Transformation of Shapes

Victor drew a square with vertices at (1, 2), (3, 2), (3, 4), and (1, 4). He slides the square 5 units up to create an image. What are the vertices of the image and the algebraic rule that describes this transformation?

• (6, 2), (8, 2), (8, 4), and (6, 4); (x + 5, y)

• (1, 7), (3, 7), (3, 9), and (1, 9); (x, y + 5)

• (1, –3), (3, –3), (3, –1), and (1, –1); (x, y – 5)

• (1, –2), (3, –2), (3, –4), and (1, –4); (x, –y)

Parallelogram RSOT is translated 4 units down and 5 units to the left to form parallelogram R'S'O'T'. Which statement is true?

• Each side length of parallelogram RSOT is 2 times the corresponding side length of parallelogram R'S'O'T'.

• The sum of the angle measures of parallelogram RSOT is greater than the sum of the angle measures of parallelogram R'S'O'T'.

• Each side length of parallelogram RSOT is 1/2 times the corresponding side length of parallelogram R'S'O'T'.

• Parallelogram RSOT is congruent to parallelogram R'S'O'T'.

Elisa drew a triangle with coordinates (2, 4), (5, 3), and (7, 2). She drew an image of the triangle with coordinates (–1, 4), (2, 3), and (4, 2). Which rule best describes the transformation?

• (x, y) → (x – 5, y)

• (x, y) → (x + 3, y)

• (x, y) → (x + 2, y)

• (x, y) → (x – 3, y)

Noah draws triangle ABC. Then, he translates that triangle using the rule (x + 2, y – 1) to create triangle A'B'C'. The measure of ∠A is 60 degrees. What is the measure of ∠A' in degrees?

• 59°

• 60°

• 62°

• 6 cm

Which sequence of transformations will map trapezoid A to its image A'?

• Reflection, then a translation

• Rotation, then a translation

• Reflection, then a rotation

• Rotation, then a dilation

Select all of the transformations that carry the square onto itself.

• a reflection over the line

  x = 3

• a reflection over the line

  y = -x

Choose all of the following that will translate shape A to shape B.

• (x,y) --> (x-5, y-3)

• Horizontal -5

  Vertical -3

• 5 Right

  3 Up

• Horizontal 5

  Vertical 3

If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?

• (-5, 5)

• (-3, -5)

• (-5, 3)

• (-3, 3)

Select all of the transformations that carry the square onto itself.

• a reflection over the line

  x = 3

• a reflection over the line

  y = -x

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

• Translated 5 units down and 5 units to the right

• Translated 5 units down and 1 to the right

• Translated 8 units down and 5 units to the right

• Translated 5 units down and 4 units to the right