3) Construct a square inscribed in a circle To construct a square inscribed in a circle: 1. Draw a circle with center 0. 2. Use a straightedge to draw the diameter AD. Label the endpoints A and D. 3. Construct the perpendicular bisector of AD and label the endpoints Gand H. 4. Use a straightedge to draw AH, HD. DG. and AG.

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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2) Construct a regular hexagon inscribed in a circle
To construct a regular hexagon inscribed in a circle:
1. Follow steps 1 to 5 above.
2. Use a straightedge to draw AB, BC, CD, DE, EF, and FA.
3) Construct a square inscribed in a circle
To construct a square inscribed in a circle:
1. Draw a circle with center 0.
2. Use a straightedge to draw the diameter AD. Label the endpoints A and D.
3. Construct the perpendicular bisector of AD and label the endpoints Gand H.
4. Use a straightedge to draw AH, HD, DG, and AG.
4) How can you be certain that the angles that you have created form a square inside a circle
in the third construction? Write a thorough explanation of why the figure constructed
must be a square.
Transcribed Image Text:2) Construct a regular hexagon inscribed in a circle To construct a regular hexagon inscribed in a circle: 1. Follow steps 1 to 5 above. 2. Use a straightedge to draw AB, BC, CD, DE, EF, and FA. 3) Construct a square inscribed in a circle To construct a square inscribed in a circle: 1. Draw a circle with center 0. 2. Use a straightedge to draw the diameter AD. Label the endpoints A and D. 3. Construct the perpendicular bisector of AD and label the endpoints Gand H. 4. Use a straightedge to draw AH, HD, DG, and AG. 4) How can you be certain that the angles that you have created form a square inside a circle in the third construction? Write a thorough explanation of why the figure constructed must be a square.
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