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Unit 5 Transformations in the Coordinate Plane

Unit 5 Transformations in the Coordinate Plane. Unit 5 Calendar. Today: vocab Thurs 1/17: Define translations Tues 1/22: Apply translations (quiz) Thurs 1/24: Combinations Mon 1/28: Apply Combo (quiz) Wed 1/30: Review & Unit TEST. Unit 5 Vocabulary. Angle.

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Unit 5 Transformations in the Coordinate Plane

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  1. Unit 5 Transformations in the Coordinate Plane

  2. Unit 5 Calendar Today: vocab Thurs 1/17: Define translations Tues 1/22: Apply translations (quiz) Thurs 1/24: Combinations Mon 1/28: Apply Combo (quiz) Wed 1/30: Review & Unit TEST

  3. Unit 5 Vocabulary

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

  5. Circle • The set of points on a plane at a certain distance, or radius, from a single point, the center

  6. Perpendicular Line Two lines that intersect at a right angle (90°). Written as

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

  8. Line Segment A line with two endpoints. Written as

  9. Point An exact position or location in a given plane. Point A or Point B

  10. 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

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

  12. Right Angle An angle that measures 90°.

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

  14. Obtuse Angle An angle measuring greater than 90° but less than 180°.

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

  16. Pre-image The original figure before undergoing a transformation.

  17. Image The new, resulting figure after a transformation

  18. Isometry A transformation in which the preimage and image are congruent.

  19. Transformations are called RIGID if every image is congruent to its preimage. Rigid transformations can also be referred to as an ISOMETRY. Every segment is congruent to its image.

  20. Which of the following are rigid transformations? (Isometry)

  21. Isometries not onlypreserve lengths, butthey preserve angle measures,parallel lines, andbetweenness of points

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

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

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

  25. Even and Odd Functions

  26. Algebraically A function is even if All of the exponents of the variable are even. A function is odd if All of the exponents of the variable are odd. A function is neither if The exponents are a mixture of odd and even

  27. BEWARE OF CONSTANTS All constants really have an x0

  28. x0 is EVEN!!

  29. Even, Odd or Neither? Ex. 1 Algebraically 1 ODD

  30. Even, Odd or Neither? Ex. 2 Algebraically x0 EVEN

  31. Even, Odd or Neither? 1 x0 EVEN ODD

  32. Even, Odd or Neither? x0 ODD ODD Even

  33. Even, Odd or Neither? 1 1 x0 neither ODD neither

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