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Name __________________________________________ Date __________ Period _____ GEOMETRY VOCABULARY – UNIT 1 Term Section 1 POINT LINE COLLINEAR PLANE COPLANAR LINE SEGMENT RAY ENDPOINT POSTULATE Description A point names a location in 2 or 3 dimensions. It has NO size. A line is a straight path that has no thickness and infinitely extends in both directions. Collinear points lie on the same line . A plane is a flat surface that has no thickness and infinitely extends in all directions. Points or lines that lie on the same plane are called coplanar. A line segment is a straight path that begins at one point and ends at another point. It has a finite length A straight path that has a beginning but no end is called a ray. A point that begins or ends a line segment or begins a ray is called an endpoint A statement we are asked to accept as true is called a postulate (or axiom). Diagram How to Name It Use the word point and a capital letter. Point P Use a script cap: Plane V, or three coplanar points Plane FGH MORE GEOMETRY VOCABULARY – UNIT 1 Term OPPOSITE RAYS Section 2 CONSTRUCTION BETWEEN COORDINATES DISTANCE/LENGTH CONGRUENT SEGMENTS BISECT MIDPOINT SEGMENT BISECTOR PAGE 2 Description Opposite rays share a common endpoint and form a straight line. Construction is the process we use to create precise figures and diagrams A point lies between two other points if all 3 points are collinear. The markings on a ruler used to measure line segments are the coordinates of the ruler. Distance or length is the absolute value of the difference between two coordinates. Line segments that are the same length are congruent segments. To bisect a segment is to divide it into two congruent pieces. A midpoint is a point that bisects a line segment. A segment bisector is any point, line, line segment, ray, or plane that bisects a line segment. Diagram How to Name It We need another point to name any ray. MORE GEOMETRY VOCABULARY – UNIT 1 Term Section 3 ANGLE VERTEX INTERIOR/EXTERIOR OF AN ANGLE DEGREE MEASURE ACUTE ANGLE RIGHT ANGLE OBTUSE ANGLE STRAIGHT ANGLE Page 3 Description An angle is a figure formed by two rays with a common endpoint The vertex of an angle is found at the common endpoint of the two rays forming the angle. The interior of an angle is between the rays forming the angle. The exterior of an angle is outside the rays forming the angle. The measurement of 1/360 th of the one rotation it takes to form a circle is called a degree. Angle measure reveals how close an angle is to the 360O rotation of a complete circle . Therefore, angles are measured in degrees An acute angle has a measure between 0 and 90. A right angle has a measure of exactly 90 . An obtuse angle has a measure between 90 and 180. A straight angle has a measure of exactly 180 . Hang In There, Still More … Diagram How to Name It There are 4 ways to name the angle below: its unique vertex: Y by number: 2 the vertex and point on each side: XYZ or ZYX MORE GEOMETRY VOCABULARY – UNIT 1 Term CONGRUENT ANGLES ANGLE BISECTOR Section 4 ADJACENT ANGLES LINEAR PAIR COMPLEMENTARY ANGLES SUPPLEMENTARY ANGLES VERTICAL ANGLES Page 4 Description Congruent angles have the same measurement. A ray, line or line segment that divides an angle into two congruent angles is called an angle bisector. Adjacent angles share a common side. They lay next to each other without any gaps. Linear pairs are adjacent angles that form a straight angle of 180 . The measures of two Diagram How to Name It complementary angles Which pair are supplementary? supplementary angles Complementary? sum to 90 . The measures of two sum to 180 . When two lines intersect , the two angles opposite each other are called vertical angles. 1.5 COORDINATE PLANE COORDINATE