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11 multiple-choice questions and 19 flashcards on Scale Drawings and Geometric Figures, about 7% of the 7th Math: Geometry bank. Every one carries a written rationale.
Scale Drawings and Geometric Figures is one of 6 chapters in CoStudy's 7th Math: Geometry bank, and it holds 11 of the bank's 150 multiple-choice questions — roughly 7% of the total. That proportion is not arbitrary: chapters follow the certifying body's published exam outline, and the number of questions in each is set by that domain's published weight, so the share of your practice time this chapter takes matches the share of the real exam it accounts for.
Studying by chapter is worth doing once you have a diagnostic score. A single overall percentage tells you whether you are close; it does not tell you which domain is dragging. Working a weak chapter in isolation, and re-testing it in isolation, is the fastest way to move a score that has stalled — and it is why the mock exams in CoStudy report by domain rather than as one number.
7 questions drawn from this chapter, with the full rationale shown — the controlling principle behind the right answer, and why each wrong option tempts and fails.
A scale-drawing scale factor of 2 means each real length is:
Answer: A — Half the drawing
A) Scale factor (drawing : real) = 2 means drawing is 2× the real, so real = half the drawing. B) Reverses direction. C) Equal only if k = 1. D) That's the area scale.
Two similar triangles have linear scale factor k = 5. The ratio of their perimeters is:
Answer: D — 5:1
D) Perimeters scale linearly with k. A) That's congruent figures. C) That's area ratio. B) Inverted.
A model car has scale 1:24. Its length on the model is 18 cm. Real car length:
Answer: D — 432 cm
D) 18 · 24 = 432 cm. A) Ignored scale. C) Used scale alone. B) Added 18 + 24.
True or false: similar figures are always congruent.
Answer: B — False — similar requires same shape only
B) Similar means same shape (proportional sides); congruent additionally means same size. A) Common misconception. C) Orientation does not affect similarity. D) Only k = 1 makes them congruent.
On a map, two cities are 6.5 cm apart at scale 1 cm = 20 km. Actual distance:
Answer: A — 130 km
A) 6.5 · 20 = 130 km. B) Used 6.5 + 20-style error. C) Used 6.5 · 10. D) Forgot decimal.
A scale drawing uses 1 cm : 4 m. A path is 13 cm on the drawing. Real length:
Answer: A — 52 m
A) 13 · 4 = 52 m. B) Ignored scale. C) Used scale unit alone. D) Added 13 + 4.
A scale of 1 cm = 2 m means a 6 cm line represents:
Answer: B — 12 m
B) 6 · 2 = 12 m. A) Same number. C) Off by an order of magnitude. D) Used the scale value alone.
4 cards from the 19 in this chapter.
What are 'alternate interior angles'?
On opposite sides of a transversal, between two parallel lines. EQUAL.
A scale model has scale 1 cm : 4 m. A wall is 6 cm in the model. Real length?
24 m.
What are 'vertical angles'?
Pairs of opposite angles formed by intersecting lines. They are EQUAL.
What is a 'scale factor'?
The ratio of corresponding lengths in a scale drawing to the real object.
These are a sample. The full Scale Drawings and Geometric Figures chapter runs 30 items with per-chapter progress tracking, on the web and in the iOS app.
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