Geometry Jeopardy Project

Trigonometry

100

In ΔJKL, k = 6.7 inches, m∠Q=27° and m∠R=7°. Find the length of j, to the nearest 10th of an inch.

j = 8.0 inches

200

In ΔXYZ, y = 7.7 inches, z = 9 inches and ∠X=98°. Find the length of x, to the nearest 10th of an inch.

12.6 inches

300

In ΔSTU, s = 570 inches, t = 430 inches and u=770 inches. Find the measure of ∠U to the nearest degree.

100∘

Sequence and Series

100

Geometric Sequences have a ______ ratio.

common/constant

200

Find the common difference of the arithmetic sequence 21, 18, 15,...

3

300

Find the 67th term of the arithmetic sequence 7, 2, -3,...

-323

Polar, Vector, Parametric

100

Vector y has an initial point of (9,-4) and a terminal point of (-1,-2).

Find component form of y.

(x₂ - x₁, y₂ - y₁)→(-1 - 9, -2 - (-4))→(-8, -3)

200

Whats the rectangular equation of r = 7/sin0.

y = 7

300

Convert the point (3, π/3) from polar to rectangular coordinates. 

(3/2, 3 sqrt of 3/2)

Limits

100

f(x) = x² + x - 8/x² - x - 4

Find x→−0−lim f(x)

2

200

Evaluate.

limx→7 x² - 5x - 25/x² - 8x + 32

-25/17

300

Evaluate.

limx→8 2x² - 15z + 9/9 - z

z² - 48

Derivative

100

Find f′(x).

f(x) = 8x⁴ + 7

 f′(x) = 32x³

200

Evaluate f′(1).

f(x) = -2x⁵ - 4x²

-18

300

Let f(x) = 7x² + 2.

Use the limit definition of the derivative to find f′(x).

 f′(x) = 14x