Draw at least 3 rotated squares and rectangles on a dot grid. Draw them such that their corners are on the dots. Verify if the squares and rectangles that you have drawn satisfy their respective properties.
Properties of Rotated Squares: All four sides remain equal in length. All four angles remain 90° even after rotation.
Properties of Rotated Rectangles: Opposite sides remain equal. All angles remain 90°.
Key Principle: Rotation does not change the lengths of sides or measures of angles.
Verification Method: Measure side lengths and angles using a ruler and protractor. Or count dot spacings on the grid.
Explanation
The chapter explains that rotating a square or rectangle does not change its properties. A rotated square still has all sides equal and all angles 90°. A rotated rectangle still has opposite sides equal and all angles 90°. Students should verify this by actual measurement after drawing.
Solution Steps
Draw at least 3 rotated squares and rectangles on a dot grid with corners on dots.
For squares: verify all four sides are equal and all four angles are 90°.
For rectangles: verify opposite sides are equal and all angles are 90°.
Use a ruler and protractor to measure, or count dot spacings on the grid.