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Transcript of Draw six segments that pass through every dot in the figure without taking your pencil off the...
![Page 1: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55.](https://reader033.fdocuments.us/reader033/viewer/2022052710/5a4d1b8e7f8b9ab0599c01b6/html5/thumbnails/1.jpg)
Draw six segments that pass through every dot in the figure without taking your pencil off the paper.
Session 55
![Page 2: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55.](https://reader033.fdocuments.us/reader033/viewer/2022052710/5a4d1b8e7f8b9ab0599c01b6/html5/thumbnails/2.jpg)
Unit 5 Unit 5 VocabularVocabular
yy
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Angle • An angle measuring less than 90° but greater
than 0°
The angle is
ABC
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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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Arc Length The distance between the endpoints of an arc.
Written as d(ABC)
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Perpendicular Line Two lines that intersect at a right angle (90°).Written as AB PQ
# # # # # # # # # # # # # # #
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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 AB PQ
# # # # # # # # # # # # # # #
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Line Segment
A line with two endpoints.Written as PQ
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Point
Point A or
Point B
An exact position or location in a given plane.
![Page 10: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55.](https://reader033.fdocuments.us/reader033/viewer/2022052710/5a4d1b8e7f8b9ab0599c01b6/html5/thumbnails/10.jpg)
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 PQ
#
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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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Right Angle
An angle that measures 90°.
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Acute Angle An angle measuring less than 90° but greater than 0°.
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Obtuse AngleAn angle measuring greater than 90° but less than 180°.
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One-to-One A relationship wherein each point in a set of points is mapped to exactly one other point.
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Pre-image The original figure before undergoing a transformation.
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Image
The new, resulting figure after a transformation
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Isometry
A transformation in which the preimage and image are congruent.
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Rigid transformations can also be referred to as an ISOMETRY.
Every segment is congruent to its image.
Transformations are called RIGID if every image is congruent to its preimage.
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Which of the following are rigid transformations?
(Isometry)
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![Page 24: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55.](https://reader033.fdocuments.us/reader033/viewer/2022052710/5a4d1b8e7f8b9ab0599c01b6/html5/thumbnails/24.jpg)
Find the value of each variable, given that the transformation is an isometry.
72 x6
23 y10
4 ,12 yx
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Congruent Figures are congruent if they have the same shape, size, lines, and angles.
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Similar Triangles
Triangles are similar if they have the same shape but have different sizes.
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CWCWVocabulary Practice WS
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Even and Even and Odd Odd
FunctionFunctionss
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AlgebraicallyAlgebraicallyA function is even if
A function is odd if
All of the exponents of the variable are even.
All of the exponents of the variable are odd.
A function is neither ifThe exponents are a mixture of odd and
even
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BEWARE OF
CONSTANTSAll constants
really have a x0
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x0 is EVEN
!!
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GraphicallyGraphicallyA function is even if
A function is odd if
The graph reflects across the y-axis (means you can fold it hotdog style and it would match up).
The graph has 180 rotational symmetry about the ORIGIN (means you could turn it upside-down & it would still look the same...it must go through the origin).
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f x x x( ) 3
Even, Odd or Neither?Ex. 1Algebraically
1
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f x x( ) 2 1
Even, Odd or Neither?Algebraically
Ex. 2
x0
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Ex. 3 Even, Odd or Neither?
Graphically
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Ex. 4 Even, Odd or Neither?
Graphically
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4( ) 2 3f x x 3( )f x x x
Even, Odd or Neither?
x0
1
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Even, Odd or Neither?
x0 3f x x 35f x x 2 4f x x
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Even, Odd or Neither?
1 x0 3 2f x x x 3 2f x x x 3 4 1f x x x 1
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Even, Odd or Neither?
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Even, Odd or Neither?
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If the dots shown are part of an even function, what points are also on the
function?
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If the dots shown are part of an odd function, what points
are also on the function?
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![Page 45: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55.](https://reader033.fdocuments.us/reader033/viewer/2022052710/5a4d1b8e7f8b9ab0599c01b6/html5/thumbnails/45.jpg)
HWHWPractice WS