Geometry and Statistics Jeopardy

Triangle Angle Sum

100

If one angle of a triangle is 65, and another is 57, what is the measure of the third angle?

58

200

If angle A of a triangle is 40 degrees, and angle B is 90 degrees, what is the measure of angle C?

50

300

If angle A of a triangle is 102, and an exterior angle connected to angle B is 137, what is the measure of angle C?

35

400

If angle A of a triangle is 55, angle B is x+74, and angle C is 54, what is X?

X= -3

500

If angle A of a triangle is x+23, angle B is 80, and an exterior angle connected to angle C is 4x+17, what is the measure of X?

X=26

Trigonometric Ratios

100

If the opposite of angle Z is 21, and the adjacent is 28, what is tan(Z)

3/4

200

If the adjacent of angle C is 16, and the hypotenuse is 34, what is cos(C)

8/17

300

Can the sine of an angle ever equal 2? Why or why not?

No, the sine of a real angle can never equal 2. In any right triangle, the hypotenuse is always the longest side. Because the denominator (hypotenuse) is always larger than the numerator (opposite side), the fraction can never be greater than 1.

400

sin 48° to the nearest thousandth

0.7431

500

sin x = 1/3 Find cos x in decimal form to the nearest hundredth.

0.94

Simplifying Square Roots

100

Simplify \/^---₉₆

4/^---₆

200

Simplify \/^---₂₁₆

6/^---₆

300

Simplify 10\/^---96

40\/^---₆

400

Simplify 3\/^---₉₀₀

90

500

Simplify 7\/^---₂₅₃₅

91\/^---₁₅

Pythagorean Theorem

100

If the first side of a triangle is 4mi, and the second side is 3mi, what is the length of the hypotenuse?

5mi

200

If one side of a triangle is 12in, and the hypotenuse is 13in, what is the length of the other side?

5in

300

If one side of a triangle is 11.9cm, and the hypotenuse is 14.7cm, what is the length of the other side?

8.6cm

400

If the hypotenuse of a triangle is 15yd, and another side is 13yd, what is the length of the other side in its simplest radical form?

2\/^---₁₄

500

If side A of a triangle equals 11m, and side C of a triangle equals 15m, what is side B?

2\/^---₂₆

Triangle Inequality Theorem

100

Can these numbers be sides of a triangle?

7, 5, 4

Yes

200

Can these numbers be sides of a triangle?

3, 6, 2

No

300

Can these numbers be sides of a triangle?

8, 2, 8

Yes

400

Find the range of the possible measures of the third side of a triangle if the two sides of the triangle have these measures:

9, 5

4 < x < 14

500

Find the range of the possible measures of the third side of a triangle if the two sides of the triangle have these measures:

5,8

3 < x < 13