Reflections and Translations on a Grid

Translations keep

• both congruence and orientation

• only congruence

• only orientation

• neither

Reflections keep

• both congruence and orientation

• only congruence

• only orientation

• neither

What is the algebraic representation of translating a figure 3 units left and 5 units down?

• (x+5, y-3)

• (x-5, y+3)

• (x-3, y+5)

• (x-3, y-5)

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

• (x, y) --> (x, -y)

• (x, y) --> (-x, -y)

• (x, y) --> (-x, y)

• (x, y) --> (y, -x)

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

• (x, y) --> (x, -y)

• (x, y) --> (-x, y)

• (x, y) --> (-x, -y)

• (x, y) --> (y,x)

What transformation is occurring? (x+6, y-4)

• Left 6, Down 4

• Right 6, Up 4

• Right 6, Down 4

• .-Left 6, Up 4

∆BCD contains the points: B(2,3) C(2,1) D(5,1). If the triangle is reflected across the x-axis, what will B' be?

• B'(2, -3)

• B'(-2, 3)

• B'(-2, -3)

• B'(2, 3)

∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?

• S'(3, 7)

• S'(-3, 7)

• S'(-3, -7)

• S'(3, 7)

Quadrilateral BQVN contains the points:
B(-2,4) Q(-2, -4) V(2,4) N(2, -4). If the quadrilateral is translated to the right 2, what will B' be?

• B'(0, 4)

• B'(-4, 4)

• B'(-6, 4)

• B'(-2, 6)

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.