Use graph paper to complete the steps below. Then answer the question follows. - Draw a square that measures 5 units on each side. - Draw a design inside your $$ 5 imes 5 $$ square. - Then draw a square that measures 15 units on each side. Enlarge your picture as accurately as possible so that it fits inside of $$ 15 imes 15 $$ square.

Question

Use graph paper to complete the steps below. Then answer the question follows. - Draw a square that measures 5 units on each side. - Draw a design inside your $$ 5 	imes 5 $$ square. - Then draw a square that measures 15 units on each side. Enlarge your picture as accurately as possible so that it fits inside of $$ 15 	imes 15 $$ square.

UpStudy AI · Accepted Answer

To solve this problem, we will follow the steps outlined in the prompt. Since I cannot physically draw on graph paper, I will guide you through the process step by step.

### Step 1: Draw a Square Measuring 5 Units on Each Side
1. **Draw a square**: Start by drawing a square on your graph paper. Each side of the square should measure 5 units. 
   - Mark the corners of the square as points $$ A(0, 0) $$, $$ B(5, 0) $$, $$ C(5, 5) $$, and $$ D(0, 5) $$.
   - Connect these points to form the square.

### Step 2: Draw a Design Inside the $$ 5 	imes 5 $$ Square
2. **Create a design**: Inside the square, you can create any design you like. For example, you could draw:
   - A smaller square in the center measuring 2 units on each side.
   - Diagonal lines connecting opposite corners.
   - A circle centered in the square.

### Step 3: Draw a Square Measuring 15 Units on Each Side
3. **Draw a larger square**: Now, draw a larger square that measures 15 units on each side.
   - Mark the corners of this square as points $$ E(0, 0) $$, $$ F(15, 0) $$, $$ G(15, 15) $$, and $$ H(0, 15) $$.
   - Connect these points to form the larger square.

### Step 4: Enlarge Your Picture to Fit Inside the $$ 15 	imes 15 $$ Square
4. **Enlarge the design**: To fit your design from the $$ 5 	imes 5 $$ square into the $$ 15 	imes 15 $$ square, you will need to scale it up by a factor of 3 (since $$ 15 \div 5 = 3 $$).
   - For example, if you had a point in your design at $$ (2, 2) $$ in the smaller square, it would move to $$ (6, 6) $$ in the larger square.
   - Apply this scaling to all points and features of your design.

### Final Question
After completing these steps, you can answer questions related to your design, such as:
- What shapes did you include in your design?
- How did the scaling affect the proportions of your design?
- What challenges did you face while enlarging your design?

Feel free to ask if you have any specific questions or need further assistance!
To complete the task: 1. Draw a 5x5 square on graph paper. 2. Add a design inside the square. 3. Draw a 15x15 square. 4. Enlarge your design to fit inside the larger square by scaling it up by a factor of 3. After completing these steps, you can answer questions about your design and the scaling process.

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