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Geometry 1.1.1 p.6 Chapter 1 Math Notes Term: Definition: Lines of Symmetry: Reflection Symmetry: Define reflection symmetry: Line of Symmetry: Define line of symmetry: Name:____________ Sketch an example of the following: 1.1.2 p.11 The Investigative Process: One line of symmetry 2 lines of symmetry Draw the investigative process: Write an example of a question:_____________________ ______________________________________________ Define and write an example of the following: Conjecture: Exploration: Prove: 1.1.3 p.16 Perimeter: Definition: 5 Find the perimeter: 8 6 4 Area: Definition: 5 Find the area: 3 1.1.4 p. 21 Term: Solving Linear Equations: Definition: Solve the following equation, show all steps and circle your final answer. 3x 2 4 x 6 1.1.5 p. 26 Types of Angles: Define and sketch an example of each of the following angles: Acute: Right: Obtuse: Straight: Circular: 1.2.1 p.31 Probability Vocabulary and Definitions: Define each of the terms listed to the left: Event: Successful event: Probability: Experimental Probability: Theoretical Probability: The Math Note contains a mistake for the probability of rolling an even number on a die. What is the actual probability? 1.2.2 p.37 Term: Rigid Transformations: Definition: Define the following AND sketch an example of each: Translation: Reflection: Line of Reflection: Rotation: Prime notation: What does it mean to be mapped? 1.2.4 p.47 Formal Definitions of Rigid Transformations: Using the diagram and the math notes answer the following questions: (Use the diagram in your book to answer the questions) What is the angle formed by the line connecting A to A’?____ Reflections: The line of reflection ___________ (cuts in half) the line segment connecting each image point with its corresponding point on the original figure. Based on the picture, AP=_____. Fill in the blanks: The line l is the _______________ ______________ (2 words) of the segment AA’. Rotations: A rotation about a point O, means that the angles formed between any point P and its image P’ ( POP ' ) will be _______________. Translations: When a figure is translated the segments connecting each point to its image are ______________ and _____________. 1.2.5 p.52 Term: Polygons: Definition: Define polygon: Sketch 2 polygons: 1.2.6 p.59 Regular Polygons: Define regular polygon: Slope: Sketch a regular polygon: What makes this polygon regular?___________________ Define slope: Slope= vertical change horizontal change Slope indicates both how ____________ a line is and its direction. If a slope is _____________, the line goes up from left to right, and if a slope is negative, the line goes________. A horizontal line has ___________slope, and the slope of a vertical line is ______________. Parallel Lines: Perpendicular: Fill in the blanks below: Parallel lines lie in the _______ plane and ______ intersect. They have the _______ steepness, and grow at the same rate (same slope ). Perpendicular lines are lines that intersect at a _____ angle. Slopes of Parallel lines: Slopes of Perpendicular lines: Give an example of opposite reciprocals: 1.3.1 p.64 Venn diagram: In the equation, y mx b , the slope is denoted by: _______ Define: Sketch and label an example: