UTC https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403025761 themagicmaddie_12 https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403027965 If the vertex of the angle is on the circle the arc where the angles meet the circumference then the measure of the angle will be one half the measure of the arc. ]]> 2019-10-27 15:57:33 UTC https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403027965 themagicmaddie_12 https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403030381 If there are two lines that intersect each other, but not in the center of the circle, the the angle formed by their intersection (the point of intersection being the vertex) will result in the degrees of the major arc plus the degrees of the minor arc over two being equal to the angle measure. ]]> 2019-10-27 16:13:59 UTC https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403030381 themagicmaddie_12 https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403031151 If the vertex of the angle is outside the circle and the angles lines intersect the circumference then the measure of the angle formed with the vertex is the measure of major arc minus the minor arc, over two. ]]> 2019-10-27 16:18:57 UTC https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403031151 themagicmaddie_12 https://padlet.com/themagicmaddie_12/ocxyw8bf85rg/wish/403032062 https://youtu.be/XUus6-9E9sQ

http://jwilson.coe.uga.edu/EMT669/Student.Folders/Banker.Teresa/unitstdy/unitstdy.html.1

https://www.mathopenref.com/chordsintersecting.html#targetText=When%20two%20chords%20intersect%20each,of%20their%20segments%20are%20equal.&targetText=It%20is%20a%20little%20easier,the%20diagram%20on%20the%20right.&targetText=This%20theorem%20states%20that%20A,matter%20where%20the%20chords%20are.

https://www.khanacademy.org/math/geometry/hs-geo-circles/hs-geo-inscribed-angles/a/inscribed-and-central-angles-proof

https://youtu.be/YElEMkzd97g

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