St. James-02-24-2025-Transforamtions in the Coordinate Plane

Open Ended

Pick ONE of the boxes below that has the most in common with the box on the right.

Write your reasoning using a complete sentence(s).

Explanation Slide...

D. is the correct answer.The star is placed inside all of the circles and the square.

Geometric Transformations
in the Coordinate Plane

Reflections

Rotation

Translation

Dilation

​Coordinate Geometry Review

18

Reflection across y-axis

Reflection across x-axis

Preimage

Image

(3, 4)

(2, 1)

Preimage

Image

(-2, 4)

(-2, -4)

4

Academic Vocabulary

Reflection

pre-image

image

Line of

reflection

Open Ended

Let's Discuss.

1.What is the same for each point?

2.What is different for each point?

3.What is the rule for reflecting over the x-axis?

Open Ended

Let's Discuss.

1.What is the same for each point?

2.What is different for each point?

3.What is the rule for reflecting over the x-axis?

Multiple Choice

What are the coordinates for B' after a reflection over the x-axis?

• (-2,4)

• (4,-2)

• (-2,-4)

• (2,4)

Open Ended

Let's Discuss.

1.What is the same for each point?

2.What is different for each point?

3.What is the rule for reflecting over the y-axis?

Multiple Choice

What are the coordinates for C' after a reflection over the y-axis?

• (1,2)

• (-1,-2)

• (2,1)

• (-1,2)

Open Ended

Let's Discuss.

1.What is the same for each point?

2.What is different for each point?

3.What is the rule for reflecting over the line y = x?

Multiple Choice

What are the coordinates for A' after a reflection over the line y=x?

• (-5,2)

• (2,-5)

• (5,2)

• (2,5)

Open Ended

Let's Discuss.

What do you think is the line of reflection? Why?

Hint: It is not the x-axis, y-axis, or the line y = x.

Open Ended

Exit Ticket

Write the rule for each of the following.

1) r_(x-axis)

2) r_(y-axis)

3)r_(y=x)