Quadrilateral PQRS was translated 5 units to the right and 3 units up to create quadrilateral PꞋQꞋRꞋSꞋ.

Which rule describes this transformation?

The rule that describes a translation involves shifting each point by a certain amount horizontally and vertically. In this case, since quadrilateral PQRS was translated **5 units to the right** and **3 units up**, the transformation rule can be expressed as:

\[
(x, y) \rightarrow (x + 5, y + 3)
\]

This means every point \((x, y)\) of the quadrilateral is translated to a new point \((x + 5, y + 3)\), moving 5 units in the positive x-direction (right) and 3 units in the positive y-direction (up).

Would you like a deeper explanation, or do you have any further questions?

Here are five related questions:
1. How would the rule change if the quadrilateral were translated 5 units left and 3 units down?
2. What are the coordinates of point PꞋ if P was originally at (2, 4)?
3. How does this transformation affect the size and shape of quadrilateral PQRS?
4. Can you describe a reflection transformation rule instead of a translation?
5. How can you use a coordinate plane to visually represent this transformation?

**Tip:** For translation, the direction and magnitude of movement are determined by how much you add to or subtract from each coordinate.

Quadrilateral PQRS was translated 5 units to the right and 3 units up to create quadrilateral PꞋQꞋRꞋSꞋ. Which rule describes this transformation?

Learn how to describe the translation of quadrilateral PQRS by 5 units to the right and 3 units up. This page provides a detailed explanation of the transformation rule (x, y) → (x + 5, y + 3), along with related geometry concepts. Suitable for students in Grades 6-8.

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