Question

1. for each of the letters below, if rotation symmetry exists, locate the point of symmetry.

h t x n k

1. for each of the letters below, draw a vertical and/or horizontal line of symmetry, if it exists.

v e t a h

determine if rotation and/or reflection symmetry exists for each of the following diagrams. if so, describe the type of symmetry and draw all the lines of symmetry and/or locate the symmetrical point. it is possible for the figure to have both rotational and reflection symmetry.

11.
12.
13.

Explanation:

Analyze rotational symmetry in Question 9

Using the Rotational Symmetry and Point Symmetry knowledge points

• H: Has rotational symmetry of order 2 (180°). The point of symmetry is at the exact center of the letter.
• T: No rotational symmetry (order 1).
• X: Has rotational symmetry of order 2 (180°). The point of symmetry is at the intersection of the two diagonal lines.
• N: Has rotational symmetry of order 2 (180°). The point of symmetry is at the center of the diagonal segment.
• K: No rotational symmetry (order 1).

Analyze reflection symmetry in Question 10

Using the Reflection Symmetry knowledge point

• V: Has a vertical line of symmetry down the center.
• E: Has a horizontal line of symmetry through the middle.
• T: Has a vertical line of symmetry down the center.
• A: Has a vertical line of symmetry down the center.
• H: Has both a vertical line of symmetry down the center and a horizontal line of symmetry through the middle.

Analyze symmetry for Diagram 11

Using the Reflection Symmetry and Rotational Symmetry knowledge points

• The diagram is an angle pointing upwards (like a chevron).
• Reflection: It has a vertical line of symmetry passing through the vertex.
• Rotation: It does not have rotational symmetry (order 1).

Analyze symmetry for Diagram 12

Using the Reflection Symmetry and Rotational Symmetry knowledge points

• The diagram is a semicircle.
• Reflection: It has a vertical line of symmetry passing through the midpoint of the flat base and the highest point of the arc.
• Rotation: It does not have rotational symmetry (order 1).

Analyze symmetry for Diagram 13

Using the Reflection Symmetry and Rotational Symmetry knowledge points

• The diagram is a composite shape consisting of a square rotated by 45 degrees (diamond) connected to two horizontal segments.
• Reflection: It has a vertical line of symmetry passing through the top and bottom vertices of the diamond.
• Rotation: It does not have rotational symmetry (order 1).

Answer:

Question 9

• H: Rotational symmetry exists. The point of symmetry is at the exact center of the letter.
• T: No rotational symmetry.
• X: Rotational symmetry exists. The point of symmetry is at the intersection of the diagonal lines.
• N: Rotational symmetry exists. The point of symmetry is at the center of the diagonal segment.
• K: No rotational symmetry.

Question 10

• V: Vertical line of symmetry.
• E: Horizontal line of symmetry.
• T: Vertical line of symmetry.
• A: Vertical line of symmetry.
• H: Both vertical and horizontal lines of symmetry.

Question 11

• Reflection Symmetry: Yes, one vertical line of symmetry through the vertex.
• Rotational Symmetry: No.

Question 12

• Reflection Symmetry: Yes, one vertical line of symmetry through the center.
• Rotational Symmetry: No.

Question 13

• Reflection Symmetry: Yes, one vertical line of symmetry through the center of the diamond.
• Rotational Symmetry: No.