Translations in Coordinate Geometry

This video tutorial covers algebraic representations of translations on a coordinate plane. It explains the rules for translating figures up, down, left, or right using algebraic expressions. The tutorial includes examples of translating a line segment, a triangle, and a rectangle, demonstrating how to apply these rules to find new coordinates. The video concludes with a brief introduction to reflections, setting the stage for the next lesson.

What is the algebraic representation for translating a point 5 units to the right?

• x - 5

• x + 5

• y - 5

• y + 5

If a point is translated 3 units left and 2 units up, what is the new x-coordinate?

• x - 2

• x + 3

• x + 2

• x - 3

After translating a line segment 3 units right and 4 units down, what is the new y-coordinate of a point originally at (6, 6)?

• 4

• 10

• 2

• 0

What is the new position of point A at (0, 0) after translating 2 units right and 4 units down?

• (2, 4)

• (2, -4)

• (-2, -4)

• (0, -4)

How do you calculate the slope of a translation that moves 4 units down and 2 units right?

• -2

• 1/2

• 2

• -1/2

What is the new position of point P at (0, -1) after translating 4 units left and 2 units down?

• (4, 1)

• (-4, -3)

• (-4, 1)

• (4, -3)

If a rectangle is translated 4 units left and 2 units down, what happens to the x-coordinate of each vertex?

• It decreases by 2

• It decreases by 4

• It increases by 4

• It increases by 2

What does the expression x + 2, y - 3 represent in terms of translation?

• 2 units right, 3 units up

• 2 units right, 3 units down

• 2 units left, 3 units up

• 2 units left, 3 units down

How can the arrow notation x, y → x + 1, y - 3 be interpreted?

• If x, y then x - 1, y + 3

• If x, y then x - 3, y + 1

• If x, y then x + 3, y - 1

• If x, y then x + 1, y - 3

What does a negative sign in front of a number in a translation expression indicate?

• A movement to the right

• A movement to the left

• A movement upwards

• A movement downwards