WHEN TWO TRIANGLES ARE THE SAME SIZE AND SHAPE, THEY ARE CONGRUENT. IF WE HAVE INFORMATION THAT PRODUCES A UNIQUE TRIANGLE, WE CAN CHECK.

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WHEN TWO TRIANGLES ARE THE SAME SIZE AND SHAPE, THEY ARE CONGRUENT. IF WE HAVE INFORMATION THAT PRODUCES A UNIQUE TRIANGLE, WE CAN CHECK TO SEE IF IT IS CONGRUENT TO ANOTHER. CHECK THE TWO WORKSHEETS FROM THE LAST TWO LESSONS.

THE MINIMUM AMOUNT OF INFORMATION NEEDED IS EITHER: THREE EDGES ONE EDGE AND TWO ANGLES TWO EDGES AND ONE ANGLE (IN SPECIAL CASES)

WITH THIS INFORMATION WE CAN CHECK WHETHER TWO TRIANGLES ARE CONGRUENT: THREE EDGES 5cm4cm 2cm 5cm4cm 2cm (SSS) ONE EDGE AND TWO ANGLES 4cm 80 o 60 o 80 o 60 o (AAcorS)

ONE EDGE AND TWO ANGLES 4cm 80 o 60 o 80 o 60 o (AAcorS) THIS MEANS “TWO ANGLES AND A CORRESPONDING SIDE”. THE ANGLES MUST BE IN THE SAME PLACE IN RELATION TO THE SIDE. NOTE: THESE ARE NOT CONGRUENT… 4cm 80 o 60 o 80 o 60 o

WITH THIS INFORMATION WE CAN CHECK WHETHER TWO TRIANGLES ARE CONGRUENT: TWO EDGES WITH AN ANGLE BETWEEN THEM 5cm4cm 40 o 5cm4cm 40 o (SAS) THE HYPOTENUSE AND ANY OTHER CORRESPONDING SIDE 5cm 3cm (RHS)

RHS MEANS “RIGHT HYPOTENUSE SIDE” BUT REALLY THIS RULE WORKS FOR ANY TWO SIDES ON A RIGHT-ANGLED TRIANGLE. THE HYPOTENUSE AND ANY OTHER SIDE 5cm 3cm (RHS) NOTE: HYPOTENUSE IS THE LONGEST EDGE. NOTE: THESE ARE ALSO CONGRUENT BY SAS. 4cm 3cm