Lines, Angles and Triangles

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Presentation transcript:

Lines, Angles and Triangles Opening routine

Topic II: Lines, Angles and Triangles

Lines, Angles and Triangles Geometric Constructions Objective: Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Essential Question: Is it possible to divide an angle into two equal parts using a geometric construction?

Lines, Angles and Triangles Geometric Constructions Vocabulary Construct: To create or draw geometric figures using only tools such as a compass and straightedge; measuring of lengths or angles is not permitted. Compass: Instrument for drawing circles and arcs and measuring distances between points, consisting of two arms linked by a movable joint. Straightedge: A ruler with no markings on it.

Lines, Angles and Triangles Geometric Constructions Vocabulary Equidistant: Lines or arcs that are the same distance apart at every point. Angle Bisector: A line that bisects an interior angle. Perpendicular Bisector: A line that is perpendicular to a segment at its midpoint.

Lines, Angles and Triangles Geometric Constructions Construct a line segment that is congruent to AB http://www.mathopenref.com/constcopysegment.html

Lines, Angles and Triangles Geometric Constructions Construct an angle that is congruent to B http://www.mathopenref.com/constcopyangle.html

Lines, Angles and Triangles Geometric Constructions Construct a line that bisect segment PQ http://www.mathopenref.com/constbisectline.html

Lines, Angles and Triangles Geometric Constructions Construct a bisector to angle PQR http://www.mathopenref.com/constbisectangle.html

Lines, Angles and Triangles Geometric Constructions Construct a perpendicular from a point off a line http://www.mathopenref.com/constperpextpoint.html

Lines, Angles and Triangles Geometric Constructions Construct a line parallel to segment PQ through point R http://www.mathopenref.com/constparallel.html

Lines, Angles and Triangles Geometric Constructions Construct a regular hexagon inscribed in a circle http://www.mathopenref.com/constinhexagon.html

Lines, Angles and Triangles Geometric Constructions Construct a square given a side http://www.mathopenref.com/constsquare.html

Lines, Angles and Triangles Geometric Constructions YOU DO - Independent Practice Worksheet Pages 1 and 2

Lines, Angles and Triangles Geometric Constructions Homework Worksheet Geometric Constructions Packet Pages 2 and 8

Lines, Angles and Triangles Parallel and perpendicular lines Closure Essential Question: Is it possible to divide an angle into two equal parts using a geometric construction?