Rotations in Geometry: Exploring Reflections and Transformations
Dive into the world of geometry rotations by exploring reflections, transformations, and drawing rotations. Understand the elements of a rotation and practice drawing rotations with the help of demonstrations. Challenge yourself with geometry problems involving rotations to enhance your skills.
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Presentation Transcript
1. Plot the following points on your grid to draw the triangle 1,1 , 1,4 ,(3,1) y 6 2. Reflect this triangle in the ?-axis 4 2 x -6 -4 -2 4 6 0 2 3. Reflect your reflected triangle in the ?-axis -2 -4 -6 Draw the straight line that goes through these four points
Discuss: What do you notice? y 6 Try and use the following key words in your discussion: 4 2 Origin Clockwise Rotation Congruent x -6 -4 -2 4 6 0 2 -2 -4 -6
1. Plot the following points on your grid to draw the triangle 1,1 , 1,4 ,(3,1) y 6 2. Reflect this triangle in the line ? = 4 4 2 x -6 -4 -2 4 6 0 2 3. Reflect your reflected triangle in the line ? = 1 -2 -4 -6
Discuss: What do you notice? y 6 Try and use the following key words in your discussion: 4 2 Centre x -6 -4 -2 4 6 0 2 Anti - Clockwise Rotation Congruent -2 -4 -6
A rotation has to have three elements 1) A direction Clockwise or anticlockwise 2) An angle to turn through 90, 180, 270 3) A centre of rotation Usually labelled c
In todays lesson we are going to be drawing and describing rotations
Demonstration Rotating a shape
Practice Fluency
CHALLENGE A has coordinates (4,4) and B is obtained by rotating A about the origin O through an angle of 135 anti-clockwise. Calculate the area of triangle AOB.
