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Week 4. Warm Up. 11.07.11. Tell whether each statement is needed to show congruence:. 1) The figures must have the same size. 2) The figures must be polygons. 3) The figures must have the same shape. Postulate 19. R. N. S. P. M. Q. ≅. ≅. ≅. ∆MNP ≅ ∆QRS because of SSS. Ex 1.
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Week 4 Warm Up 11.07.11 Tell whether each statement is needed to show congruence: 1) The figures must have the same size. 2) The figures must be polygons. 3) The figures must have the same shape.
Postulate 19 R N S P M Q ≅ ≅ ≅ ∆MNP ≅ ∆QRS because of SSS.
Ex 1 Prove ∆PQW ≅ ∆TSW: T P W S Q , , ≅ ≅ ≅ because they are given. ∆PQW ≅ ∆TSW because of SSS.
Postulate 20 X Q ∠Q ≅∠X ≅ ≅ W Y S P ∆PQS ≅ ∆WXY because of SAS.
Ex 2 Prove ∆ABE ≅ ∆DCE: B C 1 2 E ≅ ≅ D A , Given ∠1 ≅∠2 Vertical Angle Theorem ∆AEB ≅ ∆DEC SAS Congruence Postulate
S Ex 3 Prove ∆PQR ≅ ∆PSR: Q P R ≅ they are given. 2) ≅ 1) ≅ because of the reflexive property of congruence. because of SSS. 3) ∆PQR ≅ ∆PSR
Do: 1 Is ∆PQR ≅ ∆SRQ? Give 3 congruency statement to prove it? P Q R S Assignment: Textbook Page 216, 3 - 17 all.