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Named after Greek astronomer Apollonius of Perga, the Apollonius Theorem is used to calculate the length of a median of a triangle, provided we know the length of its sides. Here, in triangle ABC: a = Length of side opposite vertex A. b = Length of side opposite vertex B. c = Length of side opposite vertex C.

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Sep 30, 2019 · Each of the diagonals of a parallelogram divides it into two congruent triangles, as we saw when we proved properties like that the opposite sides are equal to each other or that the two pairs of opposite angles are congruent. Since those two triangles are congruent, their areas are equal.

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Side-Side-Side (SSS) Rule. Side-Side-Side is a rule used to prove whether a given set of triangles are congruent.. The SSS rule states that: If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.. In the diagrams below, if AB = RP, BC = PQ and CA = QR, then triangle ABC is congruent to triangle RPQ.. Side-Angle-Side (SAS) Rule

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This Congruent Triangles: Lesson Video is suitable for 9th - 12th Grade. Given two congruent triangles, the resource provides the definition of congruent triangles and marks the corresponding parts. The portion of a basic geometry playlist shows the triangles are congruent by moving one on top of the other and briefly talks about similarity.

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Congruent triangles: SSS, SAS and ASA (8-O.14) ACMMG200.b establishing that two figures are congruent if one shape lies exactly on top of the other after one or more transformations (translation, reflection, rotation), and recognising that the matching sides and the matching angles are equal. Congruence statements and corresponding parts (8-O.13)

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Congruent triangles: SSS, SAS and ASA (8-O.14) ACMMG200.b establishing that two figures are congruent if one shape lies exactly on top of the other after one or more transformations (translation, reflection, rotation), and recognising that the matching sides and the matching angles are equal. Congruence statements and corresponding parts (8-O.13)