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  • ...h no parts on either figure left over. In plain language, two objects are congruent if they have the same size and shape. Two [[geometry | geometric]] objects are '''congruent''' if one can be transformed into the other by an [[isometry]], such as a [
    10 KB (1,655 words) - 15:56, 17 September 2024

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  • === Proof 4 (Geometry) === ...rtain numbers. By Fermat's Little Theorem, we know <math>{n^{5}}</math> is congruent to <math>n</math> [[modulo]] 5. Hence,<br>
    16 KB (2,660 words) - 22:42, 28 August 2024
  • ...s a four-sided [[polygon]]. Some special quadrilaterals include [[square (geometry)|square]]s, [[rectangle]]s, [[rhombus|rhombi]], [[parallelogram]]s, [[trape A kite is a quadrilateral with two pairs of adjacent [[congruent]] [[edge]]s.
    2 KB (189 words) - 19:19, 6 October 2024
  • ...ctions of the sides summing to 180 degrees. Triangles exist in Euclidean [[geometry]], and are the simplest possible polygon. In [[physics]], triangles are not An '''equilateral''' triangle has three congruent sides and is also [[equiangular]]. Note that all equilateral triangles are
    4 KB (631 words) - 20:16, 8 October 2024
  • ...one]]. (In fact, one usually considers a "two-ended cone," that is, two [[congruent]] right circular cones placed tip to tip so that their axes align.) As is ...conic section formed when the cutting plane is [[parallel]] to the [[base (geometry) | base]] of the cone or equivalently [[perpendicular]] to the axis. (This
    6 KB (1,003 words) - 15:47, 13 November 2024
  • ...awing all four semi-axes divides the ellipse into 4 [[congruent (geometry)|congruent]] quarters. * [[Geometry]]
    5 KB (892 words) - 20:52, 1 May 2021
  • ...would imply that the angles <math>BAC </math> and <math>BDC </math> are [[congruent]], i.e., that <math>ABCD </math> is a cyclic quadrilateral. [[Category:Geometry]]
    3 KB (602 words) - 08:01, 7 June 2023
  • ...iangle median|median]] is a cevian that divides the opposite side into two congruent lengths. [[Category:Geometry]]
    1 KB (194 words) - 00:35, 19 June 2018
  • ...A polygon is regular if all sides are the same length and all angles are [[congruent]]. * [[Geometry]]
    2 KB (372 words) - 18:04, 30 May 2015
  • ...h> such that the angle between this line and <math>\overline{AB}</math> is congruent to the angle between this line and <math>\overline{AC}</math>: * [[Geometry]]
    3 KB (575 words) - 14:27, 19 March 2023
  • ...esulting figure is larger), identity transformation (resulting figure is [[congruent]]), or a contraction (resulting figure is smaller). A homothety with cente * https://brilliant.org/wiki/euclidean-geometry-homothety/ (contains sample problems and related proofs)
    3 KB (533 words) - 12:51, 2 September 2024
  • ...es of a parallelogram. In addition, rectangles have [[congruent (geometry)|congruent]] [[diagonal]]s. [[Square (geometry) | Square]]s are the only rectangles which are also [[rhombus]]es.
    782 bytes (108 words) - 12:36, 6 March 2022
  • * Opposite sides are [[congruent (geometry) | congruent]]. * Opposite [[angle]]s are congruent.
    910 bytes (122 words) - 20:48, 13 November 2024
  • ...ned as a [[quadrilateral]] all of whose sides are [[congruent (geometry) | congruent]]. It is a special type of [[parallelogram]], and its properties (aside fr * Its diagonals divide the figure into 4 congruent [[triangle]]s.
    3 KB (490 words) - 14:30, 22 February 2024
  • ...are two types of quadrilaterals with two pairs of [[congruent (geometry) | congruent]] [[edge]]s, the [[parallelogram]] (if the members of each pair are opposit * 2 sets of consecutive, congruent sides
    784 bytes (122 words) - 12:09, 22 July 2024
  • * congruent diagonals * 2 pairs of congruent [[angles]]
    577 bytes (81 words) - 09:33, 18 April 2019
  • ...s, so our line cuts through the four aforementioned circles splitting into congruent areas, and there are an additional two circles on each side. The line passe ...ng that our answer passes through the tangency of the two circles, cutting congruent areas, a result explored in solution 1.
    4 KB (731 words) - 16:59, 4 January 2022
  • ...Q, R,} </math> and <math> \mathcal{S} </math> are [[congruent (geometry) | congruent]], and each has [[area]] <math> \sqrt{2006}. </math> Let <math> K </math> b [[Category:Intermediate Geometry Problems]]
    5 KB (730 words) - 14:05, 15 January 2024
  • ...ntains the point <math>A</math>. The segment <math>AB</math> is [[tangent (geometry)|tangent]] to the circle at <math>A</math> and <math>\angle AOB = \theta</m ...nd <math>A</math>, respectively, then there exists a [[circle]] [[tangent (geometry)|tangent]] to both <math>\stackrel{\frown}{AC}</math> and <math>\stackrel{\
    13 KB (1,948 words) - 09:35, 16 June 2024
  • ...gle AED</math> and <math>\angle BEC</math> are vertical angles so they are congruent, as are angles <math>\angle ADE</math> and <math>\angle BCE</math> (both ar [[Category:Introductory Geometry Problems]]
    2 KB (286 words) - 09:16, 19 December 2021
  • ...d the sides <math>\overline{AB}</math> and <math>\overline{AC}</math> are congruent. What is the area of <math>\triangle ABC</math>? [[Category:Introductory Geometry Problems]]
    5 KB (811 words) - 10:44, 30 November 2024

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