What are the coordinates of vertex A of square ABCD
A(-1,-6)
B(-1,-2)
C(-1,6)
D(-2,1)

The given points on the final image A''B''C''D'', and the transformation gives;
The coordinates of the vertex A of square ABCD is the option;
D. A(-2, 1)
From the figure, we have;
A''(-5, -3), B''(-3, -1), C''(-1, -3), D''(-3, -5)
The given transformation is presented as follows;
[tex] T_{ (- 4 , \: - 1)} \circ \:R_ {( O , \: 90^{ \circ} )}[/tex]
The formula for a rotation of 90° about the origin is presented as follows;
Therefore;
Therefore;
A''(-5, -3) → A'(-5 + 4, -3 + 1) = A'(-1, -2)
B''(-3, -1) → B'(-3 + 4, -1 + 1) = B'(1, 0)
C''(-1, -3) → C'(-1 + 4, -3 + 1) = C'(3, -2)
D''(-3, -5) → D'(-3 + 4, -5 + 1) = D'(1, -4)
The coordinates of the vertex A of square ABCD is therefore;
D. A(-2, 1)
Learn more about rigid transformations here:
https://brainly.com/question/1801406
#SPJ1
Square A"B"C"D" has vertex A" at (-5, -3), the coordinates of vertex A before the transformation is A(-2, 1)
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Rigid transformation is a transformation that preserves the shape and size of a figure such as translation, reflection and rotation.
Square A"B"C"D" has vertex A" at (-5, -3), the coordinates of vertex A before the transformation is A(-2, 1)
Find out more on transformation at: https://brainly.com/question/4289712
#SPJ1