1. **Problem Statement:** Identify three pairs of lines that are parallel, three pairs that are perpendicular, and three pairs that intersect but are not perpendicular. Then find the points of intersection for pairs CH & AG, CH & EF, and CH & BH. 2. **Parallel Lines:** From the description, vertical lines AB, EF, and GH are parallel. Horizontal lines AG and BH are parallel. Three pairs of parallel lines: - AB and EF - EF and GH - AG and BH 3. **Perpendicular Lines:** Right-angle marks indicate: - AB ⟂ AG - AB ⟂ BH - EF ⟂ AG - EF ⟂ BH - GH ⟂ AG - GH ⟂ BH Three pairs of perpendicular lines: - AB and AG - EF and BH - GH and AG 4. **Intersecting but not Perpendicular:** Lines that intersect but are not perpendicular include: - CH and AG (intersect at C, not perpendicular) - CH and EF (intersect at D, not perpendicular) - CH and BH (intersect at H, not perpendicular) 5. **Finding Points of Intersection:** - CH and AG intersect at point C. - CH and EF intersect at point D. - CH and BH intersect at point H. These points are given by the problem description. **Final answers:** - Parallel pairs: AB & EF, EF & GH, AG & BH - Perpendicular pairs: AB & AG, EF & BH, GH & AG - Intersecting but not perpendicular: CH & AG, CH & EF, CH & BH - Points of intersection: - CH & AG: C - CH & EF: D - CH & BH: H