Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55
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Draw six segments that pass through every dot in the figure without taking your pencil off the paper.
Session 55
Unit 5 Unit 5 VocabularVocabular
yy
Angle • An angle measuring less than 90° but greater
than 0°
The angle is
ABC
Circle • The set of points on a plane at a certain
distance, or radius, from a single point, the center
Arc Length The distance between the endpoints of an arc.
Written as d(ABC)
Perpendicular Line Two lines that intersect at a right angle (90°).Written as AB PQ
# # # # # # # # # # # # # # #
Parallel Line Lines in a plane that either do not share any points and never intersect, or share all points.Written as AB PQ
# # # # # # # # # # # # # # #
Line Segment
A line with two endpoints.Written as PQ
Point
Point A or
Point B
An exact position or location in a given plane.
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
#
Distance along a line
The linear distance between two points on a given line.
How far apart are the points on the line
segment?
How far apart are the points on the line
segment?
Hmmm…
Right Angle
An angle that measures 90°.
Acute Angle An angle measuring less than 90° but greater than 0°.
Obtuse AngleAn angle measuring greater than 90° but less than 180°.
One-to-One A relationship wherein each point in a set of points is mapped to exactly one other point.
Pre-image The original figure before undergoing a transformation.
Image
The new, resulting figure after a transformation
Isometry
A transformation in which the preimage and image are congruent.
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.
Which of the following are rigid transformations?
(Isometry)
Find the value of each variable, given that the transformation is an isometry.
72 x6
23 y10
4 ,12 yx
Congruent Figures are congruent if they have the same shape, size, lines, and angles.
Similar Triangles
Triangles are similar if they have the same shape but have different sizes.
CWCWVocabulary Practice WS
Even and Even and Odd Odd
FunctionFunctionss
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
BEWARE OF
CONSTANTSAll constants
really have a x0
x0 is EVEN
!!
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).
f x x x( ) 3
Even, Odd or Neither?Ex. 1Algebraically
1
f x x( ) 2 1
Even, Odd or Neither?Algebraically
Ex. 2
x0
Ex. 3 Even, Odd or Neither?
Graphically
Ex. 4 Even, Odd or Neither?
Graphically
4( ) 2 3f x x 3( )f x x x
Even, Odd or Neither?
x0
1
Even, Odd or Neither?
x0 3f x x 35f x x 2 4f x x
Even, Odd or Neither?
1 x0 3 2f x x x 3 2f x x x 3 4 1f x x x 1
Even, Odd or Neither?
Even, Odd or Neither?
If the dots shown are part of an even function, what points are also on the
function?
If the dots shown are part of an odd function, what points
are also on the function?
HWHWPractice WS
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