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Ch. 1 - Geometry 10A
10th grade geometry A Chapter 1
Question | Answer |
---|---|
Adjacent Angles | Two coplanar angles that have a common side and a common vertex but no common interior points. |
Axiom or Postulate | An accepted statement of fact - one that has not been proven but is still considered true. |
Collinear | Points that lie on the same line. |
Complementary Angles | Two angles whose sum of their measures is 90 degrees. |
Congruent Angles | Angles that have the same measure. |
Congruent Segments | Segments that have the same measure. |
Conjecture | A conclusion reached by using inductive reasoning. |
Coplanar | Points or objects that lie on the same plane. |
Counterexample | A particular instance, situation or thing that makes the statement false. |
Foundation Drawing | An illustration showing the base of a structure and the height of each part. |
Inductive Reasoning | A type of logical thinking that reaches conclusions based on a pattern of specific examples or past events. |
Isometric Drawing | An illustration of a three-dimensional object showing a corner view of a figure. |
Midpoint | The point that divides a segment into two congruent segments. |
Net | A two-dimensional pattern that you can fold to form a three-dimensional figure. |
Orthographic Drawing | An illustration of a three-dimensional object showing the top, right and front views. |
Parallel Lines | Lines which lie in the same plane and do not intersect. They have the same "direction". |
Parallel Planes | Planes that do not interesect. |
Skew Lines | Lines that do not lie in the same plane (and do not intersect). They have different "directions". |
Straight Angle | An angle whose measure is 180 degrees. |
Supplementary Angles | Two angles whose sum of their measures is 180 degrees. |
Vertical Angles | Two angles with sides that are opposite rays. |
|a – b| | The formula for the distance between points on a number line. |
{(x1+x2)/2, (x1+x2)/2} | The formula for the midpoint of a line segment on a plane. |
A = Πr2 | The formula for the area of a circle. |
C = 2Πr = Πd | The formula for the circumference of a circle. |
A = BH = LW | The formula for the area of a rectangle. |
P = 2l + 2w = 2(l + w) | The formula for the perimeter of a rectangle. |
d = sq root of {(x2 - x1)^2 + (y2 - y1)^2} | The formula for the distance between points on a plane. |
Perpendicular bisector | A line, segment, or ray that divides a segment into two congruent segments and lies at a 90 degree angle. |
Angle bisector | A ray that divides an angle into two congruent angles. |