Sketch the image quadrilateral A'B'C'D' under a translation (x, y) --> (x + 5, y - 3)
Question 18
18.
Sketch the image quadrilateral A'B'C'D' under a reflection across the line y = x
Question 19
19.
Sketch the image quadrilateral A'B'C'D' under a 180° counter-clockwise rotation about the origin.
Question 20
20.
Sketch the image quadrilateral A'B'C'D' under a dilation of magnitude 2.
A change in position, size, or shape of a figure on a coordinate plane.
Dilation
Reflections
Rotation
Transformation
Translation
A type of transformation that results in the enlargement or reduction of an image.
Dilation
Reflections
Rotation
Transformation
Translation
A type of transformation involving a slide of the graphed figure.
Dilation
Reflections
Rotation
Transformation
Translation
A type of transformation involving a flip of the graphed figure.
Dilation
Reflections
Rotation
Transformation
Translation
A type of transformation in which a figure is turned about a fixed point a certain number of degrees.
Dilation
Reflections
Rotation
Transformation
Translation
A figure is translated 3 units to the right and down 2 units. Select the algebraic expression that shows how the translation affects the coordinates of the preimage.
(x + 3, -y + 2)
(x + 3, y - 2)
(x - 2, y + 3)
(3x, -2y)
Which of the figures below shows the translation described by the rule (x, y) --> (x + 4, y + 4)
A
B
C
D
∆ABC is reflected over the y-axis to create ∆A'B'C'. What algebraic representation explains the effect of this reflection?
(x, y) --> (-x, -y)
(x, y) --> (-x, y)
(x, y) --> (x, y)
(x, y) --> (x, -y)
∆ABC is reflected over the x-axis to create ∆A'B'C'. What algebraic representation will be applied to complete this transformation?
(x, y) --> (-x, y)
(x, y) --> (-y, x)
(x, y) --> (y, -x)
(x, y) --> (x, -y)
Quadrilateral KLMN has vertices: K(3, -2) L(6, -3) M(8, -6) and N(5, -5). The figure is rotated 90° clockwise about the origin. What are the coordinates of M'?
M'(8, -6)
M'(-6, 8)
M'(-6, -8)
M'(-8, 6)
Rectangle WXYZ has vertices: W(-2, -3) X(-2, 1) Y(4, 1) and Z(4, -3). The figure is rotated 90° counter-clockwise about the origin. What are the coordinates of Z'?
Z'(4, -3)
Z'(4, 3)
Z'(-3, 4)
Z'(3, 4)
Given the transformation below, which of the following transformation rules represents the transformation from square PQRS to square P'Q'R'S'?
(x, y) --> (-x, y)
(x, y) --> (y, -x)
(x, y) --> (-y, x)
(x, y) --> (x + 4, y)
Which transformation does NOT produce congruent figures?
Reflection across the line y = x
Translation left four units and up six units
Dilation with a scale factor of 0.5
Rotation of 180° clockwise
Which transformation does NOT produce congruent figures?
(x, y) --> (-x, y)
(x, y) --> (x - 2, y - 1)
(x, y) --> (y, x)
(x, y) --> (2x, 2y)
Rectangle ABCD has vertices: A(0, -2) B(0, 1) C(4, 1) and D(4, -2). After a transformation is applied to the rectangle, it's image has vertices: A'(2, 0), B'(-1, 0), C'(-1, 4) and D'(2, 4). Which of the following transformations was applied to the rectangle?
Reflection across the line y = -x
Reflection across the y-axis
90° clockwise rotation about the origin
270° clockwise rotation about the origin
Which of the following transformations was applied to ∆ABC to create ∆A'B'C'?