MATH II Name: ___________________Date: ____________ Period___Classs____ Transformational Geometry Note Sheet A is a change in the __________, _______________, or ______________ of a figure. transformation A is a transformation which ____________ each point of a figure the same ____________ and in the same translation ________________. The resulting figure after a transformation is called the ___________ of the original figure. EXAMPLE 1: is translated 1 unit right and 4 units up. Draw the image ΔABC ΔA’B’C’. What are the coordinates of: (1, -3) _________ A A’ (3, 0) _________ B B’ (4, -2) C C’__________ From EXAMPLE 1, ΔABC ΔA’B’C’ As a general rule this translation could be written as (x, (x + ___, + ___ ). y) y EXAMPLE 2 has coordinates (0,2), (3,4), and (5,1). J K L ΔJKL a) Draw b) Draw the image after a translation of 4 units to the left and 5 units ΔJKL. ΔJ’K’L’ up. Label the triangle.What are the coordinates of: (0, 2) _________ J J’ (3, 4) _________ K K’ (5, 1) L L’__________ Rule: (x, ( , ) y) Tell me more about this figure, is it congruent or similar? Explain how you know. Translation Location Add Subtract coordinate x coordinate y
MATH II Name: ___________________Date: ____________ Period___Classs____ Transformational Geometry Note Sheet A transformation is a change in the __________, _______________, or ______________ of a figure. A translation is a transformation which ____________ each point of a figure the same ____________ and in the same ________________. The resulting figure after a transformation is called the ___________ of the original figure. EXAMPLE 1: ΔABC is translated 1 unit right and 4 units up. Draw the image ΔA’B’C’. What are the coordinates of: A (1, -3) A’ _________ B (3, 0) B’ _________ C (4, -2) C’__________ From EXAMPLE 1, ΔABC ΔA’B’C’ As a general rule this translation could be written as (x, y) (x + ___, y + ___ ). EXAMPLE 2 ΔJKL has coordinates J (0,2), K (3,4), and L (5,1). a) Draw ΔJKL. b) Draw the image ΔJ’K’L’ after a translation of 4 units to the left and 5 units up. Label the triangle.What are the coordinates of: J (0, 2) J’ _________ K (3, 4) K’ _________ L (5, 1) L’__________ Rule: (x, y) ( , ) Tell me more about this figure, is it congruent or similar? Explain how you know. Add Subtract x coordinate y coordinate Translation Location
Translations%20notes.docx