can you explain the steps!
On the left column you say what you are proving-
On the right column you say your proof to that-
For example if you were proving that ABC was a right triangle
Angle ABC= 90* | Given
Angle ABC is a right angle | Right angles measure 90*
Triangle ABC is a right triangle| Right Triangles have one right angle
Thats a very basic and shortcutty proof but u should get the idea
Prove: Vertical angles are equal...| Have
Given: Straight lines AB and CD...| Picture
............ intersecting at point E........| of the intersecting
Prove: angleAEC=angle BED.......|lines in
............angle CEB = angleAED......| this space
Proof:
------------------------------------------------------------------------------------
..............STATEMENTS..........................REASONS
------------------------------------------|------------------------------------------
1, L1 is a straight line................| 1. Given.
2. Thus angle AEB = 180..........|2. Definition of straight angle
------------------------------------------|-----------------------------------------
3. angle AEC+angleBEC=180 |3. angle addition
-------------------------------------------|-----------------------------------------
4.CD is a straight line.................|4.Given
5 Thus angle CED = 180...........|5.Definition of straight angle
6. angle AEC+angleAED=180 .|6 Angle addition
--------------------------------------------|----------------------------------------
7.<AEC+<AED=<AEC+<BEC..|7 . Substitution Axiom
8. Thus <AED = <BEC................|8 Subtraction Property
------------------------------------------------------------------------------------9. In like manner it can be proven that angle AEC angle BED
------------------------------------------------------------------------------------Q.E.D.
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Verified answer
On the left column you say what you are proving-
On the right column you say your proof to that-
For example if you were proving that ABC was a right triangle
Angle ABC= 90* | Given
Angle ABC is a right angle | Right angles measure 90*
Triangle ABC is a right triangle| Right Triangles have one right angle
Thats a very basic and shortcutty proof but u should get the idea
Prove: Vertical angles are equal...| Have
Given: Straight lines AB and CD...| Picture
............ intersecting at point E........| of the intersecting
Prove: angleAEC=angle BED.......|lines in
............angle CEB = angleAED......| this space
Proof:
------------------------------------------------------------------------------------
..............STATEMENTS..........................REASONS
------------------------------------------|------------------------------------------
1, L1 is a straight line................| 1. Given.
------------------------------------------|------------------------------------------
2. Thus angle AEB = 180..........|2. Definition of straight angle
------------------------------------------|-----------------------------------------
3. angle AEC+angleBEC=180 |3. angle addition
-------------------------------------------|-----------------------------------------
4.CD is a straight line.................|4.Given
-------------------------------------------|-----------------------------------------
5 Thus angle CED = 180...........|5.Definition of straight angle
-------------------------------------------|-----------------------------------------
6. angle AEC+angleAED=180 .|6 Angle addition
--------------------------------------------|----------------------------------------
7.<AEC+<AED=<AEC+<BEC..|7 . Substitution Axiom
--------------------------------------------|----------------------------------------
8. Thus <AED = <BEC................|8 Subtraction Property
------------------------------------------------------------------------------------9. In like manner it can be proven that angle AEC angle BED
------------------------------------------------------------------------------------Q.E.D.