Create the page "Similar(geometry)" on this wiki! See also the search results found.

• 2013 AMC 10A Problems/Problem 12
  [[Category: Introductory Geometry Problems]] ...al triangles <math>\triangle BDE</math> and <math>\triangle EFC</math> are similar to <math>\triangle ABC</math>, and are therefore also isosceles triangles.
  3 KB (555 words) - 20:59, 10 September 2024
• 2013 AMC 10B Problems/Problem 15
  ...hexagon can be broken into 6 small equilateral triangles, each of which is similar to the big equilateral triangle. The big triangle's area is 6 times the are [[Category:Introductory Geometry Problems]]
  2 KB (240 words) - 12:18, 18 October 2022
• 2013 AMC 10B Problems/Problem 16
  .../math>. Also, because <math>DE || AC</math>, <math>\triangle ABC</math> is similar to <math>\triangle{DBE}</math> with side length ratio <math>2:1</math>, so [[Category:Introductory Geometry Problems]]
  5 KB (761 words) - 19:33, 11 January 2024
• 2013 AMC 12B Problems/Problem 13
  ...rithmetic progression. Triangles <math>ABD</math> and <math>DCB</math> are similar with <math>\angle DBA = \angle DCB</math> and <math>\angle ADB = \angle CBD For the sake of simplicity, lets rename the angles of each similar triangle. Let <math>\angle ADB = \angle CBD = \alpha</math>, <math>\angle D
  3 KB (443 words) - 12:32, 8 January 2021
• 2013 AMC 12B Problems/Problem 19
  [[Category: Introductory Geometry Problems]] ...}=\angle{ABF}</math>, so <math>\triangle ABF \sim \triangle ADE</math> are similar. In addition, <math>\triangle ADE \sim \triangle ACD</math>. We can easily
  8 KB (1,299 words) - 20:13, 15 September 2024
• 2013 AMC 12B Problems/Problem 24
  Furthermore, triangle <math>BCN</math> is similar to triangle <math>MCX</math>, so <math>BC/CM=CN/CX</math>, therefore <math> ...e have more similar triangles. In fact, going back to our original pair of similar triangles - <math>\triangle ANC</math> and <math>\triangle BXC</math> - giv
  11 KB (1,876 words) - 00:08, 12 October 2023
• 2013 AIME I Problems/Problem 7
  ...f the cube. It is easy to notice that the triangle given by the problem is similar to the triangle <math>BCD</math> by a ratio of <math>1:2</math>. Thus <math [[Category:Intermediate Geometry Problems]]
  8 KB (1,324 words) - 11:26, 22 July 2024
• 1989 AHSME Problems/Problem 7
  ...can see that <math>\triangle ACH</math> and <math>\triangle MCN</math> are similar, implying <math>\overline{HN}=\overline{NC}</math>, implying that <math>\tr [[Category: Introductory Geometry Problems]]
  2 KB (221 words) - 18:04, 21 October 2018
• 2014 AIME II Problems/Problem 11
  Let <math>MN = x.</math> Meanwhile, since <math>\triangle R PM</math> is similar to <math>\triangle RCD</math> (angle, side, and side- <math>RP</math> and < [[Category:Intermediate Geometry Problems]]
  6 KB (1,059 words) - 18:24, 20 January 2024
• 1967 AHSME Problems/Problem 20
  Now we note that the picture is self-similar; if we erase the outer square, erase the outer circle, rotate the picture, [[Category:Introductory Geometry Problems]]
  2 KB (390 words) - 01:40, 16 August 2023
• Geometry Solutions
  ==Geometry Explained== This page is meant for explaining the most difficult problems in the geometry packet.
  23 KB (3,182 words) - 12:30, 5 April 2014
• 1967 AHSME Problems/Problem 15
  The difference in the areas of two similar triangles is <math>18</math> square feet, and the ratio of the larger area [[Category:Introductory Geometry Problems]]
  1 KB (231 words) - 01:39, 16 August 2023
• 1967 IMO Problems/Problem 4
  ...o acute-angled triangles. Consider all triangles <math>ABC</math> that are similar to <math>\triangle A_1B_1C_1</math> (so that vertices <math>A_1</math>, <ma ...the triangles <math>ABC</math> circumscribed to <math>A_0B_0C_0</math> and similar to <math>A_1B_1C_1</math> by selecting <math>A</math> on <math>\mathcal C_A
  9 KB (1,689 words) - 02:54, 4 September 2024
• 1962 AHSME Problems/Problem 16
  ...inches. Rectangle <math>R_2</math> with diagonal <math>15</math> inches is similar to <math>R_1</math>. Expressed in square inches the area of <math>R_2</math ...know that <math>\frac{b}a=\frac31=3</math>, because the two rectangles are similar. We also know that <math>a^2+b^2=15^2=225</math>. But <math>b=3a</math>, so
  1 KB (170 words) - 22:16, 3 October 2014
• 2014 AMC 10A Problems/Problem 12
  [[Category: Introductory Geometry Problems]] This solution is very similar to the one above, but instead we use the solutions to guide us. The interio
  3 KB (482 words) - 11:50, 7 September 2021
• 2014 AMC 10A Problems/Problem 14
  [[Category: Introductory Geometry Problems]] ==Solution 6 (Geometry only)==
  8 KB (1,234 words) - 21:58, 3 August 2024
• 2014 AMC 10A Problems/Problem 16
  [[Category: Introductory Geometry Problems]] ...eight of <math>AFB</math>. Since <math>XHY</math> and <math>DHC</math> are similar for the same reasons as <math>XFY</math> and <math>AFB</math>, the height o
  9 KB (1,411 words) - 19:51, 25 July 2023
• 2014 AMC 10A Problems/Problem 19
  [[Category: Introductory Geometry Problems]] ...t is inside the cube with side length <math>3</math> be <math>x</math>. By similar triangles, <math>\dfrac{x}{3}=\dfrac{2\sqrt{33}}{10}</math>, giving <math>x
  3 KB (377 words) - 21:23, 28 October 2023
• 2014 AMC 10A Problems/Problem 22
  [[Category: Introductory Geometry Problems]] ==Solution 6 (Pure Euclidian Geometry)==
  13 KB (1,983 words) - 12:39, 7 June 2024
• 1963 AHSME Problems/Problem 18
  ...y selection of <math>U</math>, as described, <math>\triangle EUM</math> is similar to: ...A</math>. This leads to prediction that <math>\triangle FEA</math> is the similar triangle as it shares an angle, and to prove this, we need to show that <ma
  2 KB (410 words) - 21:18, 31 May 2020

View (previous 20 | next 20) (20 | 50 | 100 | 250 | 500)