Warmup

Arrange the following pieces of the story in order based on logic

a.) I went shopping an hour away from home

b.) I had the breaks checked in my car to make sure it was safe to drive

c.) I had to deposit my paycheck

d.) I had to withdraw cash from the bank to make sure I could pay the mechanic a deposit prior to service

2.4/2.5: Mathematical reasoning, an intro to

proofsLEQ: How do we write formal proofs using proper

mathematical reasoning?

Make foldable using textbooks, p. 103

Give reasons for the following steps:

5x+5=105x=5 x=1

x+y=z and z=19x+y=19

10=x/440=xx=40

Given

Subtraction PropertyDivision Property

Given

Substitution/Transitive

Given

Multiplication P.Symmetric P.

Ex. 1: Prove that m<x=43

x

2x+10O

A

C

B

Given: m<AOC=139

Statements: Reasons:

Ex. 2: Prove x=20.Given: Ray LM bisects<KLN.Statements: Reasons:

2x+40

4x

M

L

K

N

HWK

P. 106◦3-23 all

My mom, gram, and I used to go to Hoss’s on Saturdays. Since I’m an employee, I get 20% off as well as my family. One manager takes 20% off the whole check (which includes all our meals) and another takes 20% each individual’s check and then we pay altogether. Which is the better deal?

Hwk Answers

Hwk Solutions

2.5: Proving angles congruent.

Prove that vertical angles are congruent.Statements Reasons

Ex: Prove if 2 angles are congruent and supplementary, then each angle is 90⁰.

Statements Reasons

Hwk: Proof worksheet