Complete the tessellation pattern by adding more shapes to the grid.

To solve this problem, we need to understand what a translation is in geometry. A translation means sliding a shape from one place to another without turning it or changing its size. Every point of the shape moves the same distance in the same direction.

Let's look at the two parts of your worksheet separately.

Part 1: The Cross Shape (Top Grid)

1. Identify the Move: Look at the gray cross shape. To complete the pattern, we usually slide the shape to the right. Let's count how many dots (units) it needs to move to fit nicely into the empty space on the right.
* Pick a specific point on the original cross, like the very center dot.
* Count the dots to the right until you reach the position where the next cross should start. It looks like the pattern repeats every 6 dots to the right.
* Let's verify with the top-left corner of the cross. If we move 6 dots to the right, does it land on an empty spot that matches the shape? Yes.

2. Draw the New Shape:
* Start at the new position (6 dots to the right of the original center).
* Draw the exact same cross shape: one dot in the center, and one dot above, below, left, and right of the center.
* So, you will draw a second gray cross exactly like the first one, but shifted 6 spaces to the right.

Part 2: The Triangle Shape (Bottom Grid)

1. Identify the Move: Look at the gray triangle at the bottom left. We need to slide it to create a row of triangles.
* Pick the bottom-left corner of the triangle.
* Count how many dots to the right until the next triangle should begin. The base of the triangle is 3 dots wide. Usually, in these patterns, the shape slides by its own width or a set number of units. Let's look at the spacing. The next triangle should likely start 4 dots to the right of the starting point of the first triangle (so there is 1 dot of space between them, or they touch depending on the specific grid count).
* Let's count carefully. The base goes from dot 2 to dot 4 (3 dots total). If we shift it 4 units to the right, the new base will go from dot 6 to dot 8. This creates a neat repeating pattern.

2. Draw the New Shapes:
* First Translation: Slide the triangle 4 dots to the right. Draw the same triangle shape (base of 3 dots, height of 2 dots up to a peak).
* Second Translation: Slide it another 4 dots to the right (or 8 dots from the original). Draw the third triangle.
* Continue this until you fill the row across the grid. You should end up with a row of identical triangles pointing up, evenly spaced.

Summary of Steps for You to Draw:

* Top Grid: Draw another cross exactly like the first one, but moved 6 dots to the right. You can probably fit two more crosses in the remaining space if you keep moving 6 dots each time.
* Bottom Grid: Draw the same triangle again, but moved 4 dots to the right. Keep copying it every 4 dots to make a long row of triangles across the page.

Final Answer:
Top Grid: Draw a copy of the cross shape shifted 6 units to the right. Repeat this shift to add more crosses if space allows.
Bottom Grid: Draw copies of the triangle shape shifted 4 units to the right repeatedly to create a horizontal row of triangles.