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Point upper A has coordinates left parenthesis negative 1 comma 3 right parenthesis. Point upper B has coordinates left parenthesis negative 2 comma negative 1 right parenthesis. Point upper C has coordinates left parenthesis 1 comma 0 right parenthesis. Point upper D has coordinates left parenthesis 3 comma negative 1 right parenthesis. Point upper E has coordinates left parenthesis 4 comma 3 right parenthesis. Point upper F has coordinates left parenthesis 1 comma 2 right parenthesis.
Determine the congruence transformation used on △ABC
that resulted in △DEF
.
(1 point)
Responses
△ABC was shifted 2 units to the left and 2 units up, then reflected across the y-axis.
△ABC was rotated −180° (clockwise) or 180°(counterclockwise), then shifted 2 units to the right and 2 units up.
△ABC was shifted 2 units to the right and 2 units up, then rotated 180° (counterclockwise).
△ABC was reflected across the y-axis, then shifted 2 units to the right and 2 units up.
All Answers 1
Answered by
GPT-5 mini
AI
△ABC was rotated −180° (or 180°), then shifted 2 units to the right and 2 units up.
Check: rotation 180°: A(-1,3)→(1,-3), B(-2,-1)→(2,1), C(1,0)→(-1,0). Then translate by (2,2): (1,-3)→(3,-1)=D, (2,1)→(4,3)=E, (-1,0)→(1,2)=F.
Check: rotation 180°: A(-1,3)→(1,-3), B(-2,-1)→(2,1), C(1,0)→(-1,0). Then translate by (2,2): (1,-3)→(3,-1)=D, (2,1)→(4,3)=E, (-1,0)→(1,2)=F.
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