Reflections in Coordinate Geometry

This video tutorial from Mumu Math explains the concept of reflection on a coordinate plane. It covers the steps to create a reflection, including identifying ordered pairs and determining which axis to reflect over. The video provides examples of reflecting shapes over both the x-axis and y-axis, demonstrating how coordinates change during reflection. The tutorial aims to help viewers understand the process of creating mirror images on a coordinate plane.

What is a reflection on a coordinate plane?

• A scaling of an object by a factor

• A translation of an object along a line

• A mirror image of an object across an axis

• A rotation of an object around a point

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which coordinate changes when reflecting over the x-axis?

• Both coordinates

• Neither coordinate

• The x-coordinate

• The y-coordinate

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the first step in creating a reflection?

• Connecting the points

• Determining the line of symmetry

• Identifying each ordered pair

• Plotting the new ordered pairs

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

In the example of reflecting over the x-axis, what happens to the y-coordinates?

• They change to their opposites

• They double

• They become zero

• They remain the same

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What are the new coordinates of the point (2, -1) after reflecting over the x-axis?

• (-2, 1)

• (2, -1)

• (-2, -1)

• (2, 1)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

When reflecting over the y-axis, which coordinate remains unchanged?

• The y-coordinate

• Both coordinates

• The x-coordinate

• Neither coordinate

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What are the new coordinates of the point (1, 2) after reflecting over the y-axis?

• (1, -2)

• (-1, 2)

• (1, 2)

• (-1, -2)

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

In the example of reflecting over the y-axis, what happens to the x-coordinates?

• They become zero

• They remain the same

• They change to their opposites

• They double

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the final step in creating a reflection?

• Determining the line of symmetry

• Identifying each ordered pair

• Connecting the points to create the reflection

• Plotting the new ordered pairs

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CCSS.4.G.A.3

What is the purpose of the line of symmetry in a reflection?

• To act as a mirror line for the reflection

• To translate the object along

• To rotate the object around

• To determine the scale of the reflection

Tags

CCSS.4.G.A.3