Coordinate Plane Transformations

Describe the transformation that took place from triangle ABC to triangle A'B'C'.

• A reflections over the x axis.

  (x, y) --> (x, -y)

• A reflection over the x axis.

  (x, y) --> (-x, y)

• A reflection over the y axis.

  (x, y) --> (x, -y)

• A reflection over the y axis.

  (x, y) --> (-x, y)

Triangle JKL is rotated 90^o clockwise about the origin to for Triangle J'K'L'. Which statement is true?

• The sum of the angle measures of Triangle JKL is 90^o less than the sum of the angle measures of Triangle J'K'L'.

• Triangle JKL is not congruent to Triangle J'K'L'.

• The area of Triangle JKL is more than the area of Triangle J'K'L'.

• The angle measures of Triangle JKL are equal to the corresponding angle measures of Triangle J'K'L'.

Triangle PQR is dilated by a scale factor of 1/2 to form Triangle P'Q'R'. What will be the coordinate of R'?

• (-6.5, 5.5)

• (-3, 2.5)

• (-12, 10)

• (-5.5, 4.5)

The triangle is rotated 180^o clockwise with the origin as the center of rotation to create a new triangle. Which algebraic representation describes this transformation.

• (x, y) --> (x, -y)

• (x, y) --> (-y, -x)

• (x, y) --> (-x , y)

• (x, y) --> (-x, -y)

Rectangle ABCD has vertices

A(2, 4), B(6, 4), C(6,1), D(2,1). Which algebraic representation shows a reflection over the y-axis?

• (x, y) --> (x, -y)

• (x, y) --> ( -x, y)

• (x, y) --> (-y, -x)

• (x, y) --> (y, -x)

Trapezoid ABCD was translated 3 units left and 5 units down. Which algebraic representation describes the translation that was applied to Trapezoid ABCD to create Trapezoid A'B'C'D'.

• (x, y) --> (x - 3, y - 5)

• (x, y) --> (x + 3, y - 5)

• (x, y) --> (x + 5, y - 3)

• (x, y) --> (x - 5, y - 3)

A figure is transformed according to the rule

 (x, y) --> (x -3, y + 2).   Which statement is true?

• The side lengths of the of the new image will be twice the side lengths of the original.

• The angle measures of the new figure will be greater than the angle measures of the original.

• The side lengths of the new figure will be 3 units longer than the side lengths of the original.

• The angle measures of the new figure will be equal to the angle measures of the original.

Which of the following transformations will produce a congruent figure.

I. Rotation

II. Translation

III. Reflection

IV. Dilation

• I and II only

• I, II, III, and IV

• I, II, and III only

• IV only

The circle C is reflected over the x axis. Which of the following transformations would also have moved circle C to the same location?

• Translation 6 units down.

• Rotation 360^o about the origin.

• Translation 6 units right.

• Rotation 180^o about the origin.

What transformation took place in the image above?

• Reflection over the y axis.

• Reflection over the x axis.

• 90^o counter clockwise rotation about the origin.

• 90^o clockwise rotation about the origin.