Questions: 20. Which figure has exactly one line of symmetry? A. Figure I B. Figure II C. Figure III

Solution Steps

• Figure I: A square has four lines of symmetry.
• Figure II: A parallelogram has no lines of symmetry.
• Figure III: An isosceles triangle has one line of symmetry.
• Figure IV: A trapezoid has one line of symmetry.

Answer: Figure III

Given vertices:

• $G(0, -2)$
• $Y(-3, 0)$
• $M(-3, -4)$

Reflecting over the x-axis:

• $G'(0, 2)$
• $Y'(-3, 0)$ (no change as it lies on the x-axis)
• $M'(-3, 4)$

Using the reflected coordinates:

• $G'(0, 2)$
• $Y'(-3, 0)$
• $M'(-3, 4)$

Rotating 90° clockwise:

• $G''(2, 0)$
• $Y''(0, 3)$
• $M''(4, 3)$

Final Answer