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Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

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Angle An angle measuring less than 90° but greater than 0° The angle is

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Page 1: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

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

Unit 5 Unit 5 VocabularVocabular

yy

Page 3: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

Angle • An angle measuring less than 90° but greater

than 0°

The angle is

ABC

Page 4: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

Circle • The set of points on a plane at a certain

distance, or radius, from a single point, the center

Page 5: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

Arc Length The distance between the endpoints of an arc.

Written as d(ABC)

Page 12: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

How far apart are the points on the line

segment?

Page 13: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

How far apart are the points on the line

segment?

Hmmm…

Page 14: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

Right Angle

An angle that measures 90°.

Page 15: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

Acute Angle An angle measuring less than 90° but greater than 0°.

Page 16: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

Obtuse AngleAn angle measuring greater than 90° but less than 180°.

Page 17: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

One-to-One A relationship wherein each point in a set of points is mapped to exactly one other point.

Page 18: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

Pre-image The original figure before undergoing a transformation.

Page 19: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

Image

The new, resulting figure after a transformation

Page 20: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

Isometry

A transformation in which the preimage and image are congruent.

Page 21: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

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.

Page 22: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

Which of the following are rigid transformations?

(Isometry)

Page 23: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55
Page 24: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

Find the value of each variable, given that the transformation is an isometry.

72 x6

23 y10

4 ,12 yx

Page 25: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

Congruent Figures are congruent if they have the same shape, size, lines, and angles.

Page 26: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

Similar Triangles

Triangles are similar if they have the same shape but have different sizes.

Page 27: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

CWCWVocabulary Practice WS

Page 28: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

Even and Even and Odd Odd

FunctionFunctionss

Page 29: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

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

Page 30: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

BEWARE OF

CONSTANTSAll constants

really have a x0

Page 31: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

x0 is EVEN

!!

Page 32: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

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).

Page 33: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

f x x x( ) 3

Even, Odd or Neither?Ex. 1Algebraically

1

Page 34: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

f x x( ) 2 1

Even, Odd or Neither?Algebraically

Ex. 2

x0

Page 35: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

Ex. 3 Even, Odd or Neither?

Graphically

Page 36: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

Ex. 4 Even, Odd or Neither?

Graphically

Page 37: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

4( ) 2 3f x x 3( )f x x x

Even, Odd or Neither?

x0

1

Page 38: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

Even, Odd or Neither?

x0 3f x x 35f x x 2 4f x x

Page 39: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

Even, Odd or Neither?

1 x0 3 2f x x x 3 2f x x x 3 4 1f x x x 1

Page 40: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

Even, Odd or Neither?

Page 41: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

Even, Odd or Neither?

Page 42: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

If the dots shown are part of an even function, what points are also on the

function?

Page 43: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

If the dots shown are part of an odd function, what points

are also on the function?

Page 44: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55
Page 45: Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55

HWHWPractice WS