Question

QUESTION IS BELOW!

Answer 1

Triangle DEF has vertices D(3, 2), E(4, 5), and F(2, 3), Triangle DEF is transformed to Triangle D’’E’’F’’ by a rotation of Triangle DEF 90 degrees clockwise about the origin followed by a reflection across the x-axis.

Find the coordinates of the vertices of triangle D’’E’’F’’ and state whether or not the two triangles are congruent. Justify your answer.





A.
The coordinates of Triangle D’’E’’F’’ are D’’ (-3, 2), E’’ (-4, 5), and F’’ (-2, 3). Triangle DEF is congruent to triangle D’’E’’F’’ because both rotation and reflections are congruence transformations.




B.
The coordinates of Triangle D’’E’’F’’ are D’’ (-2, -3), E’’ (-5, -4), and F’’ (-3, -2). Triangle DEF is similar to triangle D’’E’’F’’ because reflection is a similarity transformation.




C.
The coordinates of Triangle D’’E’’F’’ are D’’ (2,-3), E’’ 5,-4), and F’’ (3,-2). Triangle DEF is congruent to triangle D’’E’’F’’ because both rotation and reflections are congruence transformations.




D.
The coordinates of Triangle D’’E’’F’’ are D’’ (-3, 2), E’’ (-4, 5), and F’’ (-2, 3). Triangle DEF is similar to triangle D’’E’’F’’ because reflection is a similarity transformation.

Answer 2

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