Unit 2
Glossary
Geometry
An auxiliary line is an extra line drawn on a figure to show hidden structure.
- The auxiliary line drawn on this isosceles triangle shows a line of symmetry.
- The auxiliary lines drawn on this parallelogram suggest a way of rearranging it into a rectangle.
The converse of an if-then statement is the statement that switches the hypothesis and the conclusion.
Example:
- Statement: “If it is raining, then the game is canceled.”
- Converse: “If the game is canceled, then it is raining.”
Corresponding parts are the matching parts of an original figure and its scaled copy that are in the same relative positions. The parts could be points, segments, angles, or distances. When two figures are congruent, all of their corresponding parts are congruent.
For example, in triangles \(ABC\) and \(DEF\):
- Point \(B\) corresponds to point \(E\).
- Segment \(AB\) corresponds to segment \(DE\).
- Angle \(BCA\) corresponds to angle \(EFD\).
A parallelogram is a type of quadrilateral that has 2 pairs of parallel sides.
Here are 2 examples of parallelograms.
From an earlier course.