Translations and Reflections

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

• (x, y) --> (x+2, y-5)

• (x, y) --> (x+2, y-9)

• (x, y) --> (x-2, y-9)

• (x, y) --> (x-2, y+9)

How is triangle ABC being translated to triangle A'B'C'?

• up 3, left 8
• up 9, left 4
• down 3, right 8
• down 9, right 4

In a translation, the preimage and image are ___________.

• congruent

• similar

• different

• none of the above

What transformation is happening?

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

• translation up 2, left 3

• translation right 2, up 3

• translation right 2, down 3

• translation left 3, right 2

Triangle ABC has vertices at A(6, 1) B(1, 7) and C(-3, -2). The translation to create triangle A'B'C' is (x, y) goes to (x - 1, y + 2). Which will be the coordinates of triangle A'B'C'?

• A'(5, 2), B'(0, -4), C'(0, 9)

• A'(5, 3), B'(0, -4), C'(0, 8)

• A'(5, 3), B'(0, 9), C'(-4, 0)

• A'(5, 2), B'(1, -3), C'(0, 9)

What is a reflection?

• When you turn an object around a point.
• When you slide an object form one place to another.
• When you flip or mirror an object across a line.
• When you resize an object.

State the line of reflection.

• Reflection across y-axis
• Reflection across x-axis
• Reflection across x = 1
• Reflection across y = 1

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

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

Which answer shows a reflection across the x-axis?

• d
• c
• b
• a

What is the Algebraic Notation for this Reflection?

• (x, y) → (y, x)
• (x, y) → (-x, y)
• (x, y) → (-y, -x)
• (x, y) → (x, -y)