# Topic 3 Coordinate Plane Transformation Exploration Activity

- Author:
- Karen Rowe

## 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

**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.

## 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

**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

**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

**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

## Rule E: (x, y)-> (-y, -x) Step 1

## Rule E: (x, y)-> (-y, -x) Step 2 Directions for Graphing IMAGE triangle on coordinate plane

**rotate(polygon(A, B, C),90)**or

**rotate(polygon(A, B, C),-90)**

## Rule E: (x, y)-> (-y, -x) Step 3 Identify the Transformation

**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

**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

**rotate(polygon(A, B, C),90)**or

**rotate(polygon(A, B, C),-90)**