What set of transformations could be applied to rectangle ABCD to create A'B'C'D'?
2 answers:
Answer:
Reflection over the y-axis and rotation of 180°
Step-by-step explanation:
We have,
Rectangle ABCD with co-ordinates A(-4,2), B(-4,1), C(-1,1) and D(-1,2).
It is transformed to a new rectangle A'B'C'D' with co-ordinates A'(-4,-2), B'(-4,-1), C'(-1,-1) and D'(-1,-2).
The graph of both the triangles is shown below.
We see that,
The rectangle ABCD is reflected about y-axis and then rotated 180° to obtain A'B'C'D'.
Reflected about y-axis Rotation of 180°
A= (-4,2) (4,2) A'= (-4,-2)
B= (-4,1) (4,1) B'= (-4,-1)
C= (-1,1) (1,1) C'= (-1,-1)
D= (-1,2) (1,2) D'= (-1,-2)
Hence, the second rectangle is formed by: Reflection over the y-axis and rotation of 180°.
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