## Task 3

Investigate whether the following statements are true in rectangle $A B C D$; answer with yes or no.

| $A B$ is parallel to $C D$ |  |
| :--- | :--- |
| $A B$ is parallel to $A D$ |  |
| $B C$ is perpendicular to $A B$ |  |
| $B D$ is perpendicular to $A C$ |  |

![](https://cdn.mathpix.com/cropped/2024_06_06_b85a894aa8dbf722a7b3g-2482.jpg?height=163&width=439&top_left_y=381&top_left_x=1271)
$A B$ is parallel to $C D$ yes; $A B$ is parallel to $A D$ : no, $B C$ is perpendicular to $A B$ : yes, $B D$ is perpendicular to $A C$ : no