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

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

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Presentation transcript:

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

Unit 5 Vocabulary

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

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

Parallel Line Lines in a plane that either do not share any points and never intersect, or share all points. Written as

Line Segment A line with two endpoints. Written as

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

Distance along a line The linear distance between two points on a given line.

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 Angle An 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.

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.

CW CW Vocabulary Practice WS

Even and Odd Functions

Algebraically A 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 if The exponents are a mixture of odd and even

BEWARE OF CONSTANTS All constants really have a x 0

x 0 is EVEN!!

Graphically A 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).

Even, Odd or Neither? Ex. 1 Algebraically 1

Even, Odd or Neither? Algebraically Ex. 2 x0x0

Ex. 3 Even, Odd or Neither? Graphically

Ex. 4 Even, Odd or Neither? Graphically 

Even, Odd or Neither? x0x0 1

x0x0

1 x 0 1

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?

HW HW Practice WS