A coordinate grid is used to plan for a garden in the shape of a parallelogram. The coordinates of the garden are \( G(-2,-6), H(3,-6), I(3,-10) \), and \( J(-2,-10) \). Is the statement below true or false? GHIJ is a square. true

The statement "**GHIJ is a square**" is **false**. Here's why: Let's analyze the coordinates of the garden: - **G(-2, -6)** - **H(3, -6)** - **I(3, -10)** - **J(-2, -10)** 1. **Lengths of the Sides:** - **GH**: From G(-2, -6) to H(3, -6) - Horizontal distance: \(3 - (-2) = 5\) units - **HI**: From H(3, -6) to I(3, -10) - Vertical distance: \(-10 - (-6) = 4\) units - **IJ**: From I(3, -10) to J(-2, -10) - Horizontal distance: \(3 - (-2) = 5\) units - **JG**: From J(-2, -10) to G(-2, -6) - Vertical distance: \(-10 - (-6) = 4\) units 2. **Analysis:** - **Sides GH and IJ** are both **5 units** long. - **Sides HI and JG** are both **4 units** long. - In a **square**, all four sides must be of **equal length**. - Here, the garden has two pairs of equal sides (5 units and 4 units), which makes it a **rectangle**, not a square. 3. **Conclusion:** - Since not all sides are equal and the lengths are different, **GHIJ is not a square**. **Answer:** False. GHIJ is a rectangle with unequal sides, so it is not a square.