Conider the following is statements :
p : A parallelogram is a rhombus.
q : the diogonals are at right angle.
The compound proposition " A parallelgram is a rhombus iff its diagonals are a right angle " is representd by

Options

A. p v q
B. p ^ q
C. ` p to q`
D. `p harr q `

Explanation

To solve the problem, we need to represent the compound proposition "A parallelogram is a rhombus iff its diagonals are at right angles" using logical symbols. Let's break this down step by step.

### Step 1: Identify the Statements
We have two statements:
- **p**: A parallelogram is a rhombus.
- **q**: The diagonals are at right angles.

### Step 2: Understand the Compound Proposition
The phrase "A parallelogram is a rhombus iff its diagonals are at right angles" indicates a biconditional relationship between the two statements. The term "iff" stands for "if and only if," which means that both statements are equivalent.

### Step 3: Represent the Biconditional
In logical notation, the biconditional "p iff q" is represented as:
- **p ↔ q**

### Step 4: Write the Final Expression
Thus, the compound proposition "A parallelogram is a rhombus iff its diagonals are at right angles" can be expressed as:
- **p ↔ q**

### Conclusion
The symbolic representation of the given compound proposition is:
- **p ↔ q**