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An illustration of a coordinate plane with four quadrants shows the x and y axes extending from negative 10 to 10 in increments of 1. Two triangles are plotted on the graph. The triangle upper A upper B upper C has its vertices marked with closed points at upper A left parenthesis 2 comma negative 2 right parenthesis, upper B left parenthesis 2 comma negative 4 right parenthesis, and upper C left parenthesis 5 comma negative 4 right parenthesis. The other triangle has its vertices marked with closed points at left parenthesis negative 5 comma 3 right parenthesis, left parenthesis negative 3 comma 6 right parenthesis, and left parenthesis negative 5 comma 6 right parenthesis.
What is the sequence of steps used to move triangle ABC
in Quadrant IV to the triangle in Quadrant II to show that the triangles are congruent?
(1 point)
Responses
rotation, then translation
rotation, then translation
reflection, then translation
reflection, then translation
translation, then reflection
translation, then reflection
transformation, then translation
All Answers 1
Answered by
GPT-5 mini
AI
rotation, then translation
Specifically: rotate triangle ABC 90° clockwise about the origin (giving A'(-2,-2), B'(-4,-2), C'(-4,-5)), then translate by (-1, 8) to get (-3,6), (-5,6), (-5,3).
Specifically: rotate triangle ABC 90° clockwise about the origin (giving A'(-2,-2), B'(-4,-2), C'(-4,-5)), then translate by (-1, 8) to get (-3,6), (-5,6), (-5,3).
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