Geometry and Algebra Concepts Quiz

Triangle Angle Sum

• The sum of the interior angles of any triangle is always 180 degrees.

Circle Area

• The formula for calculating the area of a circle is: πr², where 'π' represents the mathematical constant pi (approximately 3.14159) and 'r' is the radius of the circle.

Quadratic Discriminant

• The discriminant, represented by the symbol Δ, is a part of the quadratic formula used to solve equations in the form ax² + bx + c = 0.
• It is calculated as: Δ = b² - 4ac.
• The value of the discriminant determines the nature of the roots (solutions) of the quadratic equation:
  • If Δ > 0, the equation has two distinct real roots.
  • If Δ = 0, the equation has one real root (a double root).
  • If Δ < 0, the equation has no real roots (two complex roots).

Line Slope

• In coordinate geometry, the slope of a line represents the rate of change of the vertical component (y-coordinate) with respect to the horizontal component (x-coordinate).
• Slope is often denoted by the letter 'm' and calculated as the ratio of the change in y to the change in x (rise over run): m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two distinct points on the line.

Parallelogram Attributes

• A parallelogram is a quadrilateral with two pairs of parallel sides.
• Although opposite sides are equal in length and opposite angles are equal in measure, all angles are NOT necessarily equal in a parallelogram.