Download presentation

Presentation is loading. Please wait.

Published byDevin Schmitt Modified over 3 years ago

1
**Sec 2-5 Concept: Reasoning with Properties from Algebra**

Objective: Given properties from Algebra, justify segment and angle relationships as measured by a s.g

2
**c+cr = n -c -c cr = n-c c c r = n-c c**

Example 1: Pay Raises. Suppose your receive a pay raise at work. You can calculate your percent increase by using the pay raise formula c(1+r) = n, where c is your current wage (in dollars per hour), r is your percent increase (as a decimal) and n is your new wage ( in dollars per hour) Solve the formula for r and write a reason for each step C(1+r) = n Given c+cr = n Distributive Property -c c cr = n-c Subtraction Property c c r = n-c c Division Property

3
**Example 1 cont. : Pay Raises. Suppose your receive a pay raise at work**

Example 1 cont.: Pay Raises. Suppose your receive a pay raise at work. You can calculate your percent increase by using the pay raise formula c(1+r) = n, where c is your current wage (in dollars per hour), r is your percent increase (as a decimal) and n is your new wage ( in dollars per hour) Use result from the previous page to find your percent increase if you current wage is $10.00 and your new wage will be $10.80 r = n-c c r= 10.00 r= .08 or 8%

4
**Example 2: Use the property to complete the statement**

1. Transitive Property of Equality: If BC=CD and CD = EF, then _______ BC = EF 2. Subtraction Property of Equality: If PQ+ST=RS+ST then, ________ PQ = RS

5
**Example 3: Solve the equation and state a reason for each step**

Given q= 4 Subtraction property

6
**Example 3cont: Solve the equation and state a reason for each step**

-2(-w+3)=15 Given 2w-6 =15 Distributive Property +6 +6 2w = 21 Addition Property w = 10.5 Division Propery

7
Example 4

8
**Example 5 Show that the perimeter of triangle ABC is equal to the perimeter of triangle ADC**

Reason: Equation: Explanation: AD = CB DC=BA AC=AC AD+DC=CB+DC AD+DC=CB+BA AD+DC+AC=CB+BA+AC

9
Today’s Work In Class: HW:

Similar presentations

Presentation is loading. Please wait....

OK

Reasoning With Properties of Algebra

Reasoning With Properties of Algebra

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on the history of space flight Ppt on eisenmenger syndrome lungs Free ppt on air conditioner Ppt on windows 7 features Free ppt on brain computer interface Ppt on vlsi layout designing Ppt on biodegradable and non biodegradable example Ppt on depletion of ozone layer in australia Ppt on do's and don'ts of group discussion activities Ppt on working of human eye and defects of vision and their correction