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Published byJeremy Harper Modified over 6 years ago
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•. Construction means. making a drawing or. design using mathematical
• Construction means making a drawing or design using mathematical tools.
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Classical Constructions Since ancient times, people have looked at what constructions can be made using only a compass and an unmarked straightedge.
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Classical constructions were basically the brain-teasers of the ancient world. • The challenge was to create a construction and then explain why it worked.
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Constructions were also used to make designs such as the patterns found in the windows of European cathedrals.
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Today we study constructions for their historical value and because it teaches us to think through steps logically.
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We’re going to start by looking at four basic constructions:
We’re going to start by looking at four basic constructions: Congruent segment Congruent angle Angle bisector Perpendicular bisectors of segment
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Congruent Segment
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C o n g r u e n t Angle
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Angle Bisector
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PERPENDICULAR. Lines are perpendicular. if and only if
PERPENDICULAR Lines are perpendicular if and only if they meet to form a right angle.
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The symbol for perpendicular is .
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A perpendicular bisector is a line perpendicular to a segment that goes through the midpoint of the segment.
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Constructing a perpendicular bisector
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Remember … Construction Compass Straightedge Perpendicular
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