Translations

Site: Saylor Academy
Course: GKT101: General Knowledge for Teachers – Math
Book: Translations
Printed by: Guest user
Date: Wednesday, May 22, 2024, 9:33 AM

Description

Translation is a type of rigid transformation. Watch this lecture series and complete the interactive exercises.

Determining translations

Translating shapes

Translation challenge problem

Practice

    

Translate points - Questions

1. Plot the image of point Q under the translation (x, y) \rightarrow(x+1, y+2).



2. Plot the image of point P under a translation by 5 units to the right and 7 units down.



3. Point P^{\prime} is the image of P(5,-5) under a translation by 2 units to the left and 5 units up.

What are the coordinates of P^{\prime}?

(_________, _________)


4. Point P^{\prime} is the image of P(6,0) under the translation (x, y) \rightarrow(x-6, y-1).

What are the coordinates of P^{\prime} ?

(_________, _________)



Translate points - Answers

1. The image Q^{\prime} of point Q is at the coordinates (-3,6).


2. The image P^{\prime} of point P is at the coordinates (4,-2).



3. The coordinates of P^{\prime} are (3,0).

4. The coordinates of P^{\prime} are (0,-1).

Determine translations - Questions

1. 


Determine the translation.

Use non-negative numbers.

A translation by _______ units to the _______  (right/left) and _______  units _______  (up/down).

2. Quadrilateral A^{\prime} B^{\prime} C^{\prime} D^{\prime} is the image of quadrilateral A B C D under a translation by 2 units to the right and 5 units down.



Point B^{\prime}(6,-5) is the image of B(-5,-2) under a translation.

Determine the translation.

Use non-negative numbers.

A translation by _______ units to the _______  (right/left) _______  and units _______  (up/down).

3. \triangle A^{\prime} B^{\prime} C^{\prime} is the image of \triangle A B C under a translation.

Determine the translation.

Use non-negative numbers.

A translation by _______ units to the _______  (right/left) _______  and units _______  (up/down).

4. Point D^{\prime}(7,1) is the image of D(7,6) under a translation.

Determine the translation.

Use non-negative numbers.

A translation by _______ units ________(right/left/up/down)


Determine translations - Answers

1. A translation by 2 units to the right and 5 units down.

2. B^{\prime} is the image of B under a translation by 11 units to the right and 3 units down.


3. \triangle A^{\prime} B^{\prime} C^{\prime} is the image of \triangle A B C under a translation by 4 units to the right and 2 units up.


4. D^{\prime} is the image of D under a translation by 5 units down.


Translate shapes - Questions

1. Draw the image of \triangle A B C under the translation (x, y) \rightarrow(x+2, y+2).



2. Draw the image of quadrilateral A B C D under a translation by 1 unit to the right and 4 units up.


3. Draw the image of \triangle A B C under the translation (x, y) \rightarrow(x, y+3).



4. Draw the image of \triangle A B C under a translation by 1 unit to the left and 5 units up.


Translate shapes - Answers

1. Doing this for all vertices and connecting them, we get the following mapping:



2. Doing this for all vertices and connecting them, we get the following mapping:


3. Doing this for all vertices and connecting them, we get the following mapping:



4. Doing this for all vertices and connecting them, we get the following mapping: