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 √2 times that of circle I. Label the point of tangency as J and K. Hint: This externally tanget arc can be drawn roughly above circles I and C. Additional Instruction: Explain the steps on how you were able to draw the arc that is tangent to both circle I and circle C. Note: Construction lines may go outside the window borders.

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 √2 times that of circle I. Label the point of tangency as J and K. Hint: This externally tanget arc can be drawn roughly above circles I and C. Additional Instruction: Explain the steps on how you were able to draw the arc that is tangent to both circle I and circle C. Note: Construction lines may go outside the window borders.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter6: Circles

Section6.4: Some Constructions And Inequalities For The Circle

Problem 39E: In O, chord AB chord CD. Radius OE is perpendicular to AB and CD at points M and N, respectively. If...

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