Coordinate Geometry Transformations Quiz

Koda drew a triangle with coordinates (1, 3), (3, 2), and (4, 2). She drew an image of the triangle with coordinates (−1, 3), (−3, 2), and (−4, 2). Which rule describes the transformation?

• (x, y) → (−x, y)

• (x, y) → (x, −y)

• (x, y) → (x − 2, y)

• (x, y) → (x, y − 2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Michael draws a square on a coordinate plane. Then, he draws an image of the square 3 units to the right of the original square. Which statements are true? Select TWO correct answers.

• Each side length of the image is 3 times the corresponding side length of the original figure.

• The orientation of the original figure and image are the same.

• The area of the image is larger than the area of the original figure.

• The corresponding angle measures of the original figure and the image are equal.

• Each angle measure of the image is 9 times the corresponding angle measure of the original figure.

Tags

CCSS.8.G.A.3

Which rule best describes the transformation used to create △DEF from △ABC?

• (x, y) → (−x, y)

• (x, y) → (x + 3, y − 1)

• (x, y) → (−y, x)

• (x, y) → (x + 1, y − 3)

Tags

CCSS.HSG.CO.A.2

Triangle PQR is translated 4 units right and 7 units down. Write a rule that describes this transformation.

(x , y) ---->

Tags

CCSS.HSG.CO.A.2

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

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

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

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

• Parallelogram RSTO is congruent to Parallelogram R'S'T'O'.

Tags

CCSS.HSG.CO.A.2

What is the algebraic rule for reflecting a point over the x-axis?

• (x, y) → (x, -y)

• (x, y) → (-x, y)

• (x, y) → (-x, -y)

• (x, y) → (y, x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Consider triangles DEF and ABC. The triangles are congruent. Describe the transformation and write the algebraic rule used to create triangle DEF from triangle ABC.

(x , y) ----->

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

When you translate a triangle 8 units to the left and 3 units down, what is the algebraic rule for the transformation?

(x, y) →

Tags

CCSS.HSG.CO.A.2

Trapezoid HJKL was transformed to create Trapezoid H'J'K'L'. The transformation is represented by the rule (x, y) → (x + a, y + b). What is the value of a?

• -4

• -7

• 6

• • -8

Tags

CCSS.HSG.CO.A.2