Translation Exercise

1. Translate each figure by the translation shown:

 

(a)

(b)

(c)

 

2. Translate each figure by the translation shown:

 

(a)

(b)

(c)

 

3. Give the translation, in the matrix (vector) form , that would map ABC to A´B´C´

 

(a) 

(b) 

 

4. Under the translation P, XYZ  X´ Y´Z´ as shown in the diagram.

 

(a) Complete: P(X) = ..............

(b) Name an angle congruent to X´ Y´Z´.

(c) Name a line segment parallel to YZ.

(d) Are there any invariant points? If so, name them.

(e) Complete: Under P, XY ................

(f) True or false? Area XYZ = Area X´ Y´Z´.

 

5. ABCD is a rectangle. Identify a vector equivalent to each of those given:

 

(a) 

(b) 

(c) 

(d) 

(e)