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Download Basic Geometric Terms Point -has no dimension (no length or width
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Basic Geometric Terms Point Line Segment Line Ray -has no dimension (no length or width), but does have a location -a subset of a line that contains two endpoints and all points between those two points -straight and extends indefinitely in both directions -subset of a line that has one endpoint and extends indefinitely in the other direction . A . . . . . . A B A B A B Parallel Lines Perpendicular Lines Right Angle Obtuse Angle -two lines in the same plane that never intersect -two intersecting lines that form right angles -an angle whose measure is 900 -an angle whose measure is greater than 900 but less than 1800 *sometimes defined only as greater than 900. In that case straight and reflex angles would be considered special types of obtuse angles. Acute Angle Straight Angle Reflex Angle -an angle whose measure is less than 900 -an angle whose measure is 1800 -an angle whose measure is greater than 1800 . . . A B C Supplementary Angles Vertical Angles Adjacent Angles -angles whose measures add to 1800 -when 2 lines intersect, the angles opposite each other -angles that *share a common vertex *have a common side *have interiors that are disjoint 1 3 <1 and <3 are vertical angles Complementary Angles -angles whose measures add to 900 Two-Dimensional Figures Polygon Triangle Trapezoid Parallelogram -simple closed curve made up of line segments -polygon with 3 sides and 3 angles -a quadrilateral (a foursided polygon) with at least one pair of parallel sides -a quadrilateral with two pairs of parallel sides *curve-set of points you can trace without lifting your pencil *simple-never touch a point more than once when you trace it *closed-when you trace it, the starting and ending point are the same *sometimes defined as ONLY one pair of parallel sides Kite Rhombus Rectangle Square -a quadrilateral in which 2 pairs of adjacent sides are congruent -a parallelogram in which all sides are congruent -a parallelogram in which all angles are congruent -a parallelogram in which all angles and all sides are congruent Convex Concave Congruent -the line segment connecting any two points lies within the region -if you can draw a line segment between two points outside of the region -shapes are congruent if they have the same size and shape Radius Diameter Chord -line segment that connects a point on the circle to the center (the orange line on the diagram) -line segment that connects two points on the circle and passes through the center (the green line on the diagram) -line segment that connects two points on the circle (the red line on the diagram) *a diameter is also a chord Describe the different ways to classify triangles. Sides Scalene – no sides have the same length Isosceles – 2 sides have the same length Equilateral – all three sides have the same length Angles Right – one right angle, 2 acute angles Obtuse – one obtuse angle, 2 acute angles Acute – 3 acute angles Visually represent the relationships among the various quadrilaterals. Quadrilaterals kite trapezoid* parallelogram rhombus rectangle square *This visual can change based on what definition you use for trapezoids. This diagram makes the assumption that trapezoids have ONLY one pair of parallel sides.