Exploring Rational Expressions in 8.1 TranSLations

What does a translation in geometry typically involve?

• Reflecting a figure across a line

• Rotating a figure around a point

• Changing the size of the figure

• Moving every point of a figure the same distance in the same direction

If a point on a graph moves from (3, 2) to (1, 2), what kind of transformation has occurred?

• No translation

• Translation to the right

• Translation to the left

• Translation upwards

Which axis tells us about left and right movements in a coordinate system?

• Z-axis

• X-axis

• Y-axis

• None of the above

How would you describe the movement of a point that goes from (2, 3) to (2, 1)?

• It moves right

• It moves up

• It moves left

• It moves down

What is the algebraic rule for translating a point (x, y) four units left and three units up?

• x + 4, y - 3

• x - 4, y - 3

• x - 4, y + 3

• x + 4, y + 3

If a point is translated to the right on the X-axis, what happens to its X-coordinate?

• It remains the same

• It increases

• It becomes zero

• It decreases

What does the Y-coordinate indicate about the movement of a point?

• Left and right

• Up and down

• Diagonal movement

• No movement

After translating a triangle six units left and four units down, what happens to the y-coordinates of its vertices?

• They decrease by four

• They increase by six

• They remain unchanged

• They increase by four

What is the result of translating a point (x, y) by subtracting 5 from x and adding 2 to y?

• (x+5, y-2)

• (x-2, y+5)

• (x-5, y+2)

• (x+2, y-5)

What defines a rigid transformation in geometry?

• A transformation that maintains the shape and size

• A transformation that alters the orientation of the shape

• A transformation that changes the size of the shape

• A transformation that only moves the shape to the left or right