Question

1. rectangle

qs ≅ tr

Explanation:

Step1: Set expressions equal

In a rectangle, diagonals are equal, so $2x + 6 = 3x - 6$

Step2: Isolate x variable

Subtract $2x$ from both sides: $6 = x - 6$

Step3: Solve for x

Add 6 to both sides: $x = 6 + 6$

Answer:

$x = 12$