{"id":2877,"date":"2020-12-11T04:29:20","date_gmt":"2020-12-10T22:59:20","guid":{"rendered":"https:\/\/cbselibrary.com\/?p=2877"},"modified":"2020-12-11T16:55:13","modified_gmt":"2020-12-11T11:25:13","slug":"congruent-triangles","status":"publish","type":"post","link":"https:\/\/cbselibrary.com\/congruent-triangles\/","title":{"rendered":"How Do You Prove Triangles Are Congruent"},"content":{"rendered":"

How Do You Prove Triangles Are Congruent<\/a><\/strong><\/h2>\n

https:\/\/www.youtube.com\/watch?v=GmS-p1S_t5E<\/p>\n

Congruent Figures<\/strong><\/h3>\n

Two figures\/objects are said to be congruent if they are exactly of the same shape and size. The relationship between two congruent figures is called congruence. We use the symbol \u2245 for ‘congruent to’.<\/p>\n

    \n
  1. Congruence among line segments:<\/strong> Two line segments are congruent if they have the same length.
    \n\"How
    \nThus, line segment PQ \u2245\u00a0line segment RS as PQ = RS = 6 cm.<\/li>\n
  2. Congruence of Angles:<\/strong> Two angles are congruent if they have the same measure.
    \n\"How
    \nThus, \u2220AO’B \u2245 \u2220QOP,
    \nas m \u2220AO’B = m \u2220QOP = 40\u00b0.<\/li>\n
  3. Congruence of plane figures:<\/strong> Two plane figures A and B are congruent as they superpose each other. We can write it as figure A \u2245\u00a0figure B.
    \n\"How<\/li>\n
  4. Congruence of squares:<\/strong> Two squares are congruent if they have same side length.
    \n\"How
    \nSquare PQRS \u2245 Square XYZT as PQ = XY.<\/li>\n
  5. Congruence of rectangles:<\/strong> Two rectangles are said to be congruent if they have the same length and breadth.
    \n\"How
    \nRectangle ABCD \u2245\u00a0Rectangle PQRS as
    \nAB = PQ and BC = QR.<\/li>\n
  6. Congruence of circles:<\/strong> Two circles are congruent if they have the same radius.
    \n\"How
    \nCircle A \u2245\u00a0Circle B, as radius of A = radius of B = 2 cm.<\/li>\n<\/ol>\n