Geometry 6.3 & 6.4 Prove Triangles are Similar by AA, SAS, SSS · 2015-06-29 · 11. ! Cut this and...
Transcript of Geometry 6.3 & 6.4 Prove Triangles are Similar by AA, SAS, SSS · 2015-06-29 · 11. ! Cut this and...
11.
Cut this and place it on the left hand-side of your INB.
SIDE-SIDE-SIDE (SSS) SIMLARITY POSTULATE: If the corresponding side lengths of two triangles are proportional then the triangles are similar.
If ,
then ΔABC ~ ΔRST.
SIDE-ANGLE-SIDE (SAS) SIMLARITY POSTULATE: If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides including these angles are ___________________, then the triangles are similar.
If ∠X ≅ ∠M and
, then ΔXYZ ∼
ΔMNP.
Triangle Similarity Postulate and Theorems:
AA Similarity Postulate: If ∠A ≅ ∠D and ∠B ≅ ∠E, then ΔABC ~ ΔDEF. (If 2 angles of 1 triangle = 2 angles of another triangle they are similar)
SSS Similarity Theorem: If , then ΔABC ~ ΔDEF.
(If all sides of 1 triangle are proportional to all sides of another triangle they are similar)
SAS Similarity Theorem: If ∠A ≅ ∠D and , then ΔABC ∼ ΔDEF.
(If all 2sides of 1 triangle proportional to 2 sides of another triangle and the included angles are = then the triangles are similar
ANGLE –ANGLE (AA) SIMLARITY POSTULATE: ∆JKL ~ ∆XYZ If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.