Mathematics
Grade9
Easy

Question

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  

  1. Vertical Angles Theorem
  2. Transitive Property of Congruence
  3. Converse of Corresponding Angles Theorem

hintHint:

Corresponding angles are the angles that are formed when two parallel lines are intersected by the transversal.

The correct answer is: Transitive Property of Congruence


    Angle YXZ = angle VUX.
    So, TV is parallel to WY by converse of corresponding angle property.
    Hence, the correct option is B.

    Corresponding angles are equal.

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