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A figure has line symmetry, if a line ca...

A figure has line symmetry, if a line can be drawn dividing the figure into two identical parts, i.e., on folding the figure along the line, the two parts of the figure exactly coincide.
Which of the following letters has only one line of symmetry?

A

H

B

X

C

Z

D

T

Text Solution

AI Generated Solution

The correct Answer is:
To determine which letter has only one line of symmetry, we will analyze each letter step by step. ### Step 1: Identify the letters The letters we need to analyze are H, X, Z, and T. ### Step 2: Analyze letter H - **Observation**: The letter H has a vertical line of symmetry that divides it into two identical halves. - **Conclusion**: H has 2 lines of symmetry (one vertical and one horizontal). ### Step 3: Analyze letter X - **Observation**: The letter X has both a vertical and a horizontal line of symmetry. - **Conclusion**: X has 2 lines of symmetry. ### Step 4: Analyze letter Z - **Observation**: The letter Z does not have any line of symmetry. No matter how you try to fold it, the two halves will not coincide. - **Conclusion**: Z has 0 lines of symmetry. ### Step 5: Analyze letter T - **Observation**: The letter T has only one line of symmetry, which is vertical. When folded along this line, the two halves match perfectly. - **Conclusion**: T has 1 line of symmetry. ### Final Conclusion Among the letters H, X, Z, and T, the letter that has only one line of symmetry is T. ### Answer The letter with only one line of symmetry is **T**. ---
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