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GS Postulates and Th
GS - Geometry H. - Postulates and Theorems
Question | Answer |
---|---|
Ruler Postulate | The distance between any two points equal the absolute value of the difference of there coordinates. |
Segment Addition Postulate | If B is the midpoint of A and C, then AB + BC = AC. |
Protractor Postulate | Computing the absolute value of the acute and obtuse degrees. |
Angle Addition Postulate | m |
A line contains at least ... points | Two. |
A plane contains at least ... points not all in one line. | Three. |
Space contains at least ... points not all in one plane. | Four. |
Through any two points, ... | There is at least one line. |
Through any three points, ... | There is at least one plane. |
Through any three noncollinear points, ... | There is exactly one plane. |
If two points are in a plane, ... | Then the line that contains the points are also in the plane. |
If two planes intersect, ... | Then there intersection is a line. |
If two lines intersect, ... | Then they intersect in exactly one point. |
Through a line and a point not on the line, ... | There is exactly one plane. |
If two lines intersect, ... | Then exactly one plane contains the lines. |
Midpoint Theorem | if M is the midpoint of segment AB, then AM 1/2AB and MB = 1/2AB |
Angle Bisector Theorem | If ray BX is the bisector of |
Vertical angles are ... | congruent. |
If two lines are perpendicular, then they form ... | congruent adjacent angles. |
If two lines form congruent adjacent angles, then they are | perpendicular. |
If the exterior sides of two congruent acute adjacent angles are perpendicular, then the angles are ... | complements. |
If two lines are perpendicular, then they form. Key Word: right angle (90 degrees) | right angles. |
If two lines form right angles, then the lines are ... | perpendicular. |