Name _________________________________________
Hour _________
Chapter 2: Transformations
STUDY GUIDE & HOMEWORK PACKET
Enduring Understandings (Know these concepts to do well on the test!)
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In congruent polygons, corresponding sides and angles are congruent
A figure with line symmetry can be folded over a line so that the two halves match
In a reflection, the image is congruent to the original figure, but the orientation of the image
is different from that of the original figure
In a translation, the image is congruent to the original figure, and the orientation of the
image is the same as that of the original figure
In similar polygons, corresponding sides are proportional and angles are congruent
A dilation is a transformation that changes the size of a figure, but not the shape
The notation used to describe a dilation includes a scale factor and a center of dilation. A
dilation of scale factor k with the center of dilation at the origin may be described by the
notation (kx, ky)
Similar figures are produced from dilations
A scale factor bigger than one will produce an enlargement of a figure, while a scale factor
less than one will produce a reduction in size
Two similar figures are related by a scale factor, which is the ratio of the lengths of the
corresponding sides
Congruent figures have the same size and shape. If the scale factor of the dilation is equal to
one, the image resulting from the dilation is congruent to the original figure
Vocabulary (Make flash cards)
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Congruent figures
Corresponding angles
Corresponding sides
Transformation
Image
Pre-image
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Translation (slide)
Reflection (flip)
Line of reflection
Rotation
Center of rotation
Angle of rotation
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Equations & Key Ideas (Make flash cards)
 Congruent ≅
 Similar ~
Similar figures
Dilation
Center of dilation
Scale factor
Our math book
Engage New York: 8th grade math
https://www.engageny.org/resource/grade-8-mathematics-module-1
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Module 2: The concept of congruence
Module 3: Similarity
Supplementary Resources:
Big Ideas: www.bigideasmath.com
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Click on the blue bar that says "Looking for Easy Access Materials?"
In the upper right hand corner, click "Students"
Scroll to the bottom of the page to EASY ACCESS HOME EDITION and find "Choose Program
for Access". Make sure you have "Common Core 2014" chosen, and then click "GO"
Click the regular pathways blue edition Big Ideas Math book (BLUE with airplane on the
cover)
o Go to chapter 2: TRANSFORMATIONS
Other Websites for help:
Khan Academy: www.khanacademy.org and search for:
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Congruence and similarity
Translations of polygons
Transformation puzzles
Dilations
Learn Zillion: www.learnzillion.com and type this (the standard numbers that we are working on)
into the search bar:
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8.G.1
8.G.2
8.G.3
8.G.4
(2 lessons that include about 6 videos about translations, rotations, and reflections)
(2 lessons that include about 6 videos about congruence)
(2 lessons that include about 6 videos about dilations)
(1 lesson that includes about 3 videos about congruence with dilations)
Practice:
(Complete these practice problems and understand the objectives to do well on the test!)
45 minutes of homework at home. If you have WORKED for 45 minutes at home and have not
finished your homework, please have your parents sign your homework with a short note saying
you worked, and it will be counted as COMPLETE for 5 points.
Lesson
started on
Homework
due on
Lesson
Lesson 2.1:
Congruent Figures
Lesson 2.2:
Translations
Lesson 2.3:
Reflections
Lesson 2.4:
Rotations
Objective
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Name corresponding angles and
corresponding sides of congruent figures
Identify congruent figures
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Identify translations
Translate figures in the coordinate plane
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Identify reflections
Reflect figures in the x-axis or the y-axis
of the coordinate plane
Identify rotations
Rotate figures in the coordinate plane
Use more than one transformation to
find images of figures
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Homework
Page 46 #1-10,
Page 47 #11-13 and
#16-20
Page 52 #1, 3, 4-16,
Page 53 #17-21 and
24-28
Page 58 #1, 3, 4-18
Page 59 #19-24,
#29-33
Page 65 #2-5, 7-12
Page 66 #13-25
Quiz over lessons 2.1 through 2.4
Work on page 69 all questions to prepare for the quiz
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Lesson 2.5: Similar
Figures
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Lesson 2.6:
Perimeters and
Areas of Similar
Figures
Lesson 2.7:
Dilations
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Name corresponding angles and
corresponding sides of similar figures
Identify similar figures
Find unknown measures of similar
figures
Understand the relationship between
perimeters of similar figures
Understand the relationship between
areas of similar figures
Find ratios of perimeters and areas for
similar figures
Identify dilations
Dilate figures in the coordinate plane
Use more than one transformation to
find images of figures
Quiz over lessons 2.5 through 2.7
Work on page 90 all questions to prepare for the quiz
Review Day. Work on pages 91-96 to prepare for the chapter test
Chapter 2 Test: No notes, yes calculators
Page 74 #4-13
Page 80 #4-13
Page 87 #1, 3, 4-18
Page 88 #19-28