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- *[[Congruence]]4 KB (631 words) - 20:16, 8 October 2024
- ...th two sides and an include angle are [[congruent]] by the Side-Angle-Side congruence postulate.6 KB (1,003 words) - 23:02, 19 May 2024
- ...e is the origin, for easier calculations, as the slope of the line and the congruence of the circles do not depend on it. <math>O_1=(-3, 16)</math> <math>O_2=(0,6 KB (1,022 words) - 18:29, 22 January 2024
- ...must also satisfy <math>x^3 \equiv 13 \pmod{125}</math> from our original congruence. It is easy to memorize that <cmath>17^3 \equiv \mathbf{4913} \equiv 38 \pm6 KB (893 words) - 07:15, 2 February 2023
- ...We know that <math>k(y+1) \equiv 0 \mod y+1</math>. We finally achieve the congruence <math>1-k \equiv 0 \mod y+1</math>.4 KB (646 words) - 11:20, 28 December 2024
- ...as <math>19^2 \equiv 361 \equiv 1 \pmod {180}</math>, so multiplying this congruence by <math>19</math> on both sides gives <math>x \equiv 2679 \equiv 159 \pmod5 KB (757 words) - 20:59, 23 December 2024
- We can write a congruence statement as shown:2 KB (315 words) - 10:35, 18 August 2024
- Equations are similar to [[congruence]]s (which relate geometric figures instead of numbers) and other relationsh5 KB (932 words) - 11:57, 26 July 2023
- ==[[Triangle]] Congruence== === SSS Congruence ===10 KB (1,655 words) - 15:56, 17 September 2024
- ...tice and you will see 3 pairs of congruent triangles by HL (Hypotenuse-Leg Congruence). From these congruent triangles, mark equal lengths and you will find that8 KB (1,339 words) - 13:15, 1 August 2022
- ...the smallest number that satisfies, thus <math>c=5</math>. For the second congruence, we find that <math>40</math> is the smallest number that satisfies, thus <6 KB (914 words) - 10:07, 7 September 2023
- From ASA Congruence we deduce that <math>A_1 A_2 O_1</math> and <math>A_7 A_8 O_7</math> are co3 KB (609 words) - 08:52, 20 July 2016
- It's not hard to see that the four faces are congruent from SSS Congruence. Without loss of generality, assume that <math>AB\leq BC \leq CA</math>. No ...obtuse. WLOG, assume <math>\angle BAC</math> is an obtuse angle. Using SSS congruence to prove that all four faces of the tetrahedron are congruent also shows th8 KB (1,458 words) - 22:42, 27 February 2022
- <math>\triangle BAO\cong\triangle BCO</math> by SSS congruence, so <math>\angle ABO = \angle CBO = \frac{60}{2} = 30 ^\circ</math>. Since4 KB (576 words) - 18:59, 25 November 2023
- ...math> and one angle of measure <math>90^\circ - \dfrac{B}{2}</math> by SAS Congruence, and so <math>\angle{BFA} = 90^\circ</math>. It then follows that triangles7 KB (1,189 words) - 00:22, 19 November 2023
- ...that <math>\triangle M_7 B_7 M_1 =\triangle M_1 B_1 M_3</math> through ASA congruence (<math>\angle B_7 M_7 M_1 =\angle B_1 M_1 M_3</math>, <math>M_7 M_1 = M_1 M8 KB (1,365 words) - 15:07, 2 September 2024
- ...Dropping the altitude of our triangle splits it into two triangles. By HL congruence, these are congruent, so the "short side" is <math>\frac{s}{2}</math>.1 KB (189 words) - 03:06, 18 June 2018
- We can draw the altitude for the side with length 30. By HL Congruence, the two triangles formed are congruent. Thus the altitude splits the side We can draw the altitude for the side with length 40. By HL Congruence, the two triangles formed are congruent. Thus the altitude splits the side2 KB (380 words) - 10:35, 4 January 2025
- ...a proof that shows that there are 2 distinct equilateral triangles (up to congruence) that have the given properties. We claim that there are 2 distinct equilateral triangles (up to congruence) that have the given properties; one of which has largest area. We have two13 KB (2,146 words) - 12:15, 29 December 2024
- .../math>, <math>b_4</math> determine the unit digits of the two sides of the congruence equation, we have <math>a_5=b_4=0,1,2,3,4</math>. Thus,10 KB (1,623 words) - 17:45, 8 November 2024