1. The problem asks to identify two words that describe each of the seven triangles based on their angles and side lengths. 2. Important definitions: - Acute triangle: all angles less than 90 degrees. - Obtuse triangle: one angle greater than 90 degrees. - Right triangle: one angle exactly 90 degrees. - Scalene triangle: all sides of different lengths. - Isosceles triangle: at least two sides equal. - Equilateral triangle: all three sides equal. 3. Analyze each triangle: - Triangle 1: isosceles (two equal sides), obtuse (one angle > 90°), scalene is incorrect here since isosceles means at least two equal sides, so scalene is false. Correct description: Obtuse, Isosceles. - Triangle 2: scalene (no equal sides), obtuse (one angle > 90°). - Triangle 3: scalene, acute (all angles < 90°). - Triangle 4: isosceles, acute. - Triangle 5: equilateral (all sides equal), acute. - Triangle 6: right (one 90° angle), isosceles (two equal sides). - Triangle 7: right, scalene. 4. Final answers: - Triangle 1: Obtuse, Isosceles - Triangle 2: Obtuse, Scalene - Triangle 3: Acute, Scalene - Triangle 4: Acute, Isosceles - Triangle 5: Acute, Equilateral - Triangle 6: Right, Isosceles - Triangle 7: Right, Scalene