Term
Give the definition of:
geometry |
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Definition
geometry is the study of six broad categories:
1. points
2. lines
3. angles
4. curves
5. surfaces
6. solids |
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Term
Reasoning in geometry consists of three stages; name all three.
Hints: 1. music-art, 2. observation, 3. test |
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Definition
1. Look for a pattern.
2. Make a conjecture
3. Verify the conjecture |
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Term
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Definition
| an unproven statement based on observations |
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Term
| Define inductive reasoning. |
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Definition
| a process of looking for patterns and making conjectures |
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Term
| To prove a conjecture as false, you must provide a _____________.a |
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Definition
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Term
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Definition
| something that proves a conjecture to be false |
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Term
| To find the sum of first positive odd integers, you must... |
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Definition
square the number of integers.
Example:
first two odd integers: 1+3=4, or 22
first three odd integers: 1+3+5= 9, or 32 |
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Term
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Definition
| use known words to define an unknown word |
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Term
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Definition
| represented by a small dot, cannot be measured |
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Term
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Definition
| straight, extends forever in two directions |
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Term
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Definition
| flat surface, has no thickness- 2D only- extends forever in 4 directions |
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Term
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Definition
| two or more points on the same line |
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Term
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Definition
| two or more points in the same plane (three points will always be on the same plane) |
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Term
| Rules accepted without proof are called _________ or _______. |
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Definition
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Term
| Rules that are proved are called _________. |
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Definition
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Term
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Definition
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Term
| When do you use the distance formula? |
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Definition
| When you have the coordinates of points on a graph. |
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Term
| The symbol for congruence is... |
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Definition
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Term
| What is the Pythagorean Theorem? |
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Definition
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Term
| Angles that have the same measure are called _________ angles. |
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Definition
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Term
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Definition
acute
right
obtuse
straight |
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Term
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Definition
| to split/divide something into two sections/equal parts. |
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Term
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Definition
| segment, ray, line, or plane that intersects the segment at its midpoint |
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Term
| What is the midpoint formula? |
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Definition
m (x,y)= (x2+x1, y2+y1)
(2, 2)
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Term
| Two angles are _______ angles if their sides form two pairs of opposite rays. |
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Definition
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Term
| Two adjacent angles are a linear pair if their ____________ sides are opposite rays. |
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Definition
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Term
| The sum of the measures of angles that form a linear pair is ___° |
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Definition
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Term
| Two angles are __________ angles if the sum of their measures is 90° |
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Definition
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Term
| Two angles are ____________ angles if the sum of their measures is 180° |
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Definition
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