| Postulates and Lines | ||
| #1 |
What does this symbol represent?: _|_ |
Perpendicular |
| #2 | Lines that don't intersect but don't exist in the same plane. |
Skew lines |
| #3 | Lines that don't intersect and exist in the same plane. |
Parallel lines |
| #4 | A line that intersects two or more lines, each at a different point. |
Transversal |
| #5 | High School Geometry, invented by a Greek mathematician is based on five principals known as postulates. |
Euclidean Geometry |
| Angles | ||
| #1 | Angles that lie in between the two lines. |
Interior angles |
| #2 | How many angles will occur when a transversal intersects two lines? |
Eight |
| #3 | Angles that lie on the outside of the two lines. |
Exterior angles |
| #4 | Angles that are on opposite sides of the transversal. |
Alternate angles |
| #5 | Angles on the same side of the transversal. Another name for corresponding angles. |
Consecutive Interior angles |
| Theorems | ||
| #1 | Two angles on opposite sides of transversal and between the two parallel lines. |
Alternate Interior Angle Theorem |
| #2 | Two angles between parallel lines, on one side of the transversal, and their angles added together should equal 180 degrees. |
Consecutive Interior Angles Theorem |
| #3 | Two angles on opposite sides of the transversal and they lie outside of the parallel lines. |
Alternate Exterior Angles Theorem |
| #4 | Two angles that share they same middle point and their measures are congruent. |
Vertical Angles Theorem |
| #5 | Are theorems also converses?
A.) True
B.) False
C.) Converses are theorems that prove that two lines are parallel. |
C.) Converses are theorems that prove that two lines are parallel. |
| Converses | ||
| #1 | Postulate 4^2 shows that two lines are parallel. |
Postulate 16 Corresonding Angles Converse |
| #2 | The alternative is that what's on the inside makes the two lines parallel. |
Alternate Interior Angles Converse |
| #3 | There is an alternation to what the outside has to make two lines parallel. |
Alternate Exterior Angles Converse |
| #4 | There has been consecutive insiders that has proven two lines are parallel. |
Consecutive Interior Angles Converse |
| #5 | TPPLT 3 lines; 1=2 and 2=3 so 3=1 |
Transitive Property of Parallel Lines Theorem |
| Vocabulary and Symbols | ||
| #1 | What does this symbol mean: || |
Parallel |
| #2 | what does this symbol mean: ___ AB |
Line |
| #3 | What is this symbol: ~ = |
Congruent |
| #4 | What is this symbol: /
|
Triangle |
| #5 | What to theorems prove and what do converses prove? |
Theorems prove the congruence of angles. Converses prove that two lines are parallel. |
| Final Question | |
Name all the titles for sections 3.1,3.2, and 3.3 but in the order of Jordan and Billups. |
3.2: Use Parallel Lines and Transversals 3.3: Prove Lines are Parallel 3.1: Identify Pairs of Lines and Angles |