https://file.aiquickdraw.com/mathbot/file/1726707793293ogg3vd8n.jpg

https://file.aiquickdraw.com/mathbot/file/1726707793302jt1afqy3.jpg

The question provided in the images asks about the transformation of the parallelogram \( ABCD \). Specifically, it wants to know the new coordinates of point \( A \) after the entire shape is shifted 3 units to the right.

### Let's break down the solution:
1. **Current position of point \( A \):**
   From the graph in the image, point \( A \) is at \( (1, 2) \).

2. **Transformation:**
   The problem specifies that the parallelogram is shifted 3 units to the right. This means we are adding 3 to the x-coordinate of each point while keeping the y-coordinate the same.

   So, for point \( A \):
   - The x-coordinate becomes \( 1 + 3 = 4 \).
   - The y-coordinate remains the same at 2.

Thus, the new coordinates of point \( A \) are \( (4, 2) \).

### Answer:
The correct choice is \( (4, 2) \), which corresponds to the first option on the screen.

---

Do you want further details or have any questions? Here are some related questions you might find useful:

1. What are the new coordinates of point \( B \) after the shift?
2. How does a horizontal translation affect the area of a shape?
3. If the parallelogram were shifted 3 units down instead, what would be the new coordinates of point \( A \)?
4. How do you perform a vertical translation of a shape?
5. How do you calculate the new position of a shape after applying multiple transformations (e.g., translation and rotation)?

**Tip:** A horizontal translation only changes the x-coordinates, while a vertical translation only affects the y-coordinates!

Perhatikan gambar berikut! Jika jajargenjang ABCD di atas digeser sejauh 3 satuan ke kanan, bayangan titik A berada pada koordinat ...

This problem involves translating the parallelogram ABCD by 3 units to the right. The original coordinates of point A are shifted, with the new coordinates determined by applying the translation formula. Suitable for students in Grades 7-9 studying coordinate geometry.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation