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Geometry and Trigonometry Flashcards

7 cards from real AST practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Geometry and Trigonometry flashcards as text

  1. What is the area of a circle with radius 6?

    Answer: 36π

    The area of a circle is πr², so π(6)² = 36π.

  2. What is the sum of the interior angles of a pentagon?

    Answer: 540°

    The sum of interior angles of an n-sided polygon is (n−2)×180°, so (5−2)×180° = 540°.

  3. A right triangle has legs of length 3 and 4. What is the length of the hypotenuse?

    Answer: 5

    By the Pythagorean theorem, c = √(3² + 4²) = √(9 + 16) = √25 = 5.

  4. What is the area of a triangle with base 10 and height 6?

    Answer: 30

    The area of a triangle is ½ × base × height = ½ × 10 × 6 = 30.

  5. Two parallel lines are cut by a transversal. Which pair of angles is supplementary?

    Answer: Co-interior (same-side interior) angles

    Co-interior (same-side interior) angles add up to 180° when formed by parallel lines and a transversal.

  6. What is the volume of a cube with side length 4?

    Answer: 64

    The volume of a cube is s³ = 4³ = 64.

  7. A rectangle has a perimeter of 36 and a width of 6. What is its length?

    Answer: 12

    Using P = 2L + 2W: 36 = 2L + 12, so 2L = 24 and L = 12.

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Sources & references

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  1. bsss.act.edu.au — Eligibility, exam format, passing score · verified Oct 2026
  2. bsss.act.edu.au — Test delivery, late registration, retake policy · verified Oct 2026