Compare Equal Marked Patches

Supplied materials

• Paper and a pencil for two equal patches of same-width lines. You can also write the line counts.
• Read this example: A drawing model treats more same-width hatch lines per equal patch as darker value. Patch A has 2 lines; B has 4. Which follows that model? Supplied candidates: (A) A is darker because it has fewer lines (B) B is darker because it has 2 more lines per equal patch (C) Both must have identical value (D) The number of lines determines the object’s real material.
• Try this question: A drawing model treats more same-width hatch lines per equal patch as darker value. Patch A has 3 lines; B has 6. Which follows that model? Supplied candidates: (A) A is darker because it has fewer lines (B) B is darker because it has 3 more lines per equal patch (C) Both must have identical value (D) The number of lines determines the object’s real material.

Learn the idea

Hatching uses repeated lines to suggest light and dark values. In this drawing model, patches have equal areas and lines have equal widths. More lines then leave less unmarked space.

Reason through the supplied case: Compare equal areas and equal line widths. B has 4−2=2 additional lines, so it has less unmarked space in the supplied model. This explains represented value, not actual material texture.

Hold the comparison conditions fixed. A line count alone cannot establish value if width, area or material changes, and represented value does not identify actual surface material.

1. Read the hatching rule. Check that the two patches have equal areas and the lines have equal widths.
2. Compare four lines with two lines and explain why the extra lines leave less blank space in patch B.
3. Try the question and all three practice questions before checking their answers.
4. Make two equal patches using the same line width, one with four hatch lines and one with eight.
5. Check your work: The denser patch has four more lines; the explanation keeps area and line width equal.

Check your reasoning

Your answer is temporary and is not saved to an account. Download your current answer before leaving or reloading. Written work on paper or in another app stays in your own file.

Take it further

Try one more question: A drawing model treats more same-width hatch lines per equal patch as darker value. Patch A has 9 lines; B has 14. Which follows that model? Supplied candidates: (A) A is darker because it has fewer lines (B) B is darker because it has 5 more lines per equal patch (C) Both must have identical value (D) The number of lines determines the object’s real material. Answer: B is darker because it has 5 more lines per equal patch. Compare equal areas and equal line widths. B has 14−9=5 additional lines, so it has less unmarked space in the supplied model. This explains represented value, not actual material texture. Now make your own work: Make two equal patches using the same line width, one with four hatch lines and one with eight. Check your work: The denser patch has four more lines; the explanation keeps area and line width equal.

Nothing here is saved to an account or sent to a teacher. The answer download includes your current choice and any checked feedback. It does not include choices from the separate More practice section. Download that section separately.