1. The problem asks to categorize six triangles based on their angles: acute, obtuse, or right. 2. Recall the definitions: - Acute triangle: all angles less than 90°. - Obtuse triangle: one angle greater than 90°. - Right triangle: one angle exactly 90°. 3. Analyze each shape based on the given positions and angle descriptions: - Shape 1: right triangle (one right angle at bottom-right). - Shape 2: obtuse triangle (one angle > 90°). - Shape 3: right triangle (one right angle). - Shape 4: obtuse triangle (one angle > 90°). - Shape 5: acute triangle (all angles < 90°). - Shape 6: acute triangle (all angles < 90°). 4. Assign shapes to categories: - Triangles with all acute angles: Shapes 5, 6 - Triangles with an obtuse angle: Shapes 2, 4 - Triangles with one right angle: Shapes 1, 3 5. Final categorization: - Acute: 5, 6 - Obtuse: 2, 4 - Right: 1, 3