SECTION 7 7 IDENTIFYING TYPES OF SYMMETRY ON

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SECTION 7. 7 IDENTIFYING TYPES OF SYMMETRY ON THE CARTESIAN PLANE © Copyright all

SECTION 7. 7 IDENTIFYING TYPES OF SYMMETRY ON THE CARTESIAN PLANE © Copyright all rights reserved to Homework depot: www. BCMath. ca

TYPES OF SYMMETRY ON A CARTESIAN PLANE There are several different types of symmetry:

TYPES OF SYMMETRY ON A CARTESIAN PLANE There are several different types of symmetry: Reflections: � Horizontal reflected over the Y-axis (side ways) � Vertical Reflected over the X-axis (Up/Down) � Diagonal Reflected over the line y = x (Up Right) Rotations � Rotate an image about a point � Quarter Rotation – 90 degrees, Half Rotation – 180 degrees � CW – clockwise rotation, CCW – counter clockwise rotation In this lesson, we will identify which symmetry is required to transform one object to another image © Copyright all rights reserved to Homework depot: www. BCMath. ca

EX: WHAT TYPE OF SYMMETRY IS REQUIRED TO TRANSFORM THE BLUE OBJECT TO THE

EX: WHAT TYPE OF SYMMETRY IS REQUIRED TO TRANSFORM THE BLUE OBJECT TO THE RED IMAGE? y 5 4 4 3 3 2 2 1 1 -5 -4 -3 -2 -1 0 1 -1 x 2 3 4 5 -5 -4 -3 -2 -1 0 1 -1 -2 -2 -3 -3 -4 -4 -5 -5 Would it be a reflection? Would it be a rotation? YES Notice that all the dotted lines cross at a point? This is the point of rotation x 2 3 Would it be a reflection? Would it be a rotation? YES 4 5 YES © Copyright all rights reserved to Homework depot: www. BCMath. ca

EX: WHICH OF THE FOLLOWING TRANSFORMATION WILL CHANGE THE OBJECT (BLUE) TO THE IMAGE

EX: WHICH OF THE FOLLOWING TRANSFORMATION WILL CHANGE THE OBJECT (BLUE) TO THE IMAGE (RED) y 5 A) Reflection over the X-axis NO 4 B) Reflection over the Y-axis YES 3 C) 180° rotation about the origin 2 1 -5 -4 -3 -2 -1 0 1 -1 -2 -3 -4 x 2 3 4 5 NO D) 90° CW rotation about the origin E) 90° CCW rotation about the origin YES NO Both answers B) and D) are correct -5 © Copyright all rights reserved to Homework depot: www. BCMath. ca

INDICATE THE TYPE OF SYMMETRY FOR THE FOLLOWING TRANSFORMATION: y 5 4 3 2

INDICATE THE TYPE OF SYMMETRY FOR THE FOLLOWING TRANSFORMATION: y 5 4 3 2 -2 NO B) Reflection over the Y-axis NO C) Reflection over the line X = 1 1 -5 -4 -3 -2 -1 0 1 -1 A) Reflection over the X-axis x 2 3 4 5 YES D) 90° CW rotation about the point (1, – 1) NO E) A translation of 6 units to the right YES -3 -4 -5 © Copyright all rights reserved to Homework depot: www. BCMath. ca

HOMEWORK: P 373 # 6 – 9, 11 – 13, 15 © Copyright all

HOMEWORK: P 373 # 6 – 9, 11 – 13, 15 © Copyright all rights reserved to Homework depot: www. BCMath. ca