Topic 3 Coordinate Plane Transformation Exploration Activity
Rule A: (x, y) -> (-x, y) Step 1 - Has been completed for you. For Rules B through G, you will need to produce your own triangle.
Rule A: (x, y) -> (-x, y) Step 2
State the coordinates of the IMAGE triangle after applying the rule to the PREIMAGE triangle.
Rule A: (x, y) -> (-x, y) Step 3 Directions for Graphing IMAGE triangle on coordinate plane
Rule A: (x, y) -> (-x, y) Step 4 Identify the Transformation
Identify the transformation, which includes a line or its degree. - reflection over y = 0, also called the x-axis - reflection over the x = 0, also called the y-axis - rotate 90 degrees to the left, called a positive 90 degrees - rotate 90 degrees to the right, , called a positive 90 degrees - reflection over the y = 1x + 0, in simplified form y = x. - reflection over the y = -1x + 0, in simplified form y = -x. Copy and Paste your Answer
Rule A: (x, y) -> (-x, y) Step 5 Directions to Confirm your selected Transformation
to determine the transformation.
Directions: For reflection over axis: select triangle then axis
For reflection of y = x or y = -x, use 
to draw in y = x or y = -x. Then select the triangle then the line.
For rotation, copy and paste either: rotate(polygon(A, B, C),90) or rotate(polygon(A, B, C),-90)
Rule A: (x, y) -> (-x, y) Step 6 Confirm your selected transformation is correct.
to construct a scalene triangle ABC. The points will snap to integers.
Use the select tool 
to select each individual vertex of the triangle. Move the mouse, which looks like a hand, to select 
. After pressing, select the Name & value. The coordinates for each vertex should appear.
Rule B: (x, y) -> (x, -y) Step 1 Graph
State the coordinates of the IMAGE triangle after applying the rule to the PREIMAGE triangle.
Rule B: (x, y) -> (x, -y) Step 1 Directions for the triangle
Rule B: (x, y) -> (x, -y) Step 2
Rule B: (x, y) -> (x, -y) Step 2: Directions for Image triangle
Select the transformation, which includes a line or its degree. - reflection over y = 0, also called the x-axis - reflection over the x = 0, also called the y-axis - rotate 90 degrees to the left, called a positive 90 degrees - rotate 90 degrees to the right, , called a positive 90 degrees - reflection over the y = 1x + 0, in simplified form y = x. - reflection over the y = -1x + 0, in simplified form y = -x. Copy and Paste your Answer
Rule B: (x, y) -> (x, -y) Step 3 Identify the Transformation for
to determine the transformation.
Directions: For reflection over axis: select triangle then axis
For reflection of y = x or y = -x, use to draw in y = x or y = -x. Then select the triangle then the line.
For rotation, copy and paste either: rotate(polygon(A, B, C),90) or rotate(polygon(A, B, C),-90)
Rule B: (x, y) -> (x, -y) Step 4: Confirm your selected Transformation
Rule C: (x, y)-> (-x, -y) Step 1
Rule C: (x, y)-> (-x, -y) Step 2 Directions for Graphing IMAGE triangle on coordinate plane
Select the transformation, which includes a line or its degree. - reflection over y = 0, also called the x-axis - reflection over the x = 0, also called the y-axis - rotate 90 degrees to the left, called a positive 90 degrees - rotate 90 degrees to the right, , called a positive 90 degrees - reflection over the y = 1x + 0, in simplified form y = x. - reflection over the y = -1x + 0, in simplified form y = -x. Copy and Paste your Answer
Rule C: (x, y)-> (-x, -y) Step 3 Identify the Transformation
to determine the transformation.
Directions: For reflection over axis: select triangle then axis
For reflection of y = x or y = -x, use to draw in y = x or y = -x. Then select the triangle then the line.
For rotation, copy and paste either: rotate(polygon(A, B, C),90) or rotate(polygon(A, B, C),-90)
Rule C: (x, y)-> (-x, -y) Step 4 Directions to Confirm your selected Transformation
Rule D: (x, y) -> (y, x) Step 1
Rule D: (x, y) -> (y, x) Step 1
Rule D: (x, y) -> (y, x) Step 1
Rule D: (x, y) -> (y, x) Step 2 Directions for Graphing IMAGE triangle on coordinate plane
Rule D: (x, y) -> (y, x) Step 2 Directions for Graphing IMAGE triangle on coordinate plane
Rule D: (x, y) -> (y, x) Step 2 Directions for Graphing IMAGE triangle on coordinate plane
Select the transformation, which includes a line or its degree. - reflection over y = 0, also called the x-axis - reflection over the x = 0, also called the y-axis - rotate 90 degrees to the left, called a positive 90 degrees - rotate 90 degrees to the right, , called a positive 90 degrees - reflection over the y = 1x + 0, in simplified form y = x. - reflection over the y = -1x + 0, in simplified form y = -x. Copy and Paste your Answer
Rule D: (x, y) -> (y, x) Step 3 Identify the Transformation
to determine the transformation.
Directions: For reflection over axis: select triangle then axis
For reflection of y = x or y = -x, use to draw in y = x or y = -x. Then select the triangle then the line.
For rotation, copy and paste either: rotate(polygon(A, B, C),90) or rotate(polygon(A, B, C),-90)
Rule D: (x, y) -> (y, x) Step 4 Directions to Confirm your selected Transformation
Select the transformation, which includes a line or its degree. - reflection over y = 0, also called the x-axis - reflection over the x = 0, also called the y-axis - rotate 90 degrees to the left, called a positive 90 degrees - rotate 90 degrees to the right, , called a positive 90 degrees - reflection over the y = 1x + 0, in simplified form y = x. - reflection over the y = -1x + 0, in simplified form y = -x. Copy and Paste your Answer
Rule E: (x, y)-> (-y, -x) Step 1
Select the transformation, which includes a line or its degree. - reflection over y = 0, also called the x-axis - reflection over the x = 0, also called the y-axis - rotate 90 degrees to the left, called a positive 90 degrees - rotate 90 degrees to the right, , called a positive 90 degrees - reflection over the y = 1x + 0, in simplified form y = x. - reflection over the y = -1x + 0, in simplified form y = -x. Copy and Paste your Answer
Rule E: (x, y)-> (-y, -x) Step 2 Directions for Graphing IMAGE triangle on coordinate plane
to determine the transformation.
Directions: For reflection over axis: select triangle then axis
For reflection of y = x or y = -x, use to draw in y = x or y = -x. Then select the triangle then the line.
For rotation, copy and paste either: rotate(polygon(A, B, C),90) or rotate(polygon(A, B, C),-90)
Rule E: (x, y)-> (-y, -x) Step 3 Identify the Transformation
to determine the transformation.
Directions: For reflection over axis: select triangle then axis
For reflection of y = x or y = -x, use to draw in y = x or y = -x. Then select the triangle then the line.
For rotation, copy and paste either: rotate(polygon(A, B, C),90) or rotate(polygon(A, B, C),-90)
Rule E: (x, y)-> (-y, -x) Step 4 Directions to Confirm your selected Transformation
to determine the transformation.
Directions: For reflection over axis: select triangle then axis
For reflection of y = x or y = -x, use to draw in y = x or y = -x. Then select the triangle then the line.
For rotation, copy and paste either: rotate(polygon(A, B, C),90) or rotate(polygon(A, B, C),-90)
Rule E: (x, y)-> (-y, -x) Step 4 Directions to Confirm your selected Transformation
to determine the transformation.
Directions: For reflection over axis: select triangle then axis
For reflection of y = x or y = -x, use to draw in y = x or y = -x. Then select the triangle then the line.
For rotation, copy and paste either: rotate(polygon(A, B, C),90) or rotate(polygon(A, B, C),-90)
Rule F: (x, y) -> ( y, -x)
Rule F: (x, y) -> ( y, -x) Step 1
Rule G: (x, y) -> (-y, x)
Rule F: (x, y) -> ( y, -x) Step 2 Directions for Graphing IMAGE triangle on coordinate plane
Rule C: (x, y)-> (-x, -y) Step 4 Directions to Confirm your selected Transformation
Select the transformation, which includes a line or its degree. - reflection over y = 0, also called the x-axis - reflection over the x = 0, also called the y-axis - rotate 90 degrees to the left, called a positive 90 degrees - rotate 90 degrees to the right, , called a positive 90 degrees - reflection over the y = 1x + 0, in simplified form y = x. - reflection over the y = -1x + 0, in simplified form y = -x. Copy and Paste your Answer
Rule F: (x, y) -> ( y, -x) Step 3 Identify the Transformation
Select the transformation, which includes a line or its degree. - reflection over y = 0, also called the x-axis - reflection over the x = 0, also called the y-axis - rotate 90 degrees to the left, called a positive 90 degrees - rotate 90 degrees to the right, , called a positive 90 degrees - reflection over the y = 1x + 0, in simplified form y = x. - reflection over the y = -1x + 0, in simplified form y = -x. Copy and Paste your Answer