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12 multiple-choice questions and 15 flashcards on Constructing Geometric Figures (Triangles, Unique vs Multiple), about 8% of the 7th Math: Geometry bank. Every one carries a written rationale.
Constructing Geometric Figures (Triangles, Unique vs Multiple) is one of 6 chapters in CoStudy's 7th Math: Geometry bank, and it holds 12 of the bank's 150 multiple-choice questions — roughly 8% 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.
3 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.
What is the area of a triangle with base 10 cm and height 6 cm?
Answer: D — 30 cm²
A = (1/2)bh = (1/2)(10)(6) = 30 cm². (A) forgot the 1/2; (C) added base + height × 2; (B) arithmetic.
The side lengths 3, 4, 5 form what triangle?
Answer: D — A right triangle
D) 3² + 4² = 5² — Pythagorean triple. A) Triangle inequality holds. B) Sides differ. C) No two sides equal.
Given two angles 40° and 70° and the included side 6, how many triangles can be formed?
Answer: A — Exactly one (ASA)
A) ASA uniquely fixes the triangle. B) Triangle exists. C) No ambiguity. D) The angles + side fully determine the triangle.
4 cards from the 15 in this chapter.
Can you make a triangle with sides 5, 7, and 9?
Yes. 5+7 = 12 > 9; 5+9 > 7; 7+9 > 5.
What's the 'triangle inequality theorem'?
The sum of any two sides of a triangle must be greater than the third side.
Circumference formula?
C = 2πr (or πd).
In a quadrilateral, what's the sum of interior angles?
360°.
These are a sample. The full Constructing Geometric Figures (Triangles, Unique vs Multiple) chapter runs 27 items with per-chapter progress tracking, on the web and in the iOS app.
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