Postulates, Theorems & Definitions
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
|
|
||||
|---|---|---|---|---|---|
| Congruent segments | Line segments that have the exact same length, shape or size.
🗑
|
||||
| Postulate #1: Ruler postulate | The distance between one point to another (absolute value) [x2 - x1]
🗑
|
||||
| Postulate #2: Segment addition postulate | If B is between A and C, then AB+BC=AC
🗑
|
||||
| Postulate #3: Protractor Postulate | When you line up a protractor at 0 degrees, the angle measure lines up with that on the protractor
🗑
|
||||
| Postulate #4: Angle addition postulate | If D is the interior of <ABC, then <ABD+<DBC+<ABC
🗑
|
||||
| Postulate #5: | through any 2 points there exists exactly one line
🗑
|
||||
| Postulate #6 | A line contains at least 2 points
🗑
|
||||
| Postulate #7 | If 2 lines intersect, then there intersection is exactly one point
🗑
|
||||
| Postulate #8 | through any 3 noncollinear points there exists exactly one plane
🗑
|
||||
| Postulate #9 | A plane contains at least three noncollinear points
🗑
|
||||
| Postulate #10 | if 2 points lie on a plane, then the line they lie on lies on the plane
🗑
|
||||
| Postulate #11 | If 2 planes intersect, then there intersection is a line
🗑
|
||||
| Postulate #12: Linear Pair Postulate | If 2 angles are a linear pair, then they are supplementary
🗑
|
||||
| Midpoint | Point that divides a segment into 2 congruent segments
🗑
|
||||
| Segment Bisector | a point, ray, line, line segment, or plane that intersects the segment at its midpoint.
🗑
|
||||
| Right angle | measure of angle = 90 degrees
🗑
|
||||
| Straight angle | measure of angle = 180 degrees
🗑
|
||||
| Acute angle | Measure of angle is less than 90 degrees, and more than 0
🗑
|
||||
| Obtuse angle | Measure of angle is greater than 90 degrees, but less than 180 degrees
🗑
|
||||
| Congruent angles | Angles with the exact same measurement
🗑
|
||||
| Angle Bisector | A ray that divides an angle into 2 congruent angles
🗑
|
||||
| Complementary Angles | The sum of 2 angles is 90 degrees
🗑
|
||||
| Supplementary Angles | 2 angles with the sum of 180 degrees
🗑
|
||||
| Adjacent Angles | Share a common side and vertex, no interior point
🗑
|
||||
| Linear pair | If there non common sides are opposite rays
🗑
|
||||
| Vertical Angles | The sides form 2 pairs of opposite rays
🗑
|
||||
| Conjecture | An unproven statement based on observation
🗑
|
||||
| Inductive reasoning | When you find a pattern in specific cases, write a conjecture
🗑
|
||||
| Counterexample | A specific example/case proving the conjecture wrong
🗑
|
||||
| Conditional Statement | A logical statement that has 2 parts, a hypothesis and a conclusion
🗑
|
||||
| If-then form | If hypothesis, then conclusion. "If A, then B"
🗑
|
||||
| Converse | If conclusion, then hypothesis.
🗑
|
||||
| Inverse | If not The hypothesis, then not the conclusion
🗑
|
||||
| Contrapositive | If not the conclusion, then not the hypothesis
🗑
|
||||
| Biconditional statement | If and only if...
🗑
|
||||
| Negation | the opposite of the original statement.
🗑
|
||||
| Equivalent statement | When 2 statements are both true and both false
🗑
|
||||
| Perpendicular lines | 2 lines intersect and form a right angle
🗑
|
||||
| Law of detachment | If the converse is true then the conclusion is also true
🗑
|
||||
| Law of syllogism | If a, then b. If b, then c. If A, then c.
🗑
|
||||
| Substitution Property | If a=b, then a can be substituted for b in any equation or expression
🗑
|
||||
| Distributive property | a(b+c) = ab+ac
🗑
|
||||
| Do the reflexive, symmetric, and transitive properties of equality pertain to measurement of angles and segments or congruence? | The properties of equality pertain to measurements
🗑
|
||||
| Theorem 2.1: Congruence of segments | Is reflexive, symmetric, and transitive. Pertains to congruence
🗑
|
||||
| Theorem 2.2: Congruence of angles | Is reflexive, symmetric, and transitive. Pertains to congruence (Symmetric property of segment congruence)
🗑
|
||||
| Theorem 2.3: Right angles congruence theorem | All right angles are congruent
🗑
|
||||
| Theorem 2.4: Congruent supplements theorem | If 2 angles are supplementary to the same angle, then they are congruent
🗑
|
||||
| Theorem 2.5: Congruent complements theorem | If 2 angles are complementary to the same angle, then they are congruent
🗑
|
||||
| Theorem 2.6: Vertical Angles congruence theorem | Vertical angles are congruent
🗑
|
Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.
Normal Size Small Size show me how
Normal Size Small Size show me how
Created by:
jill_genova
Popular Math sets