Identifying Reflections, Rotations, Translations

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

Which answer shows a reflection across the y-axis?

• a
• b
• c
• d

Reflections over the x-axis change the ____-__________. 

• y-coordinate
• x-coordinate
• y-axis
• x-axis 

Reflecting over the y-axis changes the ____-_____________. 

• x-axis
• x-coordinate
• y-coordinate
• none of the above

Find K'.

• (4, 1))
• (-1, -4)
• (1, -4)
• (1, 4)

Point R′ (−2, 8) is the image of point R (−2, 2). Which of the following could be that transformation?

• A reflection across the y-axis
• A dilation with a scale factor of 4
• A translation of 6 units up
• A translation of 6 units to the right

Square ABCD is translated by the rule (x – 3, y + 1). What are the coordinates of D′?

• (–2, 4)
• (4, 2)
• (0, 0)
• (–3, 4)

Which reflection does the image show?

• Reflection across the x-axis according to the rule (x, y) → (x, −y)
• Reflection across the y-axis according to the rule (x, y) → (x, −y)
• Reflection across the x-axis according to the rule (x, y) → (−x, y)
• Reflection across the y-axis according to the rule (x, y) → (−x, y)

A reflection is applied to triangle ABC according to the rule (x, y) → (x, –y). Which of the following will describe the effect of the reflection?

• A′ will stay as the top vertex.
• C′ will now be the top vertex.
• C′ will stay as the bottom vertex.
• B′ will be the bottom vertex.