Question

draw the image of quadrilateral jklm when translated by the directed line segment b.

Explanation:

Step1: Identify translation vector

First, determine the direction and magnitude of the directed line segment \( b \). From the grid, the vector \( b \) moves a point 2 units down (in the vertical direction) and 1 unit to the left (in the horizontal direction) (or analyze the grid steps between the start and end of \( b \)).

Step2: Translate each vertex

• For vertex \( J \): Apply the translation vector (2 down, 1 left) to its coordinates.
• For vertex \( K \): Apply the same translation vector.
• For vertex \( L \): Apply the same translation vector.
• For vertex \( M \): Apply the same translation vector.

Step3: Draw the translated quadrilateral

Connect the translated vertices in the same order as the original quadrilateral \( JKLM \) to form the image of the translation.

(Note: Since this is a drawing task, the key is to translate each vertex by the vector \( b \). For example, if \( J \) is at a certain grid point, moving it 2 units down and 1 unit left (or the correct direction/magnitude from \( b \)) gives \( J' \), similarly for \( K \to K' \), \( L \to L' \), \( M \to M' \), then connect \( J'K'L'M' \).)

Answer:

To draw the image of quadrilateral \( JKLM \) after translation by directed line segment \( b \):

1. Determine the translation vector from segment \( b \) (e.g., if \( b \) moves a point 2 units down and 1 unit left, use this for all vertices).
2. Translate each vertex (\( J, K, L, M \)) by this vector to get \( J', K', L', M' \).
3. Connect \( J'K'L'M' \) in order to form the translated quadrilateral.

(Visually, on the grid, shift each vertex along the direction and length of \( b \), then draw the new quadrilateral.)