Angles We Have Heard on High
Middle Children Awareness Club
Shampoos and Conditionals
Line Up
100

Solve for

`x, \angleABD, and \angleDBC`


x=25

`\angleABD=135`

`\angleDBC=45`

100

Find the midpoint of (-4,6) and (7,-8)

`m=((x_1+x_2)/2,(y_1+y_2)/2)`

(3/2,-1)

100

Write the following as a conditional statement. Is it true or false? If false, give a counterexample.

Girls have cooties.

"If you are a girl, then you have cooties."

True!

100

If  `\bar(AC)` is 53, find x,  `\bar(AB), and \bar(BC)` 

x=11, 

`\bar(AB)=18, \bar(BC)=35`

200

Solve for x and y

y=40

x=67

200

In simplest radical form, find the distance between (-4,3) and (2,-1)

`d=\sqrt((x_2-x_1)^2+(y_2-y_1)^2`

`\sqrt52`

`2\sqrt13`

200

Given the sequence of numbers below, write a conjecture that explains the pattern and give the next two numbers.

1, 4, 10, 22, 46, ...

Double and add 2!

2n+2

94, 190

200

Draw an elephant with a santa hat on top


300

Solve for `x, \angleBAC, \angleCAD, and \angleDAE` 


x=3

`\angleBAC=69`

`\angleCAD=21`

`\angleDAE=90`

300

The midpoint of a line is at (3,4). If one of the endpoints is at (1,8), find the other endpoint.

`((x_1+x_2)/2,(y_1+y_2)/2)`

`((1+x)/2=3,(8+y)/2=4)`

(5,0)

300

Write the following as a conditional statement. Is it true or false? Also, give the converse.

Boys don't know basic hygiene.

Conditional: "If you are a boy, then you don't know basic hygiene."

True, no counterexamples in here.

Converse: "If you don't know basic hygiene, then you are a boy."


300

x=7, 

`\bar(LM)=33`