Transformations

Transformations

4 types of Transformation

• Translation

• Reflection

• Rotation

• Dilation

Multiple Choice

What type of transformation is displayed?

• Translation

• Reflection

• Rotation

• Dilation

Multiple Choice

What type of transformation is displayed?

• Translation

• Reflection

• Rotation

• Dilation

Multiple Choice

What type of transformation is displayed?

• Translation

• Reflection

• Rotation

• Dilation

Multiple Choice

What type of transformation is displayed?

• Translation

• Reflection

• Rotation

• Dilation

Multiple Choice

What type of transformation is displayed?

• Translation

• Reflection

• Rotation

• Dilation

Translations

To SLIDE each point of a figure the same distance and direction

Does not change size or shape

Translation Rules

• Sliding Right --> affects x-axis (x + #)

• Sliding Left --> affects x-axis (x - #)

• Sliding Up --> affects y-axis (y + #)

• Sliding Down --> affects y-axis (y - #)

Multiple Choice

What is the rule for this translation?

• (x, y) --> (x - 8, y)

• (x, y) --> (x +8, y)

• (x, y) --> (x, y - 8)

• (x, y) --> (x, y + 8)

Multiple Choice

Triangle ABC was transformed to create triangle A'B'C'. Which rule best describes this transformation?

• (x, y) --> (x, y - 7)

• (x, y) --> (x, -y)

• (x, y) --> (x - 7, y)

• (x, y) --> (-x, y)

Multiple Choice

Triangle ABC was translated 2 units to the right and 3 units down. Which rule describes the translation that was applied to triangle ABC to create triangle A'B'C'?

• (x, y) --> ( x - 3, y + 2)

• (x, y) --> (x + 2, y - 3)

• (x, y) --> (2x, -3y)

• (x, y) --> (-3x, 2y)

Reflection

To FLIP a figure over a line of reflection, creating a mirror image

Does not change size or shape

Reflection Rules

• Reflection over x-axis --> (x, -y)

• Reflection over y-axis --> (-x, y)

Multiple Choice

Pentagon VWXYZ is shown on the coordinate grid. A student reflected pentagon VWXYZ across the x-axis to create V'W'X'Y'Z'. Which rules describes this transformation?

• (x, y) --> (x, -y)

• (x, y) --> (x, y+ 8)

• (x, y) --> (-y, x)

• (x, y) --> (-x, y)

Multiple Choice

A circle is graphed on a coordinate grid and then reflected across the y-axis. If the center of the original circle was located at (x, y), which ordered pair represents the center of the new circle after the transformation?

• (x, y)

• (x, -y)

• (-x, y)

• (-x, -y)

Multiple Choice

The coordinates of the vertices of a quadrilateral are P (1, 2), R (1, 4), S (3,4), and T (4,2). The quadrilateral is reflected across the y-axis, which rule describes this transformation?

• (x, y) --> (x, -y)

• (x, y) --> (-x, y)

• (x, y) --> (-y, x)

• (x, y) --> (-y, x)

Rotation

To TURN a figure around a point of rotation (clockwise or counterclockwise)

Does not change size or shape

Rotation Rules

• 90 clockwise --> (y, -x)

• 180 clockwise --> (-x, -y)

• 270 clockwise --> (-y, x)

Multiple Choice

Parallelogram PQRS is rotated 90 degrees clockwise about the origin to create P'Q'R'S'. Which rule describes this transformation?

• (x, y) --> (x, -y)

• (x, y) --> (-x, y)

• (x, y) --> (y, x)

• (x, y) --> (y, -x)

Multiple Choice

The figure is rotate 180 clockwise with the origin as the center of rotation to create a new figure. Which rule describes this transformation?

• (x, y) --> (-x, -y)

• (x, y) --> (x, -y)

• (x, y) --> (-y, -x)

• (x, y) --> (-x, y)

Dilation

To GROW or SHRINK a figure

changes the size of the shape, does not stay congruent

Dilation Rule

• Dilation --> (#x, #y)

• Scale Factor > 1 = Grows

• Scale Factor < 1 = Shrinks

• SCALE FACTOR HAS TO BE THE SAME NUMBER!

Multiple Choice

Quadrilateral ABCD was dilated with the origin as the center of dilation. Which rule best represents the dilation that was applied?

• (x, y) --> (0.4x, 0.4y)

• (x, y) --> (x + 3, y + 1.5)

• (x, y) --> (2.5x, 2.5y)

• (x, y) --> (x - 1.5, y + 3)

Multiple Choice

Figure S, the small arrow, was dilated wit the origin as the center of dilation to create Figure T, the large arrow. Which rule best represents the dilation that was applied to Figure S to create Figure T?

• (x, y) --> (2x, 2y)

• (x, y) --> (4x, 4y)

• (x, y) --> (1/2x, 1/2y)

• (x, y) --> (1/4x, 1/4y)

Multiple Choice

Circle 1 was dilated with the origin as the center of dilation to create Circle 2. Which rule best represents the dilation applied to Circle 1 to create Circle 2?

• (x, y) --> (3/8x, 3/8y)

• (x, y) --> 8/3x, 8/3y)

• (x, y) --> (x + 5, y + 5)

• (x, y) --> (x - 5, y - 5)