EMAT 6700
by Brad Simmons
Constructions Using Geometer's Sketchpad
This page is designed for high school geometry students to use the geometer's sketchpad to learn some basic constructions. Furthermore, there are a few problems and explorations included on this page that serve as extensions to the basic constructions being introduced and discussed.
Chapter 1
Construction 1 Congruent Segments
Construction 2 Bisecting a Segment
Construction 3 Congruent Angles
Construction 4 Angle Bisector
Construction 5 Perpendicular Lines through a point on the Line
Construction 6 Perpendicular Lines through a point not on the Line
Extension 1 Perimeter and Area of Irregular Shapes
Extension 2 Curve Stitching
Chapter 2
Extension 3 Venn Diagrams
Extension 4 Bisecting a Hidden Angle
Chapter 3
Construction 7 Construction of Parallel Lines
Extension 5 Toothpick puzzles
Chapter 4
Construction 8 Constructing Congruent Triangles
Extension 6 How many Triangles?
Extension 7 Triangle Challenges
Chapter 5
Extension 8 Orthocenter
Extension 9 Tangrams
Extension 10 Inscribed and Circumscribed Circles
Chapter 6
Construction 9 Rectangle
Construction 10 Rhombus
Construction 11 Median of a Trapezoid
Extension 11 Tessellations
Extension 12 Counting Squares and Rectangles
Chapter 7
Construction 12 Trisecting a segment
Extension 13 Constructing Similar Polygons
Extension 14 Golden Rectangles
Chapter 8
Extension 15 Creating Pythagorean Puzzles
Extension 16 Constructing values of square roots
Chapter 9
Construction 13 Finding the center of a circle
Construction 14 Tangent from a point outside the circle
Construction 15 Circle Inscribed in a Polygon
Extension 17 Four color problem
Extension 18 Tangent circles
Extension 19 Nine-point circle
Chapter 10
Construction 16 Regular Hexagon
Construction 17 Reflecting a Triangle
Extension 20 Constructing a Decagon
Extension 21 Transformations and Reflections