Subjects geometry

Lines Symmetry

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1. **Problem Statement:** We are asked to identify and draw two lines of symmetry for each given shape: a rectangle, an ellipse, a circle with a diagonal line, and a capsule shape. 2. **Understanding Lines of Symmetry:** A line of symmetry divides a shape into two mirror-image halves. For each shape, we find lines where folding along the line results in matching halves. 3. **Shape a) Rectangle:** - A rectangle has two lines of symmetry: one vertical line through its center and one horizontal line through its center. - These lines split the rectangle into equal halves. 4. **Shape b) Ellipse:** - An ellipse has two lines of symmetry: the major axis (longest diameter) and the minor axis (shortest diameter). - Both axes pass through the center of the ellipse. 5. **Shape c) Circle with diagonal line:** - A circle has infinite lines of symmetry, but the problem states two lines. - The two lines of symmetry here are the vertical and horizontal lines through the center, ignoring the diagonal line. - The diagonal line does not affect the circle's symmetry lines. 6. **Shape d) Capsule shape:** - The capsule is symmetric about the vertical line dividing it in half. - The second line of symmetry is the horizontal line through the center. - Both lines split the capsule into mirror-image halves. 7. **Summary:** - Rectangle: vertical and horizontal center lines. - Ellipse: major and minor axes. - Circle: vertical and horizontal center lines. - Capsule: vertical dividing line and horizontal center line. This completes the identification of two lines of symmetry for each shape.