Reflections & Translations

Write in component form.

• <0, 4>

• <8, 2>

• <2, 8>

• <0, 2>

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

$\left(x,y\right)\longrightarrow\left(x+4,y-2\right)$

Translating right 4 means the x value increases by 4. Translating down 2 results in the y value decreasing by 2.

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 line that a figure is reflected over is called the line of reflection.

"Sliding" a figure is a _________.

• Translation

• Reflection

• Rotation

• Transformation

Answer explanation

Sliding a figure is a translation, because the figure "slides" on the graph without changing the orientation of the figure.

The original figure before a transformation.

• Pre-image

• Image

Answer explanation

The original figure is called the preimage because it is the image before a transformation (pre-transformation).

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)

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

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

Which answer shows a reflection across the y-axis?

• a
• b
• c
• d

Which answer shows a reflection across the x-axis?

• d
• c
• b
• a