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Chapter 4 Math
Defenitions
| Question | Answer |
|---|---|
| triangle | a polygon with three sides |
| scalene | No congruent sides |
| isosceles | At least 2 congruent sides |
| equilateral | 3 congruent sides |
| acute | 3 acute angles |
| right | 1 right angle |
| obtuse | 1 obtuse angle |
| equilangular | 3 congruent angles |
| interior angles | The original angles |
| exterior angles | The angles that form linear pairs with the interior angles |
| corollary to a theorem | a statement that can be proved easily using the theorem. The corollary below follows from the Triangle Sum Theorem |
| congruent figures | Two geometric figures are congruent if they have exactly the same size and shape. |
| corresponding parts | all the parts of one figure are congruent to the corresponding parts of the other figure |
| right triangle | 1 right angle |
| legs | In a right triangle, the sides adjacent to the right angle are called the legs |
| hypotenuse | The side opposite the right angle is called the hypotenuse of the right triangle |
| flow proof | A flow proof uses arrows to show the flow of a logical argument |
| isosceles triangle | At least 2 congruent sides |
| legs | When an isosceles triangle has exactly two congruent sides, these two sides are the legs |
| vertex angle | The angle formed by the legs |
| base | The third side is the base of the isosceles triangle. |
| base angles | The two angles adjacent to the base |
| transformation | an operation that moves or changes a geometric figure in some way to produce a new figure. |
| image | The new figure is called the image |
| congruence transformation | A congruence transformation changes the position of the figure without changing its size or shape. |
| translation | A translation moves every point of a figure the same distance in the same direction |
| reflection | A reflection uses a line of reflection to create a mirror image of the original figure |
| rotation | A rotation turns a figure about a fixed point, called the center of rotation |