Chapter 2
Isometric Figures

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Course Notes Chapter Summary Typical Problems Important Terms Objectives

 


Course Notes

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Chapter Summary

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Isometric Figures


Typical Problems

Under construction.


Important Terms

Isometries: transformations of the plane that preserves length and angle measures.

Composition: operation that consists of having one transformation follow another.

Composite: single transformation that results from a composition of two transformations.

Isometric figures: figures that can be associated by an isometry or that have the same angle measures and lengths of sides.

Congruent elements: elements such as angles, sides, medians... that have the same measures. Two congruent elements are isometric.

Definition: statements describing the nature of geometric figures in terms of their essential characteristics.

Geometric properties: statements of observable facts about geometric figures.

Axioms: statements considered to be obvious and accepted as true.

Theorems: propositions that have been proved using logical reasoning made up of statements, definitions, properties, axioms or theorems that have already been proved.

Converse: proposition in which the hypothesis and conclusion have been interchanged.

Counter-example: an example which contradicts a proposition.

Corresponding angles: two angles at different vertices, located on either side of the intersecting line, one inside the other two lines and the other outside them.

Alternate-interior angles: two angles at different vertices, located on either side of the intersecting line and inside the other two lines.

Alternate-exterior angles: two angles at different vertices, located on either side of the intersecting line and outside the other two lines.


Objectives

Terminal objective

- To solve problems using the concept of isometry.

Intermediate objectives

- To distinguish isometric figures from those that are not.

- To describe an isometry involving two polygons.

- To support a statement used in presenting a proof involving isometry.

Skills

- Distinguishing isometric figures from those that are not.

- Describing an isometry involving two polygons.

- Supporting a statement used in presenting a proof involving isometry.


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