Question

A school of fish translates from point F to point D.
(a). Describe the translation of the school of fish.

(b). Can the fishing boat make the same translation? Explain.

(c). Describe a translation the fishing boat could make to get to point D.

Answer 1

Step 1: We can have coordinates of points from given figure as:
(A). Coordinate of the point F: (-3,2) and the point D: (2,3)
For translation we have to find shift:
Horizontal shift: $\mathrm{a}={\mathrm{x}}_2-{\mathrm{x}}_1=2-(-3)=2+3=5$

Vertical shift: $\mathrm{b}={\mathrm{y}}_2-{\mathrm{y}}_1=3-2=1$

Hence the path of translation is 5 unit Right and 1 unit Up.

Step 2: (B). No, the fishing boat (point B) cannot make the same translation as by fish (point F).
Because in path between from point B to point D there is an island which will interrupt the translation of fishing boat.

(C). Coordinate of the point B (-2,-1) and the point D (2, 3)
For translation we have to find shift:
Horizontal shift: $\mathrm{a}={\mathrm{x}}_2-{\mathrm{x}}_1=2-(-2)=2+2=4$

Vertical shift: $\mathrm{b}={\mathrm{y}}_2-{\mathrm{y}}_1=3-(-1)=3+1=4$

Hence, the path of translation is 4 unit Right and 4 unit Up.