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Geometry

If two sides of a triangle are equal, then the angles opposite the equal sides are also equal

General enunciation: If two triangles have two sides of the one equal to two sides of the other, each to each, the angles included by those sides are also equal then the triangles are equal in all respect. Particular Enunciation: Let, ∆ABC and ∆DEF be two triangles in which AB=DE, ...

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If three sides of a triangle are respectively equal to the corresponding three sides of another triangle, then the triangle are congruent.

General enunciation: If three sides of a triangle are respectively equal to the corresponding three sides of another triangle, then the triangle are congruent.   Particular enunciation:  Let, in ∆ABC and ∆DEF, AB = PQ, AC = PR and BC = QR. It is required to prove that, ∆ABC ≌ ...

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The straight lines which are parallel to the same straight line are parallel to one another.

Theorem: If a straight line intersects another two straight lines and if the corresponding angles are equal to each other. General enunciation: If a straight line intersects another two straight lines and if the corresponding angles are equal to each other. Particular enunciation: Let the straight line PQ intersects AB ...

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