Write T before each true statement and write F before each false statement. Then give the truth value of the conditional expressed.
If a triangle is a rectangle, then a circle is a rhombus.

Answer

To solve the problem, we need to analyze the statements involved in the conditional expression and determine their truth values.

1. **Identify the statements:**
- Let \( P \): "A triangle is a rectangle."
- Let \( Q \): "A circle is a rhombus."

2. **Determine the truth values of \( P \) and \( Q \):**
- The statement \( P \) ("A triangle is a rectangle") is **false** because triangles cannot be rectangles.
- The statement \( Q \) ("A circle is a rhombus") is also **false** because circles and rhombuses are different shapes.

3. **Express the conditional statement:**
- The conditional statement is \( P \implies Q \) (If \( P \), then \( Q \)).

4. **Evaluate the truth value of the conditional:**
- A conditional statement \( P \implies Q \) is only false when \( P \) is true and \( Q \) is false. In all other cases, it is true.
- Since both \( P \) and \( Q \) are false, we have:
- \( P \) is false (F)
- \( Q \) is false (F)
- Therefore, the conditional \( P \implies Q \) is **true**.

5. **Final answer:**
- Write the truth values:
- F (for "A triangle is a rectangle")
- F (for "A circle is a rhombus")
- The truth value of the conditional \( P \implies Q \) is **true**.

### Summary:
- F: A triangle is a rectangle.
- F: A circle is a rhombus.
- Truth value of the conditional \( P \implies Q \): **True**.