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1.) Draw a line AM (which is of line PY) to form angle PAM orien of line PY. Hint: Point M should be roughly above Point P. 2.) Draw a line AH that is perpendicular with respect to line AM to

1.) Draw a line AM (which is of line PY) to form angle PAM orien of line PY. Hint: Point M should be roughly above Point P. 2.) Draw a line AH that is perpendicular with respect to line AM to

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.6: Segments Divided Proportionally
Problem 33E
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Use geometric construction.

1.) Draw a line AM (which is of line PY) to form angle PAM oriented 45 degrees from the horizontal. Point A is located at the midpoint of line PY. Hint: Point M should be roughly above Point P. 2.) Draw a line AH that is perpendicular with respect to line AM to the right. Line AH is of line PY. 3.) Then, draw a circle I with radius equal to PY and tangent to both lines PA and AM. 4.) Next, draw another circle C, with radius equal to of circle I. Circle C should be tangent to both lines AH and AY. 5.) After, draw internally tangent lines to circle I and circle C. 6.) Finally, draw an arc that is externally tangent to both circle I and circle C. The radius of this externally tangent arc is 1.5 times that of circle I. Label the point of tangency as J and K. Hint: This externally tangent arc can be drawn roughly above circles I and C. Additional Instruction: Explain the steps how you were able to the arc that is tangent to both circle I and circle C.
Transcribed Image Text:1.) Draw a line AM (which is of line PY) to form angle PAM oriented 45 degrees from the horizontal. Point A is located at the midpoint of line PY. Hint: Point M should be roughly above Point P. 2.) Draw a line AH that is perpendicular with respect to line AM to the right. Line AH is of line PY. 3.) Then, draw a circle I with radius equal to PY and tangent to both lines PA and AM. 4.) Next, draw another circle C, with radius equal to of circle I. Circle C should be tangent to both lines AH and AY. 5.) After, draw internally tangent lines to circle I and circle C. 6.) Finally, draw an arc that is externally tangent to both circle I and circle C. The radius of this externally tangent arc is 1.5 times that of circle I. Label the point of tangency as J and K. Hint: This externally tangent arc can be drawn roughly above circles I and C. Additional Instruction: Explain the steps how you were able to the arc that is tangent to both circle I and circle C.
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