Download Lesson 16 - Translations on the Coordinate Plane

Lesson 16
NYS COMMON CORE MATHEMATICS CURRICULUM
M1
GEOMETRY
Name:___________________________________
Period:________ Date:_________
Lesson 16 - Translations on the Coordinate Plane
Warmup
Exercise 1. Write a rule to describe the translation ∆𝐴𝐵𝐶 → ∆𝐴′𝐵′𝐶′ .
Exercise 2. Explain in words the translation from triangle A to triangle B.
Lesson 16
NYS COMMON CORE MATHEMATICS CURRICULUM
M1
GEOMETRY
Name:___________________________________
Period:________ Date:_________
Lesson 16 - Translations on the Coordinate Plane
Mini-Lesson Learning Targets
 I can draw the translation of a given figure on the coordinate plane
Definitions- Vocabulary

A translation is a transformation where all the points of a figure are moved the same
distance in the same direction.

A translation is an isometry, so the image of a translated figure is congruent to the
preimage.
Translation is " ______________________" Coordinates change : ______________________
Example 1
A': ______________________________
B': ______________________________
C': ______________________________
Example 2. Translate the image one unit down and three units right.
Draw the vector that defines the translation.
Lesson 16
NYS COMMON CORE MATHEMATICS CURRICULUM
M1
GEOMETRY
Name:___________________________________
Period:________ Date:_________
Translations and vectors:
The translation at the right shows a vector translating the top
triangle 4 units to the right and 9 units downward.
The notation for such vector movement may be written as:
_______________ ________________
Example 3. Find the vector associated with each translation. Use arrow notation to describe
the mapping of the preimage to the image
Try on your own
Example 4. State the coordinates of ABC . Then, graph the image of ABC
under the translation T1, 2 . State the coordinates of the image.
A: ______________________________
B: ______________________________
C: ______________________________
A': _____________________________
B': _____________________________
C': _____________________________
Lesson 16
NYS COMMON CORE MATHEMATICS CURRICULUM
M1
GEOMETRY
Name:___________________________________
Period:________ Date:_________
Lesson 16 - Translations on the Coordinate Plane
Classwork
Translate each figure according to the instructions provided.
1) 2 units down and 3 units left.
Draw the vector that defines the translation.
the translation.
2)
1 unit up and 2 units right.
Draw the vector that defines
3. Use the rule (x, y)  (x + 7, y – 1) to find the translation image of LMN.
Graph the image as L’M’N’ and state the new coordinates.
State the rule in standard translation notation.
Lesson 16
NYS COMMON CORE MATHEMATICS CURRICULUM
M1
GEOMETRY
Name:___________________________________
Period:________ Date:_________
4. Translate the figure with the given vertices along the given vector.
A(-3,1), B(-8,3), C(-3,5) ;
___________________________
A': _____________________________________
B': _____________________________________
C': _____________________________________
5. Translate the figure with the given vertices along the given vector.
A(-4,-6), B(-10,8), C(3,-5) ;
〈8,−2〉
A': _____________________________________
B': _____________________________________
C': _____________________________________
___________________________