Question

two streets intersect at a 30-degree angle. At the intersection, there are four crosswalks formed that are the same length. What type of quadrilateral is formed by the cross walks

Answer 1

Hello, please refer to the diagram for the illustration of the crosswalks.

The black lines are the two streets and the red lines at the intersection are the four crosswalks. By knowing the angle of intersection by the two streets, we can arrive at the angles stated in the diagram. These were deduced by using the concept of parallel lines cut by a transversal and vertical angles.

Now, we can see that the two opposite angles of the quadrilateral formed are equal. By looking at the figure, we know that the quadrilateral formed is a parallelogram.

ANSWER: The quadrilateral formed by the crosswalks is a parallelogram.