Worksheet: Coordinate plane: reflecting points | Negative numbers | 6th grade | Khan Academy

Comprehension worksheet generated from the video "Coordinate plane: reflecting points | Negative numbers | 6th grade | Khan Academy".

Reflecting Points on a Coordinate PlaneKhan Academyhttps://www.youtube.com/watch?v=INqaHHZGt8w
Reflecting Points on a Coordinate Plane

Vocabulary

  • x-axis — The horizontal number line in a coordinate plane.
  • y-axis — The vertical number line in a coordinate plane.
  • Ordered pair — A pair of numbers, (x,y)(x, y), that indicates the position of a point on a coordinate plane.
  • Reflection — A transformation that flips a figure over a line (the axis of reflection), creating a mirror image.
  • x-coordinate — The first number in an ordered pair, representing the horizontal distance from the y-axis.
  • y-coordinate — The second number in an ordered pair, representing the vertical distance from the x-axis.

Questions

Watch the video and answer the following questions based on the information presented.
1.
In the first example (0:00-0:15), the video asks to plot the point (−8,5)(-8, 5). What are the x-coordinate and y-coordinate of this point?
2.
In the second example (1:16-1:30), the video asks to plot the point (−6,−7)(-6, -7). How many units to the left of the y-axis and how many units below the x-axis is this point?
3.
Based on the first example (0:00-1:15), the point (−8,5)(-8, 5) is reflected across the y-axis. What is the ordered pair of its reflection?
4.
In the third example (2:20-3:35), the narrator states point A is (−6,5)(-6, 5) and visually plots point B at (6,−5)(6, -5). Point B is a reflection of point A across which axis or axes?
  1. The x-axis
  2. The y-axis
  3. The x-axis and then the y-axis
  4. B is not a reflection of A
5.
Imagine you are designing a simple video game where objects move and reflect off walls. How would understanding reflections across the x-axis and y-axis help you program an object to bounce off a horizontal or vertical wall?

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