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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 slope of a line passing through the points (2, 3) and (6, 11)?

    Answer: 2

    Slope = (y₂−y₁)/(x₂−x₁) = (11−3)/(6−2) = 8/4 = 2.

  2. What is the distance between the points (1, 1) and (4, 5)?

    Answer: 5

    Distance = √((4−1)² + (5−1)²) = √(9 + 16) = √25 = 5.

  3. What is the midpoint of the segment connecting (0, 4) and (6, 2)?

    Answer: (3, 3)

    Midpoint = ((0+6)/2, (4+2)/2) = (3, 3).

  4. What is the slope of a line perpendicular to y = 2x + 5?

    Answer: −½

    Perpendicular slopes are negative reciprocals; the negative reciprocal of 2 is −½.

  5. The equation x² + y² = 25 represents a circle with what radius?

    Answer: 5

    The standard circle equation is x² + y² = r², so r = √25 = 5.

  6. A line has the equation y = −3x + 7. What is the y-intercept?

    Answer: 7

    In slope-intercept form y = mx + b, the y-intercept is b = 7.

  7. What is the x-intercept of the line 2x + 3y = 12?

    Answer: (6, 0)

    Setting y = 0: 2x = 12, so x = 6, giving the point (6, 0).

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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