Keep a Whole Image Undistorted

Supplied materials

• Paper and a pencil, typed notes or a browser scratch area. Color names can replace colored supplies; drawn figures and timelines can replace performance.
• Complete teaching inputs: A complete original image is two units wide and seven high. Double both dimensions without cropping or distortion. Which complete output fits? Supplied candidates: (A) 2 by 14 (B) 4 by 14 (C) 4 by 7 (D) 5 by 14.
• Independent check: An original rectangular frame is 4:3. The brief asks for a full-image enlargement with no cropping and equal scale in both directions. Which output fits? Supplied candidates: (A) 4 by 6 (B) 8 by 3 (C) 8 by 6 (D) 9 by 6.

Learn the idea

Treat composition as a set of decisions you can test. Account for unmarked space, preserve a complete image’s ratio, choose framing from a narrative purpose and compare thumbnails against an explicit design criterion. A whole-image resize retains every part and applies one factor to both dimensions. A crop may change what is shown, so distinguish it from a complete undistorted resize.

Reason through the supplied case: The same factor must multiply both dimensions: 2×2=4 and 7×2=14. The new ratio 4:14 reduces to 2:7. Scaling only one dimension or adding an extra width unit changes the complete image’s original proportion.

An intentional crop can serve another brief. For this task, preserve the whole image; stretching a single dimension or silently removing content breaks the stated requirement.

1. Read the complete teaching inputs and mark the feature, rule or constraint being tested.
2. Compare the model decision with one rejected candidate; state the visible evidence or calculation that distinguishes them.
3. Solve the independent check and the three changed-input practice cases before reading feedback.
4. Double the width and height of a three-by-five image using a grid diagram.
5. Check your artifact against these explicit criteria: The complete image becomes six by ten, with both dimension factors equal to two.

Check your reasoning

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Take it further

New-input analysis: A seven-by-four original image must be enlarged by factor 3 in both directions, with no cropping. Which complete frame preserves its aspect ratio? Supplied candidates: (A) 21 by 12 (B) 21 by 4 (C) 22 by 12 (D) 7 by 12. Expected relationship: 21 by 12. Both width and height must use the same factor:7×3=21 and 4×3=12. The ratio 21:12 reduces to 7:4. Scaling only one dimension or adding another width unit distorts the stated relationship. Create your own artifact: Double the width and height of a three-by-five image using a grid diagram. Completion criteria: The complete image becomes six by ten, with both dimension factors equal to two.

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