Answer: Yes
Step-by-step explanation:
Since ABCD is a rectangle, , , , and are all right angles, and are thus all congruent because all right angles are congruent. Furthermore, because ABCD is a rectangle, we know that and . Because we are given that X, Y, Z, and W are midpoints, using the fact that halves of congruent segments are congruent, we can conclude that and that . As a result, we can conclude that by SAS, and thus by CPCTC, . Therefore, since the quadrilateral formed by the midpoints has four congruent sides, it must be a rhombus.
The perimeter of a triangle with length of sides a, b and c:
P = a + b + c
We have a = 4.7, b = 10.5, c = 3.3xy
Substitute:
P = 4.7 + 10.5 + 3.3xy = 15.2 + 3.3xy
<h3>Answer: 15.2 + 3.3xy</h3>