Geometry: Construction Proof

This resource consists of two interactive excel files dealing with some aspects of construction and geometric proof.

Perpendicular Bisectors
This excel file begins with illustrating the perpendicular bisector of a line segment. It goes on to show the perpendicular bisectors of two line segments which meet at a point. Finally the perpendicular bisectors of the sides of a triangle are shown. In each case the lines can be seen to change in increments. The particular cases of isosceles, equilateral and right angle triangles are clearly illustrated on a separate sheet.

There are a further two sheets of questions requiring use of ruler and compasses which may be duplicated for classroom use.

Geometry: Construction, Proof
This excel file presents the student with a number of problems involving geometric proof. These begin with proofs requiring understanding of similar triangles and cyclic quadrilaterals. Students are also challenged to prove that the angle between tangent and chord is equal to the angle in the alternate segment. Later problems are much more challenging.

In each case the diagram is interactive and can help to illustrate the problem. The file contains some sheets of questions on construction and locus which may be suitable for use within the classroom.

Note
This program was designed by be viewed on a screen with a resolution of 1024 x 768. Users may have to adjust the resolution of their screen for the pages to display as was originally intended. The program uses macros which need to be enabled on users’ machine.