Translations of Polygons

Direct Isometries

Translations and rotations are direct isometries. If you read the names of the vertices in cyclic order (A-B-C and A'-B'-C'), both would be read in the counterclockwise (or clockwise) direction.

Translating a Triangle

Question 1

Click point B on the triangle above. Drag it 3 points to the RIGHT and 1 point UP. (x, y) --> (x + 3, y + 1). Write the coordinates for A', B', and C' below:

Select all that apply

A
A' = (3, 4) B' = (1, 3) C' = (1, 6)
B
A' = (4, 3) B' = (3, 1) C' = (6, 1)
C
A' = (3, 3) B' = (2, 1) C' = (5, 1)
D
A' = (3, 3) B' = (1, 2) C' = (1, 5)

Check my answer (3)

Question 2

Click point B' on the triangle above. Drag it to the point (2, -1). Which translation below accurately describes the translation between Triangle ABC and Triangle A'B'C'?

Select all that apply

A
(x, y) --> (x - 2, y + 1)
B
(x, y) --> (x - 1, y + 2)
C
(x, y) --> (x + 2, y - 1)
D
(x, y) --> (x + 1, y - 2)

Check my answer (3)

Question 3

Drag B' above so that it is once again at point (0, 0). Now perform the following transformation: (x, y) --> (x - 1, y + 3) Write the coordinates for A'B'C' below:

Select all that apply

A
A' = (-1, 3) B' = (2, 3) C' = (0, 5)
B
A' = (2, 3) B' = (0, 5) C' = (-1, 3)
C
A' = (5, 0) B' = (3, -1) C' = (3, 2)
D
A' = (0, 5) B' = (-1, 3) C' = (2, 3)

Check my answer (3)

Translations of Polygons

Direct Isometries

Translating a Triangle

Question 1

Question 2

Question 3

New Resources

Discover Resources

Discover Topics