QUIZ 1.3-1.5 Reasoning, Midpoint & Distance

Deductive reasoning means...

• Guessing

• Ura nok seblu!

• Testing and observing patterns to make conjectures

• Making general observations of facts, theorems and applying them to specific situations.

IF 3...6...9...12...
AND 24...27...30...?
THEN the next term is going to be 33

• Inductive
• Deductive

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

IF All even numbers are divisible by 2
AND 28 is even
THEN 28 is divisible by 2

• Inductive
• Deductive

What is a counterexample?

• A generalism that cannot be applied to a specific case

• A specific case that help to prove a conjecture

• A general case that is supported by specific examples

• A specific case for which a conjecture is false

Which is a counterexample to the following statement?

If an angle is obtuse, then it is $125\degree$ .

•  $90\degree$  

•  $57\degree$  

•  $160\degree$  

•  $180\degree$  

Tags

CCSS.HSG.CO.A.1

The point in the middle of a line segment is called the _____________.

Which of the following would you use to determine the midpoint between two points on a graph?

• $\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$

• $y=mx+b$

• $a^2+b^2=c^2$

• $d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

Which of the following would you use to determine the distance between two points on a graph? Select ALL that apply.

• $\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$

• $y=mx+b$

• $a^2+b^2=c^2$

• $d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

•  $AB\ +\ BC\ =\ AC$  

What is the midpoint of the line segment shown?

Remember to write your answer as a point. Do NOT use spaces between characters. Write your answer as a decimal. Just write the answer...no need for a complete sentence.

What is the length of the line segment shown?

Write your answer as a decimal, rounded to the nearest hundredth. Just write the answer...no need for a complete sentence.