Euclidean geometry Grade 12 Questions and Answers:Euclidean geometry is a mathematical system attributed to Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements. Euclid’s method consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions from these.

Types of triangles 

Scalene009059e85d03a14b0535ccbe43991bb0.pngAll sides and angles are different.
Isosceles4e56e4dc5efd0035fdbf310a383e261f.pngTwo sides are equal in length. The angles opposite the equal sides are also equal.
Equilateralcf875f8ae40ec9cb7d532401b0e9383a.pngAll three sides are equal in length and all three angles are equal.
Acute-angledcc9650766b7bf6798ac6a86ea8cd3cb4.pngEach of the three interior angles is less than 9090°.
Obtuse-angled501a63891137afb1e0ba73111f218a87.pngOne interior angle is greater than 9090°.
Right-angledd3102e4ac20d4af698e91bd839b26039.pngOne interior angle is 9090°.

Congruent triangles (EMCJ2)

SSS(side, side, side)f175ae28c9bd1cb3bc8485ef9e02b3a3.png△ABC≡△EDF△ABC≡△EDF
SAS(side, incl. angle, side)fc00adae9adde821c7ef8f0586c22565.png△GHI≡△JKL△GHI≡△JKL
AAS(angle, angle, side)e3bba55b97ce1cdd09da7470c4a9b372.png△MNO≡△PQR△MNO≡△PQR
RHS(9090°, hypotenuse, side)a68c788e132a1ef6a85e83640bdf9a22.png△STU≡△VWX△STU≡△VWX


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