When a figure is dilated, this means the corresponding sides of the shape is enlarged in a uniform multiple. In thsi case, the ratio of the sides remains the same. Thus, when ratio of the sides remains the same, the corresponding angles are also congruent in the dilated figure.
In a topographical map of a city, the vertices of the city limits are A(10,9),B(18,9),C(18,2),D(14,4.5),E(10,4.5). The coordinat
Kipish [7]
Answer:
41 square miles
Step-by-step explanation:
There are several ways you can compute the area of this polygon. We have elected to divide it into a rectangle and a triangle.
The rectangle has dimensions 8 × 4.5, so area ...
A = LW = 8 × 4.5 = 36 . . . . . square miles
The triangle has height 2.5 and base 4, so area ...
A = (1/2)bh = (1/2)(4)(2.5) = 5 . . . . . square miles
Then the total area is the sum of these:
36 + 5 = 41 . . . . . square miles
From the Special Triangle Theorem, the hypotenuse is equal to the side lengtht times the Sqrt(2).
So hypotenuse H = xSqrt(2), x=H/Sqrt(2).
Using numbers, if H = 7, then x = 7/Sqrt(2) = 7Sqrt(2)/2 to rationalize it.
1/3 divided by 6 can be thought of as 1/3 times 1/6 which equals our answer 1/18
