Question

which figures are translations of figure a? choose all that apply. figure b figure c figure d figure e figure f only choose figures where each vertex of figure a moves the same distance and in the same direction.

Explanation:

Step1: Recall the definition of translation

Translation means moving a figure without rotation or reflection. Each vertex of the original figure moves the same distance and in the same direction.

Step2: Analyze each figure

• Figure B: It has a different shape (there is an extra diagonal - like part), so it is not a translation of \(A\).
• Figure C: Each vertex of \(A\) can be moved a certain number of units (horizontally) to get the vertices of \(C\). The shape and orientation are the same.
• Figure D: It has a different shape (the inner - part is different), so it is not a translation of \(A\).
• Figure E: Each vertex of \(A\) can be moved a certain number of units (down - ward) to get the vertices of \(E\). The shape and orientation are the same.
• Figure F: It has a different shape (the inner - part is different), so it is not a translation of \(A\).

Answer:

Figure \(C\), Figure \(E\)