Lesson 11.6 Constructions pp. 490-493.

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Presentation transcript:

Lesson 11.6 Constructions pp. 490-493

Objectives: 1. To identify when a figure in space can be constructed. 2. To construct congruent subdivisions of a segment. 3. To construct a regular hexagon from a circle. 4. To identify the three impossible constructions that intrigued the ancient Greeks.

The Three Impossible Constructions: 1. Squaring the circle 2. Doubling a cube 3. Trisecting an angle

Homework pp. 492-493

■ Cumulative Review 19. point A and perpendicular to EA Copy the figure onto your paper for each construction below. Construct a line through the given point with the given characteristic. 19. point A and perpendicular to EA

■ Cumulative Review 20. point B and perpendicular to EC Copy the figure onto your paper for each construction below. Construct a line through the given point with the given characteristic. 20. point B and perpendicular to EC

■ Cumulative Review 21. point A and parallel to EB Copy the figure onto your paper for each construction below. Construct a line through the given point with the given characteristic. 21. point A and parallel to EB

■ Cumulative Review 22. point D and parallel to EC Copy the figure onto your paper for each construction below. Construct a line through the given point with the given characteristic. 22. point D and parallel to EC

■ Cumulative Review 23. midpoint of ED and perpendicular to ED Copy the figure onto your paper for each construction below. Construct a line through the given point with the given characteristic. 23. midpoint of ED and perpendicular to ED