Mathematics
Grade9
Easy

Question

What is the reason for statement 2?
angle Y X Z approximately equal to angle S U T text . Complete the proof that  end text stack T V with left right arrow on top ‖ stack W Y with left right arrow on top text .  end text

  Statement Reason
1 angle Y X Z approximately equal to angle S U T  
2 angle S U T approximately equal to angle V U X  
3 angle Y X Z approximately equal to angle V U X  

  1. Vertical Angles Theorem
  2. Corresponding Angles Theorem
  3. Alternate Exterior Angles Theorem
  4. Converse of Corresponding Angles Theorem

hintHint:

Alternate exterior angles are the pair of angles that are formed on th outer side of the parallel lines but on the opposite side of the transversal.

The correct answer is: Vertical Angles Theorem


    Angles YXZ = angle SUT.
    So, TV is parallel to WY by alternate exterior angle property.
    Hence, the correct option is C.

    Alternate exterior angles are always equal.

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    What is the reason for statement 3?
    angle Y X Z approximately equal to angle S U T text . Complete the proof that  end text stack T V with left right arrow on top ‖ stack W Y with left right arrow on top text .  end text

      Statement Reason
    1 angle Y X Z approximately equal to angle S U T  
    2 angle S U T approximately equal to angle V U X  
    3 angle Y X Z approximately equal to angle V U X  

    Corresponding angles are equal.

    What is the reason for statement 3?
    angle Y X Z approximately equal to angle S U T text . Complete the proof that  end text stack T V with left right arrow on top ‖ stack W Y with left right arrow on top text .  end text

      Statement Reason
    1 angle Y X Z approximately equal to angle S U T  
    2 angle S U T approximately equal to angle V U X  
    3 angle Y X Z approximately equal to angle V U X  

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