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GEOMETRY SECTION 7 REFLECTIONS & ROTATIONS Geometry S7 Day 3 1.

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Presentation on theme: "GEOMETRY SECTION 7 REFLECTIONS & ROTATIONS Geometry S7 Day 3 1."— Presentation transcript:

1 GEOMETRY SECTION 7 REFLECTIONS & ROTATIONS Geometry S7 Day 3 1

2 REFLECTIONS WE HAVE ALREADY LEARNED ABOUT REFLECTIONS, BUT NOW WE ARE GOING TO DISCUSS HOW WE CAN USE MATRICES IN DETERMINING THE VERTICES OF A NEW IMAGE AFTER A REFLECTION. WE HAVE ALREADY LEARNED ABOUT REFLECTIONS, BUT NOW WE ARE GOING TO DISCUSS HOW WE CAN USE MATRICES IN DETERMINING THE VERTICES OF A NEW IMAGE AFTER A REFLECTION. Geometry S7 Day 3 2

3 COORDINATE RULES FOR REFLECTIONS Geometry S7 Day 3 3

4 REFLECTION THEOREM A REFLECTION IS AN ISOMETRY MEANING THE NEW IMAGE IS CONGRUENT TO THE ORIGINAL Geometry S7 Day 3 4

5 REFLECTION MATRICES Geometry S7 Day 3 5

6 EXAMPLE 1 Geometry S7 Day 3 6

7 HOMEWORK ASSIGNMENT 7-3 Geometry S7 Day 3 7

8 ROTATIONS WE HAVE ALREADY DONE ROTATIONS BUT NOW WE ARE GOING TO DO ROTATIONS WITH MATRICES WE HAVE ALREADY DONE ROTATIONS BUT NOW WE ARE GOING TO DO ROTATIONS WITH MATRICES Geometry S7 Day 3 8

9 COORDINATE RULES FOR ROTATIONS Geometry S7 Day 3 9

10 ROTATION MATRICES- COUNTER- CLOCKWISE Geometry S7 Day 3 10

11 ROTATION MATRICES- CLOCKWISE Geometry S7 Day 3 11

12 ROTATION THEOREM A ROTATION IS AN ISOMETRY Geometry S7 Day 3 12

13 EXAMPLE 2 Geometry S7 Day 3 13

14 HOMEWORK ASSIGNMENT 7-4 Geometry S7 Day 3 14


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