Question

1. a translation along \\( \overrightarrow { a b } \\) maps figure \\( m \\) onto which figure?

a. figure \\( a \\)
b. figure \\( b \\)
c. figure \\( c \\)
d. figure \\( d \\)

Explanation:

Step1: Understand translation

Translation is a transformation that slides a figure without rotating or resizing.

Step2: Analyze direction and distance

The vector \(\overrightarrow{AB}\) shows the direction and distance of the translation. Figure \(M\) should move in the same direction as \(\overrightarrow{AB}\) with the same distance.

Step3: Compare with figures

• Figure \(A\): Matches the translation direction and distance from \(M\) along \(\overrightarrow{AB}\).
• Figure \(B\): Wrong direction (opposite in horizontal - like reflection in wrong sense).
• Figure \(C\): Rotated (not just translation).
• Figure \(D\): Different size (if we assume similar - but translation preserves size, but visually if we consider no scale change assumption - wrong direction in vertical).

Answer:

A. Figure A