4.6 Refelections

Open Ended

Why is it important to understand how to graph reflections of points in the coordinate plane?

Multiple Choice

Which term describes the point where the x-axis and y-axis intersect on a coordinate plane?

• Origin

• Quadrant

• Ordered Pair

• Reflection

Multiple Choice

Which of the following best describes a reflection of a point on the coordinate plane?

• Flipping a point over a line to create a mirror image

• Rotating a point around the origin

• Translating a point to a new location

• Scaling a point away from the origin

Multiple Select

Which of the following statements about reflections on the coordinate plane are correct?

• Reflection across the x-axis changes the sign of the y-coordinate.

• Reflection across the y-axis changes the sign of the x-coordinate.

• Reflection across the x-axis changes the sign of the x-coordinate.

• Reflection across the y-axis changes the sign of the y-coordinate.

Drag and Drop

Point A is located in Quadrant ​

Placeholder

, a reflection of Point A across the x-axis would be in Quadrant ​

Placeholder

.

Drag these tiles and drop them in the correct blank above

2

3

1

4

Multiple Choice

What is the ordered pair for P'?

• $$\left(1\frac{3}{4},\ 2\frac{3}{4}\right)$$

• $$\left(1\frac{3}{4},\ -2\frac{3}{4}\right)$$

• $$\left(-1\frac{3}{4},\ -2\frac{3}{4}\right)$$

Multiple Choice

Which of the following ordered pairs represents the reflection of S(-2, 2) across the y-axis?

• (2, 2)

• (-2, -2)

• (2, -2)

• (-2, 2)

Multiple Choice

Which axis is the point A(2 3/4, -4) reflected across to get A'(-2 3/4, -4)?

• x-axis

• y-axis

• y = x

• y = -x

Fill in the Blanks

A reflection across the

changes the sign of the x-coordinate but keeps the y-coordinate the same.

Multiple Choice

Which axis is the point T(-5, 6) reflected across to get T'(-5, -6)?

• x-axis

• y-axis

• y = x

• y = -x

Open Ended

Explain how you would find the location of the picnic tables if you know the playground is at (-3.5, -3.5) and the fountain is a reflection across the y-axis, then the picnic tables are a reflection across the x-axis.

Multiple Choice

What is the ordered pair for the location of the swing set if the flower garden is at (2 1/2, -1), the bench is a reflection across the x-axis, and the swing set is a reflection of the bench across the y-axis?

• (-2 1/2, 1)

• (2 1/2, 1)

• (-2 1/2, -1)

• (2 1/2, -1)

Fill in the Blanks

Graphing reflections of points in the coordinate plane involves using the

as a reference for reflection.

Open Ended

Reflecting on today's lesson, what is one strategy you learned for graphing reflections of points in the coordinate plane?