Circle Symmetry Concepts

The video tutorial explains how to determine the type of symmetry in graphs, focusing on x-axis, y-axis, and origin symmetry. It analyzes four different graphs, including a circle, to identify which symmetries they possess. The first graph has no symmetry, the second has origin symmetry, the third has x-axis symmetry, and the circle has all three symmetries.

What are the three types of symmetry discussed in the video?

• x-axis, diagonal, and origin symmetry

• y-axis, diagonal, and origin symmetry

• x-axis, y-axis, and origin symmetry

• x-axis, y-axis, and diagonal symmetry

What does it mean for a graph to have x-axis symmetry?

• The graph can be folded diagonally and overlap perfectly.

• The graph can be folded over the x-axis and overlap perfectly.

• The graph can be folded over the y-axis and overlap perfectly.

• The graph can be rotated 180 degrees and look the same.

Why does the first graph not have x-axis symmetry?

• It does not overlap when folded over the y-axis.

• It overlaps when folded over the y-axis.

• It does not overlap when folded over the x-axis.

• It overlaps when folded over the x-axis.

What is the result of folding the first graph over the y-axis?

• It overlaps perfectly.

• It does not overlap.

• It creates a mirror image.

• It rotates 180 degrees.

What is required for a graph to have origin symmetry?

• The graph must overlap when folded over the y-axis.

• The graph must be a circle.

• The graph must overlap when folded over the x-axis.

• The graph must have the same features in opposite quadrants.

Does the first graph have origin symmetry?

• Yes, it overlaps when folded over the x-axis.

• No, it overlaps when folded over the y-axis.

• No, it does not have the same features in opposite quadrants.

• Yes, it has the same features in opposite quadrants.

What happens when the second graph is folded over the x-axis?

• It does not overlap.

• It overlaps perfectly.

• It creates a mirror image.

• It rotates 180 degrees.

Does the second graph have y-axis symmetry?

• No, it rotates 180 degrees.

• No, it does not overlap when folded over the y-axis.

• Yes, it overlaps when folded over the y-axis.

• Yes, it creates a mirror image.

What indicates that the second graph has origin symmetry?

• It overlaps when folded over the y-axis.

• It overlaps when folded over the x-axis.

• It is a circle.

• It has mirror images in opposite quadrants.

What symmetry does the third graph have when folded over the x-axis?

• It has no symmetry.

• It has origin symmetry.

• It has y-axis symmetry.

• It has x-axis symmetry.