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

TL;DR

Learn how to plot reflections of points across the y-axis and x-axis using coordinates.

Transcript

The point negative 8 comma, 5 is reflected across the y-axis. Plot negative 8 comma 5 and its reflection across the y-axis. So first let's plot negative 8 comma 5. So its x-coordinate is negative 8, so I'll just use this one right over here. So the x-coordinate is negative 8, and the y-coordinate is 5, so I'll go up 5. So the y-coordinate is 5 righ... Read More

Key Insights

• 💱 Points can be reflected across the y-axis by changing the sign of the x-coordinate.
• ❣️ Reflection across the x-axis is achieved by inverting the sign of the y-coordinate.
• ❣️ Reflecting a point across both axes involves first reflecting across the x-axis and then reflecting the result across the y-axis.

Questions & Answers

Q: How do you plot the reflection of a point across the y-axis?

To plot the reflection of a point across the y-axis, you take the negative of the x-coordinate and keep the y-coordinate unchanged. This will give you the reflected point.

Q: How do you plot the reflection of a point across the x-axis?

To plot the reflection of a point across the x-axis, you keep the x-coordinate unchanged and take the negative of the y-coordinate. This will give you the reflected point.

Q: Can a point be reflected across both the x-axis and the y-axis?

Yes, a point can be reflected across both axes. To do this, you first reflect the point across the x-axis and then reflect the resulting point across the y-axis.

Q: Is it possible to reflect a point only across the y-axis or only across the x-axis?

Yes, it is possible to reflect a point across only the y-axis or only the x-axis. However, in this video, the example demonstrates reflecting a point across both axes.

Summary & Key Takeaways

• The tutorial demonstrates how to plot a point and its reflection across the y-axis, using negative coordinates for x and y.

• Another example shows the process of plotting a point and its reflection across the x-axis, using negative coordinates for x but positive for y.

• The video concludes by explaining how to reflect a point across both axes by reflecting first across the x-axis and then across the y-axis.