Flashcards: geometry midterm
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Created by:
Smanges on December 6, 2009
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Barron/Tyler!!!!!!!!!!!!! !!!!!!!, Geometry
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Terms | Definitions |
|---|---|
 corresponding angles | on same side of transversal. 1 is in and 1 is out; different vertices |
| alternate interior angles(aia) | on different sides of the transversal; bothin; different vertices |
| alternate exterior angles(aea) | ondifferent sides of the transversal; both out; different vertices |
| reflexive | a=a |
| symmetric | a=b, then b=a |
| transitive | a=b, and b=c, then a=c |
| perpendicular | 2 lines that intersect to form right angles |
| equilateral triange | has 3 =sides |
| isosceles triangle | has 2=sides |
| scalene triange | has no = sides |
| acute triangle | has 3 acute angles |
| right triangle | has one right angle |
| obtuse triangle | hs 1 obtuse angle |
| equiangular triangle | has 3 congruent angles |
| hypontenuse | side across from the right angle in a right triangle |
| leg | sides that form the right angle or a right triangle |
| triangle sum theorem | the sum of the interior angles of a triangle=180 |
| exterior angle theorem(eat) | an exterior angle is equal to the sum of its 2 ria(ea=ria +ria) |
| Ways to prove triangles congruent | sss, sas,asa.aas, HL |
| Base angle theorem(ITT also know as Isosceles Triangle theorem) | if the legs of an isosceles triangle are congruent then the base angles are congruent |
| perpendicular bisector | seg., ray, or line that is perpendicular to and divides a seg. into 2=parts |
| midsegment | connects the midpoints of 2 sides of a triangle |
| midsegment theorem | segment connecting the midpointsof 2 sides of a triangle is parallel to the 3rd |
| LALS | largest angle is opposite the longest side in a triangle |
| LSLA | longest side is opposite the largest angle in a triangle |
| congruent | equal |
| line | intersection of 2 opposite rays with a common endpoint consists of at least 2 points and all points beyond; label with 2 points |
| collinear | in the same line |
| coplanar | in the same plane |
| noncollinear | not in the same line |
| noncoplanar | not in the same plane |
| segment | consists of 2 endpoints and all points between |
| ray | consists of 1 enpoint and all points beyond |
| opposite rays | intersection of 2 rays with a common endpoint that forms a line |
| segment additions postulate | B is between A and C if AB + BC = AC |
| interior of an angle | inside |
| exterior of an angle | outside |
| angle addition postulate | if D is in the interior of angle ABC then M angleABD + M Angle DBC= M ange ABC |
| right angle | measure 90 |
| obtuse angle | measures between 90 and 180 |
| straight angle | measure 180 |
| adjacent angles | have a common vertex and side but no common interior points; side by side |
| bisect | to divide into 2=parts |
| midpoint formula | (x1 + x2/2, y1 + y2/2) |
| linear pair | pair of adjacents angles that form a line |
| vertical angles | angle 1 and angle 2 are vertical angles |
| complimentary angles | 2 angles whose sum is 90 |
| supplementary angles | 2 angles whose sum is 180 |
| same side interior | two angles that are formed by two lines and a transversal and that lie between two lines on the same side of the transversal |
| parallel lines | two lines in the same plane that do not intersect |
| base of isosceles triangle | the noncongruent side of an isosceles triagle that has only two congruent sides |
| legs of an iscosceles triangle | the two congruent sides of an iscoceles triangle that has only two congruent sides |
| slopes of parallel lines | slopes of two lines that are equal to each other |
| slopes of perpendicular lines | slopes of two lines that are the negative reciporacal to each other |
| median of a triangle | a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite side |
| altitude of a triangle | the perpendicular segment from a vertex of a triangle to the opposite side or to the line that contains the opposite side |
| Vertical angle theorum | all vertical angles are congruent |
| skew | two sides in different planes that do not intersect |
| acute angle | angle less than 90 degrees |
| y1-y2/x1-x2 | slope formula |
| used once you have proved congruent triangles and all corresponding parts are congruent | CPCTC-When do you use it |
| CPCTC | congruent parts of congruent triangles are congruent |
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