What is a congruent transformation?

A congruent transformation is a transformation that preserves the shape and size of a figure.

A congruent transformation is a transformation that changes the shape and size of a figure.

A congruent transformation is a transformation that only preserves the shape of a figure.

A congruent transformation is a transformation that only preserves the size of a figure.

Choose the sequence of transformations that includes ALL of the required information. (Read them carefully)

Rotate 90 degrees counterclockwise about the origin, then reflect across the x-axis

Rotate 90 degrees about the origin, then reflect across the x-axis

Rotate 90 degrees counterclockwise, then reflect across the x-axis

Choose the sequence of transformations that includes ALL of the required information. (Read them carefully)

Reflect across the x-axis, then translate 5 right and 2 down

Reflect across the x-axis, then translate diagonally

Reflect, then translate 5 right and 2 down

Choose the sequence of transformations that includes ALL of the required information. (Read them carefully)

Rotate 90 degrees counterclockwise about the origin, and then reflect across the y-axis

Rotate 90 degrees about the origin, and then reflect across the y-axis

Rotate 90 degrees counterclockwise, and then reflect across the y-axis

How would you prove that these two figures are NOT congruent?

Show that a pair of corresponding sides were not the same length

Describe a sequence of transformations that would take one figure to the next

Choose the sequence of transformations that includes ALL of the required information. (Read them carefully)

Translate 2 units up and 5 units right, and then rotate 90 degrees clockwise about the origin.

Translate 2 units up and 5 units right, and then rotate 90 degrees clockwise.

Translate diagonally & then rotate 90 degrees clockwise about the origin.

Which description PROVES that these figures are NOT congruent?

The top side of figure A is 5 units long, but the top sides of figure A' is only 3.5 units long.

Which of the following is a way to prove that triangle ABC is congruent to triangle FED ?

Triangle ABC can be translated down two units, right 3 units and then reflected over a vertical line that goes through point d .

Rotation of 180 degrees in the middle of vertices c and d.

A single reflection over a vertical line halfway between the two triangles.

Triangle ABC can be translated down two units and then reflected over a horizontal line that goes through point d .

Is figure A congruent to figure B ?

Yes, figure A can be rotated 180 degrees from the origin to become figure B.

Yes, figure A can reflected over the x-axis, then translated 4 units to the right to become figure B.

No, figure B is too small to be a rotation of figure A.

No, figure A cannot be transformed to become figure B.

Carolyn made the shape on the left, and Katherine made the shape on the right. Each shape uses 2 eyes and a mouth. Select all true statements.

The eyes in Katherine's face are congruent to the eyes in Carolyn's face.

The mouth in Carolyn's face is congruent to the mouth in Katherine's face.

Katherine's face is congruent to Carolyn's face.

Triangle NOL is the image of triangle LMN after a 180 degree rotation around the midpoint of segment LN . Triangle QNM is the image of triangle LMN after a 180 degree rotation around the midpoint of segment MN . Explain why OQ and LM are parallel.

If you rotate a line 180 degrees around a point NOT on the line, then you will have parallel lines.

If you rotate a line 180 degrees around a point ON the line, then you will have parallel lines.

If you rotate a line 90 degrees around a point NOT on the line, then you will have parallel lines.

If you rotate a line 90 degrees around a point ON the line, then you will have parallel lines.

Which series of transformations does NOT prove that triangle in figure A is congruent to the triangle in figure A' ?

a reflection across the y-axis followed by a 180° clockwise rotation about the origin

a reflection across the x-axis followed by a 90° clockwise rotation about the origin

a reflection across the y-axis followed by a 90° counterclockwise rotation about the origin

a reflection across the x-axis followed by a 270° counterclockwise rotation about the origin

Prove Figures Are Congruent With Transformations

Authored by Anthony Clark

Mathematics

8th Grade

CCSS covered

Prove Figures Are Congruent With Transformations

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

Content View

Student View

20 questions

Show all answers

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How would you prove these figures are congruent?

Say they are the same shape, same size

Find a pair of sides that are not the same length

Describe a sequence of transformations that takes one figure to the other.

Say that they are the same

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which description PROVES that these figures are congruent?

You can reflect

Because they are

They are the same size

You can reflect figure A across the y-axis and it will line up with figure A'

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Choose the correct sequence of transformations.

Reflect across the x axis, then translate 2 units up

Translate 5 units up and 4 units left

Rotate 90 degrees clockwise about the origin, then translate 6 units up and 1 unit right

Rotate 180 degrees about the origin.

Tags

CCSS.8.G.A.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Choose the correct sequence of transformations.

Translate 6 units right & then reflect across the x-axis

Rotate 90 degrees clockwise about the origin

Rotate then Reflect

Reflect across the y-axis then reflect across the x-axis

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Triangle ABC is congruent to triangle DEF. Which series of transformations maps DEF onto ABC?

dilation followed by a reflection

rotation followed by a dilation

translation followed by a dilation

rotation followed by a translation

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The figures below are congruent. Which series of transformations maps figure ABCD onto EFGH?

rotation followed by a translation

rotation followed by a dilation

reflection followed by a translation

reflection followed by a rotation

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What transformation does NOT preserve congruence?

dilation

rotation

reflection

translation

Tags

CCSS.HSG.CO.A.2

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

15 questions

Comparing Fraction

Quiz

•

8th Grade

15 questions

Solving Equations

Quiz

•

8th Grade

15 questions

Weirdest number facts ever

Quiz

•

7th Grade - University

15 questions

TBA 3 Review

Quiz

•

7th - 8th Grade

15 questions

Algebra Formulas

Quiz

•

7th - 8th Grade

20 questions

Year 9 - Expressions and Formulae Review

Quiz

•

7th - 9th Grade

20 questions

Year 9 Unit 4

Quiz

•

8th Grade

15 questions

Educazione Civica: Produzione e consumo di energia

Quiz

•

8th - 12th Grade

Popular Resources on Wayground

8 questions

Spartan Way - Classroom Responsible

Quiz

•

9th - 12th Grade

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

14 questions

Boundaries & Healthy Relationships

Lesson

•

6th - 8th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

3 questions

Integrity and Your Health

Lesson

•

6th - 8th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

9 questions

FOREST Perception

Lesson

•

20 questions

Main Idea and Details

Quiz

•

5th Grade

Discover more resources for Mathematics

20 questions

Scatter Plots and Line of Best Fit

Quiz

•

8th Grade

12 questions

8th U6 L4 - Fitting a Line to Data

Quiz

•

8th Grade

25 questions

Scatter Plots and Line of Best Fit

Quiz

•

8th Grade

14 questions

finding slope from a graph

Quiz

•

8th Grade

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

20 questions

Pythagorean Theorem Review

Quiz

•

8th Grade

20 questions

Laws of Exponents

Quiz

•

8th Grade

20 questions

Slope from a Graph

Quiz

•

8th Grade

Prove Figures Are Congruent With Transformations

How would you prove these figures are congruent?

Which description PROVES that these figures are congruent?

Choose the correct sequence of transformations.

Choose the correct sequence of transformations.

Triangle ABC is congruent to triangle DEF. Which series of transformations maps DEF onto ABC?

The figures below are congruent. Which series of transformations maps figure ABCD onto EFGH?

What transformation does NOT preserve congruence?

Are the figures congruent? (What type of transformation is shown?)

What is a congruent transformation?

Choose the sequence of transformations that includes ALL of the required information. (Read them carefully)

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Are the figures congruent?
(What type of transformation is shown?)