Tools of Geometry (Unit 1)

Segment Addition

100

What is the segment addition postulate?

If A, B, and C are collinear, and B is in between A and C, then AB+BC=AC

200

If AB=5 and BC=6, then what is AC?

11

300

If AB=7 and BC=3x+2, and AC=18, then what is x?

3

400

If AB=8, and AC=20, then what is BC?

12

500

If AB=3x, BC=2x-4, and AC=6x-20, then what does x equal as well as what is the length of AC

X=16, AC= 76

Midpoint

100

What is the midpoint formula for 2 numbers on a number line?

(a+b)/2

200

What is the midpoint formula for two coordinates?

((x₁+x₂)/2), ((y₁+y₂)/2) 

300

What is the midpoint between 2 and 8?

5

400

What is the midpoint between (1,3) and (5,11)?

(3, 7)

500

What is the midpoint between (-4.5,-7) and (2.5, 2)

(-1, -2.5)

Distance

100

What is the formula for distance?

Square root of (x₂-x₁)²+(y₂-y₁)²

200

Find the distance between -2 and 10 on a number line

12

300

Find the distance between (0,2) and (1,1) and round to the nearest tenth

1.4

400

Find the distance between (-2,4) and (5,7)

7.6

500

Find the distance between (-2.5, 4) and (3, -7)

12.3

Midpoint and Segments

100

If Y is the midpoint of the segment XZ and XY=4, then what does YZ equal?

4

200

If Y is the midpoint of XZ, and XY=2x and XZ=12, find the length of XY

6

300

If Y is the midpoint of XZ, and XZ=22, what is XY?

11

400

If (5,10) is the midpoint of a segment, and one endpoint is (2,6), what is the other endpoint?

(8, 14)

500

If (-2, -7) is the midpoint of a segment, and (3, -8) is one endpoint then what is the other endpoint?

(-7, -6)

Random Trivia

100

Which country invented ice cream?

China

200

How many hearts does an octopus have?

3

300

What was the first soft drink in space?

Coca Cola

400

What year was the first iPhone released?

2007

500

What is the lightest planet?

Saturn (It's so light that it  would float in water)