Reflections

Presentation

•

Mathematics

•

10th Grade

•

Easy

•

CCSS

8.G.A.3, HSG.CO.A.2, 5.G.A.2

Standards-aligned

Sydney Elkin

Used 70+ times

FREE Resource

4 Slides • 22 Questions

Reflections

by Sydney Elkin

What is a reflection?

A reflection is a type of transformation that "flips" an image.

Because the pre-image and image are congruent, reflections are rigid motions.

Multiple Choice

What type of transformation is the image to the left?

Translation

Reflection

Neither

Some reflections have definite rules

Across the x-axis
Across the y-axis
Across the line y=x
Across the line y=-x

Multiple Choice

y-axis

x-axis

y=x

y=-x

Multiple Choice

y-axis

x-axis

y=x

y=-x

Multiple Choice

y-axis

x-axis

y=x

y=-x

Multiple Choice

y-axis

x-axis

y=x

y=-x

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Topics You Need to Know

Reflections are rigid motions
Reflections can take place over either axis or any line
Reflections over the y-axis, x-axis, y=x or y=-x all have specific rules
The line of reflection is a perpendicular bisector of any segment connecting a point in the pre-image to its corresponding point in the image
If a point in the pre-image and image are the same, then it lies on the line of reflection.

Multiple Choice

Is the picture being reflected in the y-axis or x-axis?

y-axis

x-axis

Multiple Choice

Reflect a figure over the y-axis-

Change the x-coordinate

Change the y-coordinate

Multiple Choice

Reflect a figure over the x-axis-

Change the x-coordinate

Change the y-coordiate

Multiple Choice

Describe the transformation shown in the graph.

Reflect over x-axis

Reflect over y-axis

Rotate 180 degrees

Translate 4 units right

Multiple Choice

Describe the transformation shown on the graph.

Reflect over x-axis

Reflect over y-axis

Rotate 180 degrees

Rotate 90 degrees CCW

Multiple Choice

What is this transformation? (x, y) ----> (-x, y)

Reflect over the x axis

Reflect over the y-axis

Slide down 1

slide left 1

Multiple Choice

State the line of reflection.

Reflection across y-axis

Reflection across x-axis

Reflection across x = 1

Reflection across y = 1

Multiple Choice

How do you represent a translation Algebraically?

(-y, -x)

(x + a, y + b)

(-x , -y)

(ax, by)

Multiple Choice

What is the algebraic representation of translating a figure 4 units down?

(x-4, y-4)

(x, y-4)

(x-4, y)

(x+4, y+4)

Multiple Choice

A slide is also called a _________.

Translation

Reflection

Rotation

Transformation

Multiple Choice

A turn is also called a ___________.

Translation

Reflection

Rotation

Transformation

Multiple Choice

Name the transformation.

Translation

Reflection

Rotation

Multiple Choice

Describe the Transformation

Translation

Reflection

Rotation

Multiple Choice

What Transformation is visible?

Reflection

Rotation

Dilation

Translation

Multiple Choice

After being transformed the new point is called a(n):

Pre-Image

Post Image

Transformed

Image

Multiple Choice

If you reflect point (-2,7) over the y-axis, what is its image point?

(2,7)

(2,-7)

(-2,-7)

(7,-2)

Multiple Choice

If a point remains unchanged after a reflection, then it lies on...

the line of symmetry

itself

the origin

point (5,6)

Reflections

by Sydney Elkin

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