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BIGDOG96

  • 3 years ago

Jazz draws a transversal, t, on two parallel lines AB and CD, as shown below. He makes the following table to prove that the alternate interior angles are equal.

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  1. BIGDOG96
    • 3 years ago
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    Uploading the rest.

  2. BIGDOG96
    • 3 years ago
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    Statement Justification angle 2 = angle 6 Corresponding angles of parallel lines are congruent. angle 2 = angle 4 ? angle 4 = angle 6 transitive property of equality, angle 2 = angle 6, angle 2 = angle 4, therefore angle 4 = angle 6

  3. BIGDOG96
    • 3 years ago
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  4. BIGDOG96
    • 3 years ago
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    Angles 1 and 3 are supplementary; therefore, angle 2 is equal to angle 4. Angles 1 and 3 are congruent; therefore, angle 2 is equal to angle 4. Angles 1 and 4 and angles 1 and 2 are supplementary; therefore, angle 2 is equal to angle 4. Angles 1 and 4 and angles 1 and 2 are congruent; therefore, angle 2 is equal to angle 4.

  5. campbell_st
    • 3 years ago
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    Angle 2 = Angle 4 as they are vertically opposite angles.... (sometimes called vertical angles) opposite sides of the vertex are congruent. Angle 4 = Angle 6 interior alternate angles in parallel lines are congruent. thats about the all there is...

  6. BIGDOG96
    • 3 years ago
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    So the answer is? Don't mean to be hard but you kinda confused me.

  7. campbell_st
    • 3 years ago
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    well you have proven Angle 2 = angle 4 and angle 4 = angle 6 therefore angle 2 has to equal angle 6.

  8. BIGDOG96
    • 3 years ago
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    Oh okay...but that's not a choice.

  9. psi9epsilon
    • 3 years ago
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    2=4, 6=8,1=3,5=7 are all Opp. angle which are congruent also 4 = 6 BECAUSE of two parallel lines and a kind a Z formation hint look for z formations always in a transveral, it will give you lots of information

  10. BIGDOG96
    • 3 years ago
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    Sorry but I'm still confused. I'm really sorry.

  11. psi9epsilon
    • 3 years ago
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    kindly justify?

  12. BIGDOG96
    • 3 years ago
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    I don't understand how to get the right answer.

  13. BIGDOG96
    • 3 years ago
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    Or what to do.

  14. psi9epsilon
    • 3 years ago
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    do you agree 2=4 and 4=6?

  15. BIGDOG96
    • 3 years ago
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    Yes

  16. psi9epsilon
    • 3 years ago
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    so can we say 2=6?

  17. BIGDOG96
    • 3 years ago
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    Right

  18. psi9epsilon
    • 3 years ago
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    and what kind of angles are 2 and 6 ?

  19. BIGDOG96
    • 3 years ago
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    Congruent?

  20. psi9epsilon
    • 3 years ago
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    exactly

  21. psi9epsilon
    • 3 years ago
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    we proved that they are congruent now take a careful look start from left i.e. from point A, come down and move toward ray D , does that look like a Z

  22. psi9epsilon
    • 3 years ago
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    your answers are almost with you

  23. BIGDOG96
    • 3 years ago
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    Yes

  24. psi9epsilon
    • 3 years ago
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    does that help?

  25. BIGDOG96
    • 3 years ago
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    To be honest it lost me.

  26. BIGDOG96
    • 3 years ago
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    Wait is it the second choice?

  27. psi9epsilon
    • 3 years ago
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    read the reasoning above , and you have the basic information to solve the question,

  28. BIGDOG96
    • 3 years ago
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    Wait is it the second choice?

  29. psi9epsilon
    • 3 years ago
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    1 and 3, there for 2 and 4, is the closest match, 1 and 3 form a vertically oppo angle pair

  30. BIGDOG96
    • 3 years ago
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    Thanks I would give you a medal but IDK how, I new.

  31. BIGDOG96
    • 3 years ago
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    Do you have time to help me with another one?

  32. psi9epsilon
    • 3 years ago
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    sure

  33. BIGDOG96
    • 3 years ago
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    Okay

  34. -GeoIzHard-
    • 2 years ago
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    @BIGDOG96 so what was the answer.........

  35. -GeoIzHard-
    • 2 years ago
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    Was it Angles 1 and 3 are congruent; therefore, angle 2 is equal to angle 4?

  36. -GeoIzHard-
    • 2 years ago
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    @psi9epsilon @BIGDOG96

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