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Identify Rigid Transformations and Corresponding Sides/Angles - Printable Mathematics Worksheets - Wayground

Identify Rigid Transformations and Corresponding Sides/Angles

21 questions

8th - 8th Grade

Mathematics

This Grade 8 mathematics worksheet develops students’ understanding of rigid transformations and congruence. Students distinguish translations, reflections, and rotations from one another, recognize alternate names such as slide, flip, and turn, and identify that rigid transformations preserve a figure’s size and shape. The worksheet also introduces pre-image and image language and asks students to identify corresponding points, sides, and angles in transformed figures. Across 21 questions—14 multiple choice, 3 multiple select, and 4 fill-in-the-blank—students apply vocabulary to transformation examples and compare corresponding parts of figures. They determine which sides or angles match and recognize that corresponding sides of congruent figures are congruent. This free printable worksheet is designed for Grade 8 math instruction, review, or assessment and includes a complete answer key for efficient checking.

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Identify Rigid Transformations and Corresponding Sides/Angles

Total questions: 21

Name
Class
Date
1.

Translations, reflections and rotations are all known as ________________________.

a)

Geometry

b)

Rigid Transformations

c)

Congruent

2.

Rigid transformations do not change the _____ and _____ of an object.

a)

size

b)

shape

c)

location

d)

direction

3.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
4.

A ______ is a flip of a figure over a line.

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

5.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
6.

Figure ABCD is the pre-image and is transformed into the other figures.

HIJK is a ​ (a)   of ABCD.

7.

Figure ABCD is the pre-image and is transformed into the other figures.

AEFG is a (a)   ​ of ABCD.

8.

Figure ABCD is the pre-image and is transformed into the other figures.

LMNO is a ​ (a)   of ABCD.

9.

When part of an original figure matches up with a copy, we call them _. These could be points, segments, or angles.

(a)  

10.

GHIJKL is the image of ABCDEF. Which angles have the same measure? (there are 2 correct answers)

a)

∠B\angle B and ∠J\angle J

b)

∠E\angle E and ∠K\angle K

c)

∠F\angle F and ∠H\angle H

d)

∠A\angle A and ∠G\angle G

11.

GHIJKL is the image of ABCDEF.

BC‾\overline{BC} corresponds to ​

a)

GH

b)

HI

c)

KJ

d)

JI

12.

GHIJKL is the image of ABCDEF.

AF‾\overline{AF} corresponds to ​

a)

GH

b)

GL

c)

KJ

d)

ED

13.

PQRST is the image of ABCDE. Select the three correct answers.

a)

This is an example of a reflection.

b)

This is an example of a dilation

c)

RS‾\overline{RS} corresponds to DC‾\overline{DC}

d)

∠B\angle B corresponds to ∠Q\angle Q

e)

∠R\angle R corresponds to ∠D\angle D

14.

Having the same size and shape; ≅.

a)

Congruent

b)

Similar

c)

Image

d)

Preimage

15.

Corresponding sides of a congruent figure are_____.

a)

Congruent

b)

Not congruent

16.

Corresponding angles of congruent figures are _________.

a)

Congruent

b)

Not congruent

17.

Which figure is a translation of Figure I?

a)

Figure A

b)

Figure B

c)

Figure C

d)

None of the above

18.

What kind of transformation is this?

a)

Reflection

b)

Translation

c)

Rotation

19.

What kind of transformation is this?

a)

Rotation

b)

Reflection

c)

Translation

20.

ΔXYZ≅ΔTRS\Delta XYZ\cong\Delta TRS  

Which side corresponds to side XY?

a)

TR

b)

RS

c)

ST

21.

Δ RST ≅ -------

a)

Δ WYX

b)

Δ WXY

c)

Δ XWY

d)

Δ XYW

Answer Key

Identify Rigid Transformations and Corresponding Sides/Angles

Total questions: 21

1.
b)

Rigid Transformations

2.
a)

size

, b)

shape

3.
c) Rotation
4.
c)

Reflection

5.
a) Translation
6.
reflection
7.
rotation
8.
translation
9.
corresponding
10.
b)

∠E\angle E and ∠K\angle K

, d)

∠A\angle A and ∠G\angle G

11.
b)

HI

12.
b)

GL

13.
a)

This is an example of a reflection.

, c)

RS‾\overline{RS} corresponds to DC‾\overline{DC}

, d)

∠B\angle B corresponds to ∠Q\angle Q

14.
a)

Congruent

15.
a)

Congruent

16.
a)

Congruent

17.
b)

Figure B

18.
c)

Rotation

19.
b)

Reflection

20.
a)

TR

21.
c)

Δ XWY

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FAQs

What does this worksheet cover?

This Grade 8 worksheet uses multiple-choice, multiple-select, and fill-in-the-blank questions to help students identify translations, reflections, and rotations as rigid transformations. Students also use pre-image and image figures to identify corresponding sides and angles and apply the idea that rigid transformations preserve size and shape.

How can I use this worksheet to teach rigid transformations and corresponding parts?

Introduce the movement vocabulary first by connecting a slide to a translation, a flip to a reflection, and a turn to a rotation. Then use the worksheet’s pre-image and image figures to model how to trace a vertex, side, or angle to its corresponding part before students complete the multiple-select and fill-in-the-blank items independently. Ask students to explain why corresponding sides and angles match after a rigid transformation.

What mistakes should I watch for when students complete this worksheet?

Students may confuse the names of the movements, especially translation, reflection, and rotation, or select location and direction when asked what rigid transformations preserve. They may also reverse the pre-image and image when matching corresponding sides and angles, or overlook that multiple-select questions require every correct choice. Check that students use the order and labels of the figures to establish each correspondence.

How do I assign and grade this worksheet?

Wayground provides this worksheet as both a printable PDF and a digital quiz, and it includes a complete answer key for checking the transformation, correspondence, and congruence items. Printable submissions can be graded by scanning student work with the Wayground for Teachers app.

How can I differentiate this worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the transformation labels, answer choices, and fill-in-the-blank prompts are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language while students work with the rigid-transformation and corresponding-parts questions.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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