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  2. Midpoint - Wikipedia

    en.wikipedia.org/wiki/Midpoint

    Any line perpendicular to any chord of a circle and passing through its midpoint also passes through the circle's center. The butterfly theorem states that, if M is the midpoint of a chord PQ of a circle, through which two other chords AB and CD are drawn; AD and BC intersect chord PQ at X and Y correspondingly, then M is the midpoint of XY.

  3. Midpoint theorem (triangle) - Wikipedia

    en.wikipedia.org/wiki/Midpoint_theorem_(triangle)

    The midpoint theorem generalizes to the intercept theorem, where rather than using midpoints, both sides are partitioned in the same ratio. [1] [2] The converse of the theorem is true as well. That is if a line is drawn through the midpoint of triangle side parallel to another triangle side then the line will bisect the third side of the triangle.

  4. Chord (geometry) - Wikipedia

    en.wikipedia.org/wiki/Chord_(geometry)

    A chord (from the Latin chorda, meaning "bowstring") of a circle is a straight line segment whose endpoints both lie on a circular arc. If a chord were to be extended infinitely on both directions into a line, the object is a secant line. The perpendicular line passing through the chord's midpoint is called sagitta (Latin for "arrow").

  5. Nine-point circle - Wikipedia

    en.wikipedia.org/wiki/Nine-point_circle

    The nine-point center N is one-fourth of the way along the Euler line from the centroid G to the orthocenter H: [6]: p.153 H N ¯ = 3 N G ¯ . {\displaystyle {\overline {HN}}=3{\overline {NG}}.} Let ω be the nine-point circle of the diagonal triangle of a cyclic quadrilateral .

  6. Bisection - Wikipedia

    en.wikipedia.org/wiki/Bisection

    Line DE bisects line AB at D, line EF is a perpendicular bisector of segment AD at C, and line EF is the interior bisector of right angle AED. In geometry, bisection is the division of something into two equal or congruent parts (having the same shape and size). Usually it involves a bisecting line, also called a bisector.

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    mail.aol.com

    Get AOL Mail for FREE! Manage your email like never before with travel, photo & document views. Personalize your inbox with themes & tabs. You've Got Mail!

  8. Median (geometry) - Wikipedia

    en.wikipedia.org/wiki/Median_(geometry)

    The triangle medians and the centroid.. In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. . Every triangle has exactly three medians, one from each vertex, and they all intersect at the triangle's cent

  9. NYT ‘Connections’ Hints and Answers Today, Wednesday, December 11

    www.aol.com/nyt-connections-hints-answers-today...

    If you've been having trouble with any of the connections or words in Wednesday's puzzle, you're not alone and these hints should definitely help you out. Plus, I'll reveal the answers further ...