+ Geometric Constructions 8 Basic Geometric Constructions.

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Presentation transcript:

+ Geometric Constructions 8 Basic Geometric Constructions

+ Construct vs. Draw/Sketch Constructing we use: Paper Folding OR Compass & Straightedge Drawing or Sketching: We don’t! We will go back and forth between paper folding & using compass/ruler.

+ The 8 Basic Geometric Constructions Copy a Line Segment Copy An Angle Bisect a Line Segment Bisect an Angle Construct a Perpendicular Line Construct a Parallel Line Construct an Isosceles Triangle Construct an Equilateral Triangle

+ What’s Given? Copy a Line Segment: Given – Line Segment & Endpoint Copy An Angle: Bisect a Line Segment: Bisect an Angle: Construct a Perpendicular Line: Construct a Parallel Line: Construct an Isosceles Triangle: Construct an Equilateral Triangle:

+ What Else is Given? Copy a Line Segment: Given – Line Segment & Endpoint Copy An Angle: Given – Angle & Ray Bisect a Line Segment: Bisect an Angle: Construct a Perpendicular Line: Construct a Parallel Line: Construct an Isosceles Triangle Construct an Equilateral Triangle:

+ Tell me more! Copy a Line Segment: Given – Line Segment & Endpoint Copy An Angle: Given – Angle & Ray Bisect a Line Segment: Given – Line Segment Bisect an Angle: Construct a Perpendicular Line: Construct a Parallel Line: Construct an Isosceles Triangle Construct an Equilateral Triangle:

+ Ok, this one-at-a-time thing… Copy a Line Segment: Given – Line Segment & Endpoint Copy An Angle: Given – Angle & Ray Bisect a Line Segment: Given – Line Segment Bisect an Angle: Given - Angle Construct a Perpendicular Line Construct a Parallel Line: Construct an Isosceles Triangle: Construct an Equilateral Triangle:

+ …is getting on my nerves. Copy a Line Segment: Given – Line Segment & Endpoint Copy An Angle: Given – Angle & Ray Bisect a Line Segment: Given – Line Segment Bisect an Angle: Given - Angle Construct a Perpendicular Line: Given – Line & Point Construct a Parallel Line: Construct an Isosceles Triangle: Construct an Equilateral Triangle:

+ What gives!?! Copy a Line Segment: Given – Line Segment & Endpoint Copy An Angle: Given – Angle & Ray Bisect a Line Segment: Given – Line Segment Bisect an Angle: Given - Angle Construct a Perpendicular Line: Given – Line & Point Construct a Parallel Line: Given – Line & Point Construct an Isosceles Triangle: Construct an Equilateral Triangle:

+ Copy a Line Segment: Given – Line Segment & Endpoint Copy An Angle: Given – Angle & Ray Bisect a Line Segment: Given – Line Segment Bisect an Angle: Given - Angle Construct a Perpendicular Line: Given – Line & Point Construct a Parallel Line: Given – Line & Point Construct an Isosceles Triangle: Given – One Side Construct an Equilateral Triangle:

+ FINALLY! Cha Cha Cha. Copy a Line Segment: Given – Line Segment & Endpoint Copy An Angle: Given – Angle & Ray Bisect a Line Segment: Given – Line Segment Bisect an Angle: Given - Angle Construct a Perpendicular Line: Given – Line & Point Construct a Parallel Line: Given – Line & Point Construct an Isosceles Triangle: Given – One Side Construct an Equilateral Triangle: Given – One Side

+ Your Mission: (finish in class) Create the 8 Basic Geometric Constructions Using the Paper- Folding Method. Write 1-2 sentences about each! Label Each paper & Sentences! USE PEN for given and PENCIL for construction! MISS BOUCHER WILL DO THE FIRST ONE WITH YOU IF YOU WANT!!!! HOMEWORK: Link 24, watch video and STOP at 3 min. Yes, take notes.