EMAT 6700

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

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