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Matching Geometry - Vocabulary for Fall Midterm Vocab: Collinear Points Line Segment Congruent Segments Midpoint Ray Angle Bisector Parallel Lines Perpendicular Lines Skew Lines Acute angle Obtuse Angle Pair of Vertical Angles Convex Concave Consecutive Vertices Equilateral Trapezoid Kite Parallelogram Rhombus Rectangle Square Chord Secant Diameter Tangent Isometric Centroid Rotational Symmetry Inductive Conjecture Segment Bisector Median Midsegment Altitude Concurrent Incenter Circumcenter Orthocenter Circumscribed Inscribed Linear Pair of Counterexample Angles Diagonal Deductive Definitions: Measures less than 90º Drawing shows three sides of an object in one view, shows a three dimensional solid as a two dimensional drawing In a polygon, at least one diagonal is on the exterior of the polygon. At least one line that contains a side contains interior points. A circle that touches each side of the polygon at exactly one point A segment that connects two nonconsecutive vertices in a polygon Lines that are in the same plane that never meet An equilateral parallelogram The point of concurrency for three medians The segment connecting the vertex of a triangle to the midpoint of its opposite side Create a figure or real life example that fits your definition but isn’t what you’re trying to define Two angles that share a vertex and a common side and their noncommon sides from a line The point of concurrency for three angle bisectors A line that intersects a circle in exactly one point Angles formed by two intersecting lines; they share a common vertex but not a common side When three or more lines have a point in common A parallelogram with four congruent angles On the same line. The point of concurrency for three altitudes A circle that passes through each vertex of the polygon Share a common side in a polygon A ray if it contains the vertex and divides the angle into two congruent angles Consists of two points called the endpoints of the segment and all points between them that are collinear with the two points. The segment that connects the midpoints of two sides of a triangle The process of showing that certain statements follow logically from agreedupon assumptions and prove facts Begins at a point and extends infinitely in one direction An equilateral rectangle, an equiangular rhombus., a regular quadrilateral The point of concurrency for the perpendicular bisectors Measures more than 90º but less than 180º The perpendicular segment from a vertex to the opposite side or to a line containing the opposite side This process of reasoning is the act of coming to a general conclusion from particular facts Lines that meet at 90º angles The longest chord of a circle A quadrilateral with two pairs of parallel sides A line that intersects a circle in two points Two lines that do not intersect and are noncoplanar A line, ray, segment, or plane that passes through the midpoint of a segment A quadrilateral with exactly one pair of parallel sides Two segments are congruent segments iff they have the same measure or length The point on the segment that is the same distance from both endpoints This polygon has all sides the same length The generalization made as a result of inductive reasoning In a polygon, all diagonals are on the interior of the polygon. The lines that contain the sides do not contain the interior points. A segment whose endpoints lie on the circle A quadrilateral with two distinct pairs of consecutive congruent sides A design can be rotated around a point by less than a full circle and still look the same.