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Warm-Up (Do not write questions.)
1. Set up an equation/inequality to represent the situation How many weeks did Luc have to save in order to afford his game system? 2. A ringtone app charges $10 a month for the service plus 25 cents for each ringtone downloaded. What is the equation that models the total fee?
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Point An exact position or location in a given plane.
Is represented by a dot and named with a capital letter. Point A or Point B
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Agenda Review Do Now Lesson on Geometric Terminology
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Line The set of points between points P and Q in a plane and the infinite number of points that continue beyond the points. Written as Q P
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Line Segment A line with two endpoints. Written as
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Ray A line that has one endpoint and continues on forever in the opposite direction. B C D E A
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Circle The set of points on a plane at a certain distance, or radius, from a single point, the center
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Angle Made up of 2 rays joined together at a common point called a vertex. The angle is
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Perpendicular Line Two lines that intersect at a right angle (90°).
Written as
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Parallel Line Lines in a plane that either do not share any points and never intersect, or share all points. Written as
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Distance along a line The linear distance between two points on a given line.
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How far apart are the points on the line segment?
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How far apart are the points on the line segment?
Hmmm…
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Degrees The unit of measure for angles.
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Acute Angle An angle measuring less than 90° but greater than 0°.
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Right Angle An angle that measures 90°.
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Obtuse Angle An angle measuring greater than 90° but less than 180°.
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Straight Angle An angle measuring exactly 180°.
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Adjacent Angles Two angles that share a common vertex and side.
SIDE BY SIDE
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Vertical Angles Two angles directly across from each other. They share a common vertex. h f e g
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Linear Pair Two adjacent angles that form a straight line. 1 2
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Complementary Angles Two angles that add up to 90 degrees. 1 2
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Supplementary Angles Two angles that add up to 180°. 1 2
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Interior Angle = Inside Angle
B C Exterior Angle= Outside Angle
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*Use your vocabulary to help you!
Guided Practice *Use your vocabulary to help you! The easiest thing to do is to plug in 1 and -1 (or 2 and -2) if you get the same y, then it’s Even. If you get the opposite y, then it’s Odd. If you get different y’s, then it’s Neither.
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Line Symmetry Line of Symmetry: The line where you could fold the image and have both halves match exactly.
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Examples
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Guided Practice
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Complete Independent Practice
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Rotational Symmetry Rotational Symmetry: If there is a center rotation less than 360 degrees where an object will look the same again Order of Rotational Symmetry: The number of center rotation a figure can be rotated to, without bringing in any changes to the way it looks originally,
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Video
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Examples Orders of rotational symmetry ______ Orders of rotational symmetry ______ Degrees of rotational symmetry _____ Degrees of rotational symmetry _____
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Formula Rotational Symmetry
Formula: 360° / order of rotational symmetry Example: triangle has 3 orders of rotational symmetry The rotational symmetry : 360°/3 = 120°
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Guided Practice Square Orders of rotational symmetry __4___ Degrees of Rotational Symmetry:___90__ Pentagon Orders of rotational symmetry ___5__ Degrees of Rotational Symmetry:__72___ Hexagon Orders of rotational symmetry __6___ Degrees of Rotational Symmetry:__60___ Heptagon Orders of rotational symmetry ___7__ Degrees of Rotational Symmetry:__51.43___ Octagon Orders of rotational symmetry ___8__ Degrees of Rotational Symmetry:__45___
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Complete Independent Practice
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Exit Ticket Does the figure above have line symmetry? If so, how many lines of symmetry does it have? Does the figure above have rotational symmetry? If so, what is it’s order of rotation? What do we call the set of points on a plane at a certain distance , or radius, from a single point, the center?
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