# math midterm

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 Author: lmtrackstar ID: 125697 Filename: math midterm Updated: 2012-01-02 18:38:38 Tags: math midterm Folders: Description: postulates theorems Show Answers:

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• If point B falls between point A and C, and A, B, and C are collinear,
• then AB + BC = AC
all the angles in a triangle add up to 180 degrees
3. 3. Definition of parallel
two lines that don’t intersect and are coplanar
4. Definition of perpendicular
• two lines that intersect to
• form a right angle are perpendicular
5. what existst between any 2 points?
a line
6. through any 3 noncolinear points there exists what?
a plane
a = b, then a + c = b + c
8. waht is RAT
right angle congruency all right angles are congruent
9. Congruent Supplements Theorem
• if two angles are supplementary to the same angle (or to congruent
• angles) then they are congruent
10. Congruent Complements Theorem
• if two angles are complementary to the same angle (or to congruent
• angles) then they are congruent
11. Linear Pair Postulate (LPP
• if two angles form a linear
• pair, then they are supplementary
12. Parallel postulate
• if there is a line and a point not on that line, then there is exactly
• one line through the point parallel to the given line
13. Perpendicular Postulate
• if there is a line and a
• point not on the line, then there is exactly one line through the point
• perpendicular to the given line
14. Corresponding angles postulate
• if two lines cut by a transversal are parallel, then the corresponding
• angles are congruent
15. Transitive property of parallel lines
• if two coplanar lines are parallel to the same line, then they are
• parallel to each other
16. Slopes of parallel lines postulate
• in a coordinate plane, two non-vertical lines are parallel if and only
• if they have the same slope
17. Slopes of perpendicular lines postulate
• in a coordinate plane, two
• non-vertical lines are perpendicular if and only if they have slopes that are
• negative reciprocals
18. If two lines intersect to form a linear pair of congruent angles, then
the lines are perpendicular (theorem)
• If two lines intersect to form a linear pair of congruent angles, then
• the lines are perpendicular (theorem)
19. what postulates prove congruency?
• sss
• aaa
• sas
• asa
• hl
20. what is cpctc
(corresponding parts of corresponding triangles are congruent)
21. base angles theorem
• if two sides of a triangle are congruent, then the angles opposite these
• sides are also congruent
22. base angles theorem corollary
if a triangle is equilateral, then it is equiangular
23. converse of the base angles theorem
• if two angles in a triangle
• are congruent, then the two opposite sides are congruent
24. corollary to the converse of the base angles theorem
if a triangle is equiangular, then it is equilateral
25. Corresponding lengths in similar polygons
• if two polygons are
• similar, then the ratio of any two lengths in the polygon is equal to the scale
• factor.
26. Perimeters of similar triangles
• if two polygons are
• similar, then the ratio of their perimeters is equal to the ratio of the
• lengths of their corresponding sides (scale factor)
27. waht postulates prove similarity?
• aa- if two angles of one triangle are congruent to two angles of another
• triangle, then the triangles are similar
• sss
• sas
28. Triangle Proportionality Theorem
• if a line parallel to one
• side of a triangle intersects the other two sides then it divides the two sides
• proportionally
29. converse of the Triangle Proportionality Theorem
• if a line intersects 2 sides of a triangle and it divides the sides
• proportionally, then it is parallel to the other side
30. Midsegment Theorem
• the midsegment of a triangle is half the length of the side it does
• not intersect and parallel to that side

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