Question

draw the translated figure in the grid below by choosing the vertices of the translated figure.

Explanation:

Step1: Identify each vertex

Let the four vertices of the rhombus be \( A \), \( B \), \( C \), \( D \) (label them in order).

Step2: Determine the translation vector \( \vec{v} \)

The vector \( \vec{v} \) has a direction (left - as per the arrow) and we need to find the magnitude (number of grid units). From the grid, assume the translation is, say, 5 units to the left (depending on the grid spacing, but generally, we move each vertex along the direction of \( \vec{v} \) by the same number of units).

Step3: Translate each vertex

• For vertex \( A \): Move it 5 units to the left (same as the direction of \( \vec{v} \)) to get \( A' \).
• For vertex \( B \): Move it 5 units to the left to get \( B' \).
• For vertex \( C \): Move it 5 units to the left to get \( C' \).
• For vertex \( D \): Move it 5 units to the left to get \( D' \).

Step4: Draw the translated figure

Connect \( A' \), \( B' \), \( C' \), \( D' \) in order to get the translated rhombus.

(Note: Since this is a drawing problem, the key is to translate each vertex by the vector \( \vec{v} \) (same direction and magnitude) and then connect the translated vertices. The actual drawing would be done on the grid by moving each black dot (vertex) along the direction of \( \vec{v} \) (left - as per the arrow) by the appropriate number of grid squares and then drawing the sides between the new vertices.)

Answer:

The translated figure is obtained by translating each vertex of the original rhombus along the vector \( \vec{v} \) (left - direction) by the same number of grid units and connecting the translated vertices. (To be drawn on the grid by moving each vertex left as per \( \vec{v} \) and connecting them.)