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•. Construction means. making a drawing or. design using mathematical

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Presentation on theme: "•. Construction means. making a drawing or. design using mathematical"— Presentation transcript:

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2 •. Construction means. making a drawing or. design using mathematical
• Construction means making a drawing or design using mathematical tools.

3 Classical Constructions Since ancient times, people have looked at what constructions can be made using only a compass and an unmarked straightedge.

4 Classical constructions were basically the brain-teasers of the ancient world. • The challenge was to create a construction and then explain why it worked.

5 Constructions were also used to make designs such as the patterns found in the windows of European cathedrals.

6 Today we study constructions for their historical value and because it teaches us to think through steps logically.

7 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

8 Congruent Segment

9 C o n g r u e n t Angle

10 Angle Bisector

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12 PERPENDICULAR. Lines are perpendicular. if and only if
PERPENDICULAR Lines are perpendicular if and only if they meet to form a right angle.

13 The symbol for perpendicular is .

14 A perpendicular bisector is a line perpendicular to a segment that goes through the midpoint of the segment.

15 Constructing a perpendicular bisector

16 Remember … Construction Compass Straightedge Perpendicular


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