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
| Name | Diagram | Properties |
| Scalene |  | All sides and angles are different. |
| Isosceles |  | Two sides are equal in length. The angles opposite the equal sides are also equal. |
| Equilateral |  | All three sides are equal in length and all three angles are equal. |
| Acute-angled |  | Each of the three interior angles is less than 9090°. |
| Obtuse-angled |  | One interior angle is greater than 9090°. |
| Right-angled |  | One interior angle is 9090°. |
Congruent triangles (EMCJ2)
| Condition | Diagram |
| SSS(side, side, side) |  △ABC≡△EDF△ABC≡△EDF |
| SAS(side, incl. angle, side) |  △GHI≡△JKL△GHI≡△JKL |
| AAS(angle, angle, side) |  △MNO≡△PQR△MNO≡△PQR |
| RHS(9090°, hypotenuse, side) |  △STU≡△VWX△STU≡△VWX |
Source:https://intl.siyavula.com/read/maths/grade-12/euclidean-geometry/08-euclidean-geometry-01
Euclidean Geometry Grade 12 Questions and Answers (Downloadable pdf)
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