Math Video Tutorial: Translating a Figure on the Coordinate Plane

Introduction

• Translation on the Coordinate Plane: Involves sliding a figure around the plane without rotating or resizing it.
• Objective: Translate a triangle on the coordinate plane by specified units in the x and y directions.

Current Coordinates of the Triangle

• Point A: (2, 2)
• Point B: (5, 2)
• Point C: (2, 6)

Steps for Translation

Determine the Movement

• X Direction: Move -6 units.
• Y Direction: Move -9 units.

Calculation of New Coordinates

• X Values:
  • A: 2 - 6 = -4
  • B: 5 - 6 = -1
  • C: 2 - 6 = -4
• Y Values:
  • A: 2 - 9 = -7
  • B: 2 - 9 = -7
  • C: 6 - 9 = -3

New Coordinates

• Point A': (-4, -7)
• Point B': (-1, -7)
• Point C': (-4, -3)

Quadrant Location

• All transformed point coordinates are negative, indicating their location in Quadrant 3.

Plotting and Sliding the Triangle

• Slide Left: 6 units (negative x direction)
• Slide Down: 9 units (negative y direction)
• After translation, plot the new coordinates on the coordinate plane.

Alternative Method

• Directly slide the figure on the coordinate plane without calculating new coordinates first.
• Use mathematics for large or complex coordinates that don't fit on the plane.

Conclusion

• Successfully translated the triangle by calculating new coordinates.
• Tip: Always apply changes in x and y directions directly to their respective values.

Closing Remarks

• Encouragement to subscribe and enable notifications for more math tutorials.
• Presented by Shea Masonette from "Masonette Math."