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# Geometry 1-7 Constructions

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### Geometry 1-7 Constructions

1. 1. 1-7 Constructions Chapter 1 Tools of Geometry ©Tentinger
2. 2. Essential Understanding and Objectives  Essential Understanding: You can use special geometric tools to make a figure that is congruent to an original figure without measuring. This method is more accurate than sketching and drawing  Objectives  Students will be able to  Make basic constructions using a straightedge and a compass
3. 3. Iowa Core Curriculum  Geometry:  G.CO.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.
4. 4. Definitions  Straightedge: a ruler with no markings on it  Compass: geometric tool used to draw circles and parts of circles called arcs  Construction: geometric figure drawn using a straightedge and a compass.
5. 5. Making Constructions  Home Page: http://www.mathopenref.com/tocs/constructionsto c.html  Congruent Segments: http://www.mathopenref.com/constcopysegment. html  Congruent Angles  http://www.mathopenref.com/constcopyangle.html
6. 6. More Terms  Perpendicular Lines: two lines that intersect to form a right angle  Perpendicular Bisector: a line, segment, or ray that is perpendicular to the segment at its midpoint  Angle Bisector: a line, segment, or ray that splits an angle into two congruent parts
7. 7. More Constructions  Perpendicular Bisector: http://www.mathopenref.com/constbisectline.html  Angle Bisector: http://www.mathopenref.com/constbisectangle.ht ml
8. 8. Homework  Worksheet – In class