Geometry Practice [Ch 1-4]
geometry terms.
Terms
undefined, object
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- perpendicular lines
- 2 lines that intersect to form 4 right angles
- hypothesis
- p in if p, then q is called the ________
- (n-2)180
- equation to find out sum of interior angles
- vertex
- where two endpoints meet
- plane
- contains at least 3 points on all in one line
- if i get good grades, then i am smart
- the converse of 'if i am smart, then i get good grades'
- segment addition postulate
- if B is between A and C, then AB + BC = AC
- polygon
- each segment of this intersects exactly 2 other segments, one at each endpoint
- line
- contains at least two points
- coplanar points
- points on one plane
- plane
- if 2 points are in a line, then the line that contains the points is in that _____
- intersection of two lines
- a point is...
- exterior, adjacent, perpendicular
- if the _________ sides of 2 _______ acute angles are perpendicular, then the angles formed are _______
- perpendicular bisector
- a line that is perpendicular to the segment at its midpoint, but does NOT have to go through a vertex
- given, definitions, postulates, theorems
- reasons used in proofs are: 1. ______ info, 2. d________, 3. p________, 4. t______
- collinear points
- points on one line
- intersection of two planes
- a line is...
- angle addition postulate
- if point B lies in the interior of angle AOC, then measure of angle AOB + measure of angle BOC = measure of angle AOC
- altitude
- a perpendicular segment from a vertex to the line that contains the opposite side
- adjacent angles
- two angles in a plane with a common vertex and side
- postulates/axioms
- statements accepted without proof
- triangle
- SSS, SAS, ASA, AAS postulates prove _______s congruent
- isosceles triangle theorem
- if 2 sides of a triangle are congruent, then the angles opposite those sides are congruent
- parallel lines
- coplanar lines that do not intersect
- conclusion
- q in if p, then q is called the ___________
- line, parallel
- if 2 parallel planes are cut by a 3rd plane, then the _____s of intersection are ______
- congruent, int, ss, perpendicular, parallel 3rd
- 5 ways to prove lines parallel: show that 1. a pair of corresponding angles are ______; 2. a pair of alt ___ angels are congruent; 3. a pair of _ - _ int angles are supp.; 4. both lines are _______ to another line in a plane; 5. both lines are ______ to a _____ line
- counter example
- an example which makes the hypothesis true & the condition false
- line
- a _____ and a plane are parallel if they do not intersect
- skew lines
- noncoplanar lines that do not intersect [and are not parallel]
- midpoint theorem
- if M is the midpoint of AB, then AM = 1/2AB and MB = 1/2AB
- obtuse angle
- measures between 90 & 180
- angle
- two rays that have the same endpoint
- converse of isosceles triangle theorem
- if two angles of a triangle are congruent, then the sides opposite those angles are congruent
- acute angle
- measures between 0 & 90
- conditional statement
- if p, then q
- regular
- ________ polygons are equilateral and equiangular
- one plane
- if 2 lines intersect, then exactly ____ _______ contains the lines
- conditoinal and converse
- a biconditional can only be made when the _______ AND _______ are BOTH true
- angle, perpendicular
- the bisector of the vertex _____ of an isosceles triangle is ________ to the base at its midpoint
- remote, angles
- the measure of an exterior angle of a triangle equals the sum of the measures of 2 _____ interior _______
- yes
- can every theorm be proven?
- point, plane
- through a line & a ______ not in a line, there is exactly one _______
- straight angle
- measures exactly 180
- right angle
- measures exactly 90
- median
- a segment from a vertex to the midpoint of the opposite side
- line
- through any 2 points there is exactly one _____
- space
- contains at least 4 points not in one line
- space
- the set of all points
- HL theorem
- if the hypotenuse & leg of a right triangle are congruent to the corr. parts of another rt. triangle., then the triangles are congruent
- congruence
- two objects having the same size and shape