We want to construct a quadrilateral with the given description. In this case, we want to draw a kite with side lengths of 4 centimeters and 7 centimeters. We can recall that a kite is a quadrilateral with two pairs of congruent sides and two diagonals that are always perpendicular to each other.
To construct our kite, we can start by opening our compass to 7 centimeters. Then, we can put the compass at one point, denoted with A, and draw an arc. Let's do it!
Next, we can open the compass to 4 centimeters. Then, we can put the compass at the vertex C and draw another arc.
The two missing vertices of our kite are the points of intersection between the two arcs. We can denote the vertices with B and D. Now, we can connect the vertices using a ruler.
Finally, we can draw our kite with side lengths of 4 centimeters and 7 centimeters.
