Question

1. triangle rat is translated 5 units to the left and 4 units down.

which rule describes this transformation?
options:

• $(x,y) \to (x - 5,y - 4)$
• $(x,y) \to (x + 5,y - 4)$
• $(x,y) \to (-5x,-4y)$
• $(x,y) \to (5x, 4y)$

Explanation:

Step1: Recall translation rules

In coordinate geometry, translating a point \((x,y)\) \(a\) units left/right and \(b\) units up/down follows: left subtracts from \(x\), right adds to \(x\); down subtracts from \(y\), up adds to \(y\).

Step2: Apply to given translation

Here, 5 units left: \(x\) becomes \(x - 5\); 4 units down: \(y\) becomes \(y - 4\). So the rule is \((x,y)\to(x - 5,y - 4)\).

Answer:

\((x,y)\to(x - 5,y - 4)\) (the first option)