verify the different criterion for congruence of triangles
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Answer:
Theorem 1: If two angles and the included side of one triangle are equal to two angles and the included side of other triangle, then both triangles are congruent. ∠ABC = ∠DEF, ∠ACB = ∠DFE and BC = EF. To Prove: ∆ABC ≅ ∆DEF.
Answer:
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Step-by-step explanation:
if under given correspondence with 3 sides of one triangle are equal to the three corresponding sides of another triangle then the triangles are said to be congruent by SSS criteria side side side criteria 1st pic. say sss criteria
if under a correspondence two sides and the angle included between them of a triangle are equal to two corresponding sides and angle included between them of another triangle then the triangles are said to be congruent by a congruence criterion referenced side angle side correspondence 2nd pic says ASA criteria in fig. 7.20 two sides are equal and an angle between them is equal
if under a correspondence two angles and the included side of triangle are equal to two corresponding angles and the included side of another triangle then the triangle are said to be congruent under ASA refering Angle side angle criteria . 3rd pic. says ASA criteria . Here , two angles are equal and a side between both angles is equal
if under a correspondence the hypotenuse and one side of the right angled triangle are respectively equal to the hypotenuse and one side up another right angled triangle then the triangle acid to be congruent and under RHS congruency rule referring Right angle - Hypotenuse and one side equal 4th pic tells RHS congruency rule . where one side , hypotenuse and right angle is equal .
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