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

Explanation:

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<reasoning>

Analyze the symmetry of letter V

Using the Reflection Symmetry knowledge point

• A vertical line passing through the center of the letter V divides it into two identical, mirrored halves.
• A horizontal line does not create a mirrored reflection.
• Therefore, V has only a vertical line of symmetry.

Analyze the symmetry of letter E

Using the Reflection Symmetry knowledge point

• A horizontal line passing through the middle of the letter E divides it into two identical, mirrored halves.
• A vertical line does not create a mirrored reflection.
• Therefore, E has only a horizontal line of symmetry.

Analyze the symmetry of letter T

Using the Reflection Symmetry knowledge point

• A vertical line passing through the center of the vertical stem of the letter T divides it into two identical, mirrored halves.
• A horizontal line does not create a mirrored reflection.
• Therefore, T has only a vertical line of symmetry.

Analyze the symmetry of letter A

Using the Reflection Symmetry knowledge point

• A vertical line passing through the top vertex and the center of the horizontal bar of the letter A divides it into two identical, mirrored halves.
• A horizontal line does not create a mirrored reflection.
• Therefore, A has only a vertical line of symmetry.

Analyze the symmetry of letter H

Using the Reflection Symmetry knowledge point

• A vertical line passing through the center of the horizontal bar of the letter H divides it into two identical, mirrored halves.
• A horizontal line passing through the center of the horizontal bar also divides it into two identical, mirrored halves.
• Therefore, H has both a vertical and a horizontal line of symmetry.

</reasoning>

<answer>
The lines of symmetry for each letter in Question 10 are:

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

</answer>

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Answer:

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<reasoning>

Analyze the symmetry of letter V

Using the Reflection Symmetry knowledge point

• A vertical line passing through the center of the letter V divides it into two identical, mirrored halves.
• A horizontal line does not create a mirrored reflection.
• Therefore, V has only a vertical line of symmetry.

Analyze the symmetry of letter E

Using the Reflection Symmetry knowledge point

• A horizontal line passing through the middle of the letter E divides it into two identical, mirrored halves.
• A vertical line does not create a mirrored reflection.
• Therefore, E has only a horizontal line of symmetry.

Analyze the symmetry of letter T

Using the Reflection Symmetry knowledge point

• A vertical line passing through the center of the vertical stem of the letter T divides it into two identical, mirrored halves.
• A horizontal line does not create a mirrored reflection.
• Therefore, T has only a vertical line of symmetry.

Analyze the symmetry of letter A

Using the Reflection Symmetry knowledge point

• A vertical line passing through the top vertex and the center of the horizontal bar of the letter A divides it into two identical, mirrored halves.
• A horizontal line does not create a mirrored reflection.
• Therefore, A has only a vertical line of symmetry.

Analyze the symmetry of letter H

Using the Reflection Symmetry knowledge point

• A vertical line passing through the center of the horizontal bar of the letter H divides it into two identical, mirrored halves.
• A horizontal line passing through the center of the horizontal bar also divides it into two identical, mirrored halves.
• Therefore, H has both a vertical and a horizontal line of symmetry.

</reasoning>

<answer>
The lines of symmetry for each letter in Question 10 are:

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

</answer>

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