Transformations Review (Period 4)

Which represents translating right 4 and down 2?

• (x - 2, y + 4)

• (x - 4, y - 2)

• (x + 4, y + 2)

• (x + 4, y - 2)

Answer explanation

The correct choice is (x + 4, y - 2) because translating right 4 means adding 4 to x, and down 2 means subtracting 2 from y.

The mathematical term for the line that you reflect a shape over is the...

• Mirror

• Reflective tape

• Line that you reflect over

• Line of reflection

Answer explanation

The correct term for the line that you reflect a shape over is the 'Line of reflection'. It is the line that acts as a mirror for the shape's reflection.

"Sliding" a figure is a _________.

• Translation

• Reflection

• Rotation

• Transformation

Answer explanation

Sliding a figure is a translation, which involves moving the figure without changing its orientation or size.

Determine where X' would be if you translated X 3 units to the left and 9 units down.

• (-4, 4)

• (-10, 2)

• (-4, -5)

• (-1, 5)

Answer explanation

To find X', we shift X 3 units left and 9 units down. Therefore, X' would be (-4, -5), as X(-4, 4) becomes X' after the translation.

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

Answer explanation

Trapezoid ABCD is translated 8 units down and 5 units to the right to become trapezoid A'B'C'D', as indicated by the correct answer choice.

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

• right two, down five

• right two, down 9

• left two, down 9

• left two, down 5

Answer explanation

To translate triangle A'B'C' to triangle ABC, you need to move right two units and down 9 units. This transformation aligns the corresponding vertices of both triangles.

Which answer shows a reflection across the y-axis?

• a

• b

• c

• d

Answer explanation

Reflection across the y-axis involves flipping the figure over the y-axis. Choice d is the correct answer as it reflects the figure across the y-axis.

Which answer shows a reflection across the x-axis?

• d

• c

• b

• a

Answer explanation

The correct answer choice 'c' shows a reflection across the x-axis as it is flipped vertically.

Find K' if the figure is reflected across the x-axis

• (4, 1))

• (-1, -4)

• (1, -4)

• (1, 4)

Answer explanation

When a point is reflected across the x-axis, the y-coordinate changes sign. So, if K is (1, -4), its reflection across the x-axis would be (1, 4). Therefore, the correct answer is (1, 4).

Find K' if the figure is reflected across the x-axis

• (4, 1))

• (-1, -4)

• (1, -4)

• (1, 4)

Answer explanation

When a point is reflected across the x-axis, the y-coordinate changes sign. So, if K is (1, -4), reflecting it across the x-axis gives (1, 4), which is the correct answer.