Transformations Practice

What is the algebraic notation of a figure is Translated 2 units right and 5 units up?

• (x, y) --> (x - 2, y - 5)

• (x, y) --> (x + 5, y - 2)

• (x, y) --> (x + 2, y + 5)

• (x, y) --> (5x, 2y)

Answer explanation

The figure is translated 2 units right (x + 2) and 5 units up (y + 5). Therefore, the correct algebraic notation is (x, y) --> (x + 2, y + 5).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Determine how to translate triangle ABC to triangle A'B'C'.

• (x - 9 , y + 2)

• 
  (x - 2, y + 5)

• (x + 2, y - 9)

• (x - 2, y + 9)

Answer explanation

To translate triangle ABC to triangle A'B'C', we need to find the correct vector. The correct translation is (x - 2, y + 9), which shifts the triangle 2 units left and 9 units up, matching the position of triangle A'B'C'.

Tags

CCSS.HSG.CO.A.2

Determine how to translate triangle A'B'C' to triangle ABC.

• 
  (x + 2, y - 9 )

• (x - 2, y + 9)

• 
  (x - 2, y + 5)

• (x + 2, y - 5)

Answer explanation

To translate triangle A'B'C' to triangle ABC, we need to adjust the coordinates. The correct translation is (x + 2, y - 9), moving the triangle right by 2 units and down by 9 units.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Describe the given translation:

(x, y) ----> (x + 2, y - 3)

• 
  slide up 2 units and left 3 units

• 
  slide right 2 units and down 3 units

• slide right 2 units and up 3 units

• slide left 3 units and right 2 units

Answer explanation

The translation (x, y) to (x + 2, y - 3) means moving right 2 units (increase in x) and down 3 units (decrease in y). Thus, the correct description is 'slide right 2 units and down 3 units'.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What does this transformation say to do?

(x, y) -----> (x, y + 4)

• 
  slide down 4 units

• 
  slide right 4 units

• slide up 4 units

• slide left 4 units

Answer explanation

The transformation (x, y) -> (x, y + 4) indicates that the y-coordinate is increased by 4. This means the point moves vertically upwards by 4 units, hence the correct choice is 'slide up 4 units'.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which rule correctly describes this translation?

• 
  (x - 6, y + 2)

• (x + 2, y - 6)

• 
  (x - 2, y + 6)

• (x + 6, y - 2)

Answer explanation

The translation (x + 2, y - 6) indicates a shift 2 units to the right and 6 units down, which matches the transformation described. The other options do not reflect this movement accurately.

Tags

CCSS.HSG.CO.A.2

What is the algebraic representation for reflecting a figure over the y-axis?

• 
  (x, y) --> (-x, y)

• 
  (x, y) --> (y,x)

• 
  (x, y) --> (-x, -y)

• 
  (x, y) --> (x, -y)

Answer explanation

Reflecting a figure over the y-axis changes the x-coordinate's sign while keeping the y-coordinate the same. Thus, the correct algebraic representation is (x, y) --> (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which point shows a reflection of point Y(-5, -7) over the y-axis?

• (-5, 7)

• 
  (5, 7)

• 
  (-5, -7)

• 
  (5, -7)

Answer explanation

To reflect point Y(-5, -7) over the y-axis, change the sign of the x-coordinate. The new point becomes (5, -7), which is the correct answer.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which point is the image of point B(-2, 4) reflected over the x-axis?

• 
  (2, 4)

• 
  (2, -4)

• 
  (-2, -4)

• (-2, 4)

Answer explanation

To reflect point B(-2, 4) over the x-axis, we change the sign of the y-coordinate. Thus, the image of B is (-2, -4), which is the correct answer.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

State the line of reflection.

• Reflection across y-axis

• Reflection across x = 1

• Reflection across x-axis

• Reflection across y = 1

Answer explanation

The correct choice is 'Reflection across x-axis' because this line reflects points vertically, changing their y-coordinates while keeping x-coordinates the same, which is characteristic of reflections across the x-axis.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5