Algebra
Angles
Statements/Reasons
Reason words
Picture
100

4x = 20

then

x = 5

What is "Division P.O.E." 
100

this is the number of degrees in a straight angle

What is 180 degrees

100

On the right side of the proof, 1 is always _______.

What is given

100

32 = x

so...

x = 32

What is "Symmetric P.O.E."

100

Based on picture A, what Reason can I write? 

What is "definition of vertical angles" 

200

1. 4(x-3) = 5x-20   l   1. given

2. 4x-12 = 5x-20   l    2. ________


What is "Distributive Property"

200

This term means the angles form a straight line

What is a linear pair

200

Complete the statement below. 

2.  ∠T   ____   ∠S   l  2. def. of vertical angles

What is " ≅ "

200

AC + BD = 180

EF + GH = 180

then

AC + BD = EF + GH

What is "substitution property or transitive property"

200

What reason can I write based on picture B? 

What is "definition of a linear pair" 
300

1. 11x-20 = 4x+50   l    1. given

2. 7x-20 = 50          l     2. ___________

What is "Subtraction P.O.E."

300

This term means the angles add up to 180 degrees

What is supplementary

300


1. ∠R and ∠T are supplementary.     l     1. given

2. _____________________           l     2. Def. of supplementary

what is " m∠R + m∠T = 180"

300


AC = AC

What is "reflexive property"

300

Based on Picture C, what statement and reason can I write? 

What is "2. ∠3 and ∠4 are supplementary   l  2.def. of a linear pair "

400

If 5x+14 and x = 3, then 5(3)+14

What is "Substitution property" 
400

This term means that angles together add up to 90 degrees

What is complementary

400

What statement comes next if this is written : 

∠ABC ≅ ∠LMN

m∠ABC = m∠LMN

400


Which mathematical reasons need to have "Property of Equality" 

What is " Addition, Subtraction, Multiplication, Division"

400

Based on Picture D, I can write what statement and reason? 

What is "2. ∠5 ≅ ∠7    l     2. def. of vertical angles"

500

These angles across from each other are formed by two intersecting lines

What are vertical angles

500

What is the reason for this statement?


1. ∠ABC   ≅    ∠DEF     l      1. Given 

2. m∠ABC = m∠DEF      l       2. __________

What is definition of congruent 

500

∠ABC + ∠MLP = ∠ABC + ∠STR

Then 

∠MLP = ∠STR

What is " Subtraction P.O.E."