Transformations and Quadrilaterals

Which of the following transformations produces a figure that is congruent to the original figure?

• Rotations

• Reflections

• Translations

• Dilations

Which of the following transformations produces a figure that is not congruent to the original figure?

• Relfections

• Translations

• Rotations

• DIlations

A quadrilateral is to be dilated with a scale factor of 0.5. Which algebraic representation represents this dilation?

• (X,Y) -> (0.5X,Y)

• (X,Y) -> (0.5X,0.5Y)

• (0.5X,0.5Y) -> (X,Y)

• (0.5X,Y) -> (X,Y)

A quadrilateral is to be dilated with a scale factor of 6. Which algebraic representation represents this dilation?

• (X,Y) -> (6X,Y)

• (X,Y) -> (6X,6Y)

• (6X,6Y) -> (X,Y)

• (6X,Y) -> (X,Y)

The coordinates of the vertices of a quadrilateral are P(2,3), Q(-3,3), R(9,-2), and S(1,1). Quadrilateral PQRS was translated 9 units to the left and 1 unit up to create P'Q'R'S'. Which rule describes this transformation?

• (X,Y) -> (X, Y + 3)

• (X,Y) -> (X + 9, Y - 1)

• (X,Y) -> (X + 9, Y + 1)

• (X,Y) -> (X - 9, Y + 1)

The coordinates of the vertices of a quadrilateral are P(6,8), Q(5,-7), R(-8,-1), and S(5,7). Quadrilateral PQRS was translated 2 units to the right and 4 unit down to create P'Q'R'S'. Which rule describes this transformation?

• (X,Y) -> (X + 1, Y)

• (X,Y) -> (X + 4, Y + 2)

• (X,Y) -> (X - 2 , Y - 4)

• (X,Y) -> (X + 2, Y - 4)

Quadrilateral PQRS is reflected across the x-axis. Which rule describes this transformation?

• (X,Y) -> (-X, Y)

• (X,Y) -> (X, -Y)

• (X,Y) -> (6X, 6Y)

• (X,Y) -> (X + 6, Y + 4)

Quadrilateral PQRS is reflected across the y-axis. Which rule describes this transformation?

• (X,Y) -> (-X, Y)

• (X,Y) -> (X, -Y)

• (X,Y) -> (6X, 6Y)

• (X,Y) -> (X + 6, Y + 4)

Triangle ABC is show on the coordinate plane below. Bianca creates triangle A'B'C' from triangle ABC by using the rule (X,Y) -> (Y,-X). Which transformation is performed on trapezoid ABC to get A'B'C'?

• Reflection over y-axis

• Reflection over x-axis

• Rotation of 90 about the origin clockwise

• Dilation

Triangle ABC is show on the coordinate plane below. Bianca creates triangle A'B'C' from triangle ABC by using the rule (X,Y) -> (-Y,X). Which transformation is performed on trapezoid ABC to get A'B'C'?

• Rotation of 270 about the origin clockwise

• Reflection over y-axis

• Rotation of 360 about the origin clockwise

• Translation x units down and y units to the left