Geometry

Cards (10)

• 1
  Front

  What does the Pythagorean theorem state about a right triangle with legs a and b and hypotenuse c?

  Back

  a² + b² = c², where c is the hypotenuse (the side opposite the right angle).

• 2
  Front

  What are the three undefined terms in Euclidean geometry?

  Back

  Point, line, and plane. They are accepted without formal definition and serve as the foundation for all other geometric concepts.

• 3
  Front

  What is the SAS (Side-Angle-Side) triangle congruence postulate?

  Back

  If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

• 4
  Front

  What condition distinguishes triangle similarity from triangle congruence?

  Back

  Similar triangles have equal corresponding angles and proportional corresponding sides, while congruent triangles have equal corresponding angles AND equal corresponding sides.

• 5
  Front

  What is the formula for the area of a circle with radius r?

  Back

  A = πr²

• 6
  Front

  What is the relationship between a central angle and its intercepted arc in a circle?

  Back

  A central angle is equal in measure to its intercepted arc (e.g., a 60° central angle intercepts a 60° arc).

• 7
  Front

  What is the formula for the volume of a sphere with radius r?

  Back

  V = (4/3)πr³

• 8
  Front

  How is the slope of a line calculated in coordinate geometry given two points (x₁, y₁) and (x₂, y₂)?

  Back

  Slope m = (y₂ − y₁) / (x₂ − x₁), provided x₂ ≠ x₁.

• 9
  Front

  What does the AA (Angle-Angle) similarity postulate state?

  Back

  If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

• 10
  Front

  What is the formula for the volume of a right circular cylinder with radius r and height h?

  Back

  V = πr²h