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- ...nd hence cuts it in only two points.) We define <math>P+Q</math> to be the reflection of <math>R</math> in the <math>x</math>-axis. It takes some effort showing [[Category:Advanced Mathematics Topics]]5 KB (849 words) - 15:14, 18 May 2021
- ...+c</math> is reflected about the <math>x</math>-axis. The parabola and its reflection are translated horizontally five units in opposite directions to become the * [[Mathematics competition resources]]13 KB (1,955 words) - 20:06, 19 August 2023
- ...h> be the graph of <math>xy = 1</math>, and denote by <math>C^*</math> the reflection of <math>C</math> in the line <math>y = 2x</math>. Let the equation of <mat * [[American Invitational Mathematics Examination]]6 KB (902 words) - 07:57, 19 June 2021
- ...s the light beam will bounce off the two line segments. Include the first reflection at <math>C\,</math> in your count. * [[American Invitational Mathematics Examination]]7 KB (1,141 words) - 06:37, 7 September 2018
- ...lection of <math>C</math> across the x-axis, and let <math>E</math> be the reflection of <math>D</math> across the y-axis. The area of pentagon <math>ABCDE</math * [[American Invitational Mathematics Examination]]7 KB (1,204 words) - 02:40, 4 January 2023
- * [[Rotation]] and [[Reflection]] [[Category:Olympiad Mathematics Topics]]2 KB (242 words) - 09:16, 18 June 2023
- [[category:Mathematics]]2 KB (309 words) - 17:40, 28 September 2024
- ...de Longchamps point''' of a [[triangle]] is the [[reflection (mathematics)|reflection]] of the triangle's [[orthocenter]] through its [[circumcenter]]. [[Category:Mathematics]]10 KB (1,782 words) - 19:35, 28 September 2024
- <math>\textbf{(C)}</math> reflection about the <math>x</math>-axis <math>\textbf{(D)}</math> reflection about the line <math>y = x</math>14 KB (2,104 words) - 22:56, 28 August 2024
- ...ndicularly and retracing its path back to <math>A</math> (At each point of reflection the light makes two equal angles as indicated in the adjoining figure. The * [[Mathematics competition resources]]17 KB (2,633 words) - 14:44, 16 September 2023
- ...at sum to <math>n</math>. Arrangements that differ only by a rotation or a reflection are considered the same. How many different bad arrangements are there? * [[Mathematics competition resources]]13 KB (2,011 words) - 20:54, 8 November 2022
- ...> to the lines <math>AB</math> and <math>AC</math>, respectively, then the reflection of <math>D</math> in the line <math>PQ</math> lies on the circumcircle of t * [[Asian Pacific Mathematics Olympiad]]3 KB (454 words) - 21:09, 11 July 2021
- * a reflection across the <math>x</math>-axis, and * [[Mathematics competitions]]14 KB (2,154 words) - 05:53, 14 December 2024
- ...ph of <math>y=e^{x+1}+e^{-x}-2</math> has an axis of symmetry. What is the reflection of the point <math>(-1,\tfrac{1}{2})</math> over this axis? ...textit{symmetric}</math> about a line if the graph remains unchanged after reflection in that line. For how many quadruples of integers <math>(a,b,c,d)</math>, w13 KB (1,968 words) - 09:37, 24 November 2024
- ...ooks on geometry and created a number of beautiful problems. He headed the mathematics section of the Russian Soros Olympiads. After his death, Russia annually ho ...C, I_A</math> be its excenter corresponding to <math>A, I'_A</math> be the reflection of <math>I_A</math> about the line <math>AH.</math> Points <math>I'_B, I'_C46 KB (7,965 words) - 14:29, 17 November 2024