Translations
Presentation
•
Mathematics
•
8th Grade
•
Easy
+8
Standards-aligned
Kevvin Hankins
Used 55+ times
FREE Resource
19 Slides • 19 Questions
1
Standard: MGSE8.G.2
Understand that a two‐dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.
2
Learning Targets
I can explain whether or not two figures are congruent using transformations.
I can explain the series of transformations used to transform a figure to its congruent conterpart.
3
Essential Vocabulary
Transformations
Translations
Rotation
Reflection
X-Axis
Y-Axis
4
Essential Vocabulary
6. Congruent
7. Similar
8. Pre-Image
9. Image
10.Coordinates
11. Line of Reflection
5
Essential Question
1. What is the relationship between reflections, translations, and rotations?
6
7
8
Multiple Choice
Are these triangles similar?
Yes
No
9
Transformation - an operation that maps an original figure onto a new figure
Original Figure - is called the PRE-IMAGE
New Figure - is called the IMAGE
Rigid Transformation - a transformation that creates an image that is congruent to the pre-image. (translation, reflection, and rotation ONLY)
10
THESE ARE THE ONLY 3 TRANSFORMATIONS THAT CREATE CONGRUENT IMAGES! RIGID TRANSFORMATIONS
Translation - a slide that moves all points in the same direction and same distance
Reflection - a FLIP over a certain line, all points from the pre-image to image are the same distance apart.
Rotation - a TURN around a fixed point, all points from the pre-image to image are the same distance apart.
11
THESE ARE THE ONLY 3 TRANSFORMATIONS THAT CREATE CONGRUENT IMAGES! RIGID TRANSFORMATIONS
Translation - a slide that moves all points in the same direction and same distance
Reflection - a FLIP over a certain line, all points from the pre-image to image are the same distance apart.
Rotation - a TURN around a fixed point, all points from the pre-image to image are the same distance apart.
12
13
14
15
Multiple Choice
16
Multiple Choice
17
Multiple Choice
18
Multiple Choice
19
Multiple Choice
20
Multiple Choice
21
Open Ended
What does it mean to transform something?
22
23
Open Ended
Today, we're focusing on translations. Have you heard this word before? What does it mean to you? (can be math related or not)
24
Are a type of transformation that move a shape (by shifting or sliding) to another location
Can move an image left, right, up, or down
The pre-image is the original image and the image is the image after it has been transformed
Make note of the notation used for the pre-image and image
25
26
Open Ended
What else did you notice about the pre-image and image? What do you wonder?
27
28
Open Ended
What are some differences in the two methods for performing translations discussed in the video?
29
Multiple Choice
Point Q is located at (4, 5). We want to shift it 6 units right. What would be the location of point Q'?
(10, 5)
(5, 10)
(4, 11)
(11, 4)
I'm not sure, I need more explanation.
30
Multiple Choice
Point K is located at (-2, 0). We want to shift it down 3 units. What would be the location of point Q'?
(-5, 0)
(0, -3)
(-2, -3)
(-5, -3)
I'm not sure, I need more explanation.
31
Poll
On the graph shown, the point R' was created by moving point R _____________.
6 units left
6 units right
4 units up
4 units down
32
Instead of writing x units left/right and y units up/down, we can use mapping notation. The number being added or subtracting to each coordinate let's you know how many units to move AND in what direction.
33
The capital T is used to denote a translation
The numbers in parenthesis DO NOT represent ordered pairs
The numbers in parenthesis are directions; they let you know which way to move on the coordinate plane
In this example, the notation is telling use to move point A left 1 unit and up 2 units to create point A' at (2, 4)
This notation is helpful if you don't have a coordinate plane to look at
34
Open Ended
What is the meaning of the notation in relation to translations?
(x, y)→ (x−3, y+6)
35
Multiple Choice
Which notation denotes a translation of a pre-image 5 units right and 2 units down?
T(−5, 2)
T(−2,5)
T(5,−2)
T(−2, −5)
36
Open Ended
Triangle A'B'C' has the coordinates A: (8, 8) B: (8, 4) C: (5, 4) The mapping notation
(−3, 9) was used to create this image. What are the coordinate of point A in the pre-image?
37
Open Ended
Summarize:
1) What is your definition of translations?
2) How do the notations help with performing translations in the coordinate plane?
38
Poll
Choose the topics you still need help understanding. (You can choose more than 1)
None. I understand everything in today's lesson.
Performing translations using mapping notation
Performing translations using subscript notation
The definition of a translation.
The difference between image and pre-image.
Standard: MGSE8.G.2
Understand that a two‐dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.
Show answer
Auto Play
Slide 1 / 38
SLIDE
Similar Resources on Wayground
32 questions
Day 2 Interpreting Graphs March 2nd
Presentation
•
8th Grade
32 questions
Domain & Range
Presentation
•
7th - 8th Grade
28 questions
Operations with Scientific Notation
Presentation
•
8th Grade
34 questions
Slope from a Graph
Presentation
•
7th - 9th Grade
31 questions
Movement on the Coordinate Plane
Presentation
•
8th Grade
32 questions
Brown v Board of Education
Presentation
•
8th Grade
36 questions
Transformations Review
Presentation
•
8th Grade
33 questions
Understand Proportional Relationships
Presentation
•
7th - 8th Grade
Popular Resources on Wayground
10 questions
Safety Day 2026 – Student Review
Quiz
•
9th Grade
21 questions
Continents and Oceans
Quiz
•
6th Grade
20 questions
Parts of Speech
Quiz
•
5th Grade
16 questions
Subject & Predicate
Quiz
•
5th Grade
25 questions
Multiplication Facts
Quiz
•
5th Grade
12 questions
Map Skills
Quiz
•
3rd Grade
22 questions
Continents and Oceans
Quiz
•
5th Grade
15 questions
Rounding Decimals
Quiz
•
5th Grade
Discover more resources for Mathematics
20 questions
Rational and Irrational Numbers
Quiz
•
8th Grade
20 questions
Add and Subtract Integers
Quiz
•
6th - 8th Grade
20 questions
Slope from a Graph
Quiz
•
8th Grade
15 questions
Adding and Subtracting Integers
Quiz
•
6th - 8th Grade
20 questions
Proportional vs. Non-Proportional
Quiz
•
8th Grade
14 questions
finding slope from a graph
Quiz
•
8th Grade
24 questions
Explore Rigid Transformations and Congruence
Quiz
•
8th Grade
13 questions
Finding slope from graph
Quiz
•
8th Grade