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anonymous

  • one year ago

Explain how you can use a straightedge and a compass to construct an angle that is both congruent and adjacent to a given angle.

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  1. mathstudent55
    • one year ago
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    Start with a given angle. |dw:1441049395859:dw|

  2. mathstudent55
    • one year ago
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    Open the compass and center it at the vertex and draw an arc on each ray of the angle and an extra arc for the other ray we need for the adjacent congruent angle. |dw:1441049537826:dw|

  3. mathstudent55
    • one year ago
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    Now open the compass from the arc one one ray to the arc on the other ray. That is open it from points A to B below. |dw:1441049636659:dw|

  4. anonymous
    • one year ago
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    Ok

  5. mathstudent55
    • one year ago
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    Using opening AB, center the compass at B, and draw an arc that intersects the third arc we drew before.

  6. mathstudent55
    • one year ago
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    |dw:1441049700977:dw|

  7. mathstudent55
    • one year ago
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    Connect the vertex of the original angle with point D. You have now a congruent adjacent angle to the original angle. |dw:1441049765527:dw|

  8. anonymous
    • one year ago
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    Oh ok, thank you !!

  9. mathstudent55
    • one year ago
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    You're welcome. This construction works because of congruent triangles using SSS and CPCTC.

  10. anonymous
    • one year ago
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    Uh, Math Student 55 has answered for you. Please remember! Great answer by the way Math Student 55. You have a lot of points.

  11. mathstudent55
    • one year ago
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    @KaseyJones Thanks

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