The sigma math Jeopardy (Named by Holli)

Coplanar/Collinear

100

Are these points Collinear or noncollinear?

(5,-3) (12, -3) (47, -3)

Collinear

200

Are these points Collinear or noncollinear?

(10, 4) (15, 37) (2, 4)

Noncollinear

300

Are these points Coplanar or noncoplanar?

(Look at the bit of paper)

coplanar

Midpoint

100

Find the midpoint

(5, 7) (12, 35)

(8.5, 21)

200

Find the midpoint

(20, 36) (15, 27)

(17.5, 31.5)

300

Find the midpoint

(107, 176) (230, 636)

(168.5, 406)

Distance Formula

100

Find the distance between points: (Round to nearest tenth)

(2, 1) (6, 9)

8.9 units

200

Find the distance between points: (Round to nearest tenth)

(5, -2) (6, 7)

9.1 units

300

Find the distance between points: (Round to nearest tenth)

(5.7, 2.3) (7.6, 6.7)

4.8 units

Section Formula

100

Find B on AC such that the ratio of BA to BC is 7:10 (Simplify to nearest tenth)

A(5, 12) C(4, 8)

B(4.6, 10.4)

200

Find E on DF such that the ratio of ED to EF is 6:4 (Simplify to nearest tenth)

D(-5, 3) F(-4, 8)

E(-4.4, 6)

300

Find H on GI such that the ratio of HG to HI is 6:4 (Simplify to nearest tenth)

G(-9, -7) I(-1, 1)

H(-4.2, -2.2)

Fractional Distance Formula

100

Find F on JK that is 3/4 of the distance between J and K (Round to nearest tenth)

J(5, 3) K(-2, 7)

F(-0.3, 6.0)

200

Find Y on ZX that is 1/4 of the distance between Z and X (Round to nearest tenth)

Z(5, 2) X(9, 1)

Y(6, 1.8)

300

Find F on KC that is 5/9 of the distance between K and C (Round to nearest tenth)

K(3, 5) C(1, 2)

F(1.9, 3.3)