TRIANGLE CONGRUENCE p q r a b c LESSON 16
EXPLORING CONGRUENT TRIANGLES Definition of Congruent Figures are two figures that are identical is size and shape ex: a b c p q r
Congruence The congruence symbol ““ has a different meaning than the equal symbol “=“. Congruent triangles have 3 pairs of angles and 3 pairs of sides.
CONGRUENT POSTULATES: SSS Side-Side-Side (SSS) Postulate: If all three pairs of corresponding sides of two triangles are equal, the two triangles are congruent. If you know: then you know: and you know: AB = DE BC = EF AC = DF A = D B = E C = F
CONGRUENT POSTULATES: SSS Side-Side-Side (SSS) Postulate: If you know: then you know: and you know: AB = DE BC = EF AC = DF A = D B = E C = F
CONGRUENT POSTULATES: SAS Side-Angle-Side (SAS) Postulate: If two pairs of corresponding sides and the corresponding contained angles of two triangles are equal, the two triangles are congruent. If you know: then you know: and you know: AB = DE B = E AC = DF A = D BC = EF C = F
CONGRUENT POSTULATES: SAS Side-Angle-Side (SAS) Postulate: A = D BC = EF C = F AB = DE B = E AC = DF
CONGRUENT POSTULATES: ASA Angle-Side-Angle (ASA) Postulate: If two angles and the contained side of one triangle are equal to two angles and the contained side of another triangle, the two triangles are congruent. If you know: then you know: and you know: A = D B = E AB = DE AC = DF C = F BC = EF
CONGRUENT POSTULATES: ASA Angle-Side-Angle (ASA) Postulate: A = D B = E AB = DE AC = DF C = F BC = EF
CONGRUENT POSTULATES: RHS Right angle - Hypotenuse-Side (RHS) Postulate: If the hypotenuse and another side of one right triangle are equal to the hypotenuse and one side of a second right triangle, the two triangles are congruent. If you know: then you know: and you know: A = D = 90o BC = EF AC = DF B = E C = F AB = DE
CONGRUENT POSTULATES: RHS Right angle - Hypotenuse-Side (RHS) Postulate: A = D = 90o BC = EF AC = DF B = E C = F AB = DE
CLASS WORK Do Questions 3,4,5,6,7,8,10, 11 pg. 202-203 from MOM text. Quiz in 6 days