Transformations **Moving a point on a coordinate plane.

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Presentation transcript:

Transformations **Moving a point on a coordinate plane

Transformations - Moving a point on a coordinate plane Line Symmetry – an object is symmetric about a line ♂ List the upper case letters of the alphabet that have line symmetry

Line Reflection A B C A’ B’ C’ Properties preserved: D’D The preimage of A’ is A Notation: r l (ABC)→A’B’C’ -Equal distance from the line of reflection - Perpendicular to the line of reflection l

2. Tell which of the following words have line symmetry. If line symmetry exists, draw the line(s). a. DADb. MOMc. HIKEDd. CHECK e. BOBf. DEEDg. RADARh. CHOKE i. AVAj. TOOTk. AXIOMl. YOUTH

In 4-10, the reflection of Triangle ABC in line k is triangle DEC A B C D E 4. What is the image of point A under the line reflection? D ECA 8. What is the preimage of point B under the line reflection? E k

In 11-24, draw lines of symmetry for each of the figures

1. Under a reflection in the x-axis, the image of (x,y) is __________ 2. Under a reflection in the y-axis, the image of (x,y) is __________ 3. Under a reflection in the line y=x, the image of (x,y) is __________ (-2,4) (-2,-4) (2,4) (4,-2)

Remember the following Rules: These are the first three rules that you are to remember.

Homework Page 2: 4-16 even Page 2: 4-16 even

Find the image of the point under a reflection in the x-axis 4. (5,7) 6. (-1,-4)

Find the image of the point under a reflection in the y-axis 8. (5,7) 10. (0,6)

Find the image of the point under a reflection in the line y=x 12. (5,7) 14. (0,-2)

16. Using the rule (x,y)→(x,-y), find the images of C(1,4), A(5,1), and T(4,5), namely C’, A’, T’. Distance is preserved under the given transformation.