Subjects geometry

Parallel Lines 6Ae4Dd

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1. **Stating the problem:** Identify which two lines among m, n, o, p, and q are parallel based on the given figure and definitions. 2. **Definition:** Parallel lines are lines in the same plane that do not meet, no matter how far they are extended. 3. **Analyzing options:** - A. Lines m and o: From the figure, these lines appear to be slanting differently and may intersect. - B. Lines n and p: These lines appear to be aligned in such a way that they do not meet. - C. Lines m and q: These lines seem to be at different angles and may intersect. - D. Lines p and q: These lines appear to be at different angles and may intersect. 4. **Conclusion:** The pair that fits the definition of parallel lines is **n and p**. **Final answer:** B. n and p --- 1. **Stating the problem:** Determine which solid shape corresponds to the top view showing 3 squares in a row. 2. **Analyzing options:** - A. Bottom row has 2 cubes side by side on left, then 1 cube above the right cube: This would show 2 squares side by side and 1 above, not 3 in a row. - B. A 3x2 vertical block (3 cubes wide, 2 cubes high): The top view would show 3 squares in a row. - C. A 3x1x2 block (3 cubes wide, 1 cube deep, 2 cubes high): The top view would show 3 squares in a row. - D. A 3x3x3 cube block: The top view would show 9 squares in a 3x3 grid, not 3 in a row. 3. **Conclusion:** Both B and C show 3 squares in a row from the top view, but B is 3 wide and 2 high (height does not affect top view), C is 3 wide, 1 deep, 2 high (depth affects top view). Since the top view is 3 squares in a row, the depth must be 1, so option C fits best. **Final answer:** C. Shape with cubes: a 3x1x2 block (3 cubes wide, 1 cube deep, 2 cubes high)