Geometría y Trigonometría

Subtemas

Area and volume

Area of triangles, rectangles, circles, trapezoids. Volume of boxes, cylinders, cones, and spheres.

Lines, angles, and triangles

Parallel lines cut by a transversal, angle sum in triangles, similar and congruent triangles.

Right triangle trigonometry

SOH-CAH-TOA, 30-60-90 and 45-45-90 special triangles, the Pythagorean theorem.

Circles

Circumference, area, arc length, sector area, central angles, and inscribed angles.

Coordinate geometry

Distance and midpoint formulas, the equation of a circle, parabolas in the coordinate plane.

a² + b² = c² (Pythagorean theorem)

A = ½bh (area of a triangle)

A = πr² (area of a circle)

C = 2πr (circumference)

L = (θ/360) × 2πr (arc length)

V = πr²h (volume of a cylinder)

sin θ = opp/hyp, cos θ = adj/hyp, tan θ = opp/adj

Draw and label diagrams for every geometry problem.
Memorize 30-60-90 and 45-45-90 ratios; they appear in nearly every test.
Arc length and sector area are proportional to the central angle divided by 360.
For right-triangle trig, correctly identify opposite, adjacent, and hypotenuse relative to the reference angle.