Question

The diagram shows a rectangle and angles marked
,
,
, and
.

A rectangle with a diagonal forming two right triangles. a and b are the left and right side angles above the diagonal. c and d are the left and right side angles below the diagonal.

Which statements must be true? Choose two that are correct.

A.

B.

C.

D.

E.

Answer 1

To provide accurate responses, I'll assume the angles \( a \), \( b \), \( c \), and \( d \) are positioned as follows based on your description of a rectangle with a diagonal dividing it into two right triangles:

- Angle \( a \) is at the top left of the rectangle (above the diagonal).
- Angle \( b \) is at the top right of the rectangle (above the diagonal).
- Angle \( c \) is at the bottom left of the rectangle (below the diagonal).
- Angle \( d \) is at the bottom right of the rectangle (below the diagonal).

Since I cannot see the options labeled A-E, I will explain some properties that are generally true with respect to such angles in a rectangle divided by a diagonal:

1. **Angles in Right Triangles**: Each triangle formed has a right angle, meaning:
- Angle \( a \) and Angle \( c \) are complementary (adding to 90°).
- Angle \( b \) and Angle \( d \) are also complementary.

2. **Angles across the diagonal**:
- Angle \( a = Angle d \)
- Angle \( b = Angle c \)

If you can provide the statements labeled A, B, C, D, and E, I could help you determine which two statements are correct based on what is true about a rectangle and its angles.