PLEASSSEEEE HELPPPP
WXYZ has vertices W(6,2), X(3,7), Y(-1,4), and Z(4,-2)
a)Find perimeter
b)Find the perimeter of the image of WXYZ after dilation of 1/2 centered at origin and compare it to perimeter of WXYZ
Answers
Answer:
23,11333753
Step-by-step explanation:
1. Use The Coordinates To Find The Distances Of The Four Sides
2. The Formula For Perimeter Or A Quad =
AB + BC + CD + AD
Basically Add The Distances Of The Four Sides
So: WX + XY + YZ + WZ
[tex] \sqrt{34} + 5 + \sqrt{61} + 2 \sqrt{5} [/tex]
= 23,11333753
.°. 23,1
b.????
We can write the parameter as -
P = 23.13P = 11.55What is a quadrilateral?In geometry a quadrilateral is a four-sided polygon, having four edges and four corners.
Given is that WXYZ has vertices W(6, 2), X(3, 7), Y(-1, 4), and Z(4, -2).
The distance between two points is the length of the path connecting them. The shortest path distance is a straight line. In a 2 - dimensional plane, the distance between points (x₁, y₁) and (x₂, y₂) is given by the Pythagorean theorem -{d} = √{(x₂ - x₁)² + (y₂ - y₁)²}
{ a } -
WX = 5.83
XY = 5
YZ = 7.8
ZW = 4.5
So the perimeter would be -
P = WX + XY + YZ + ZW
P = 5.83 + 5 + 7.8 + 4.5
P = 23.13
{b} - After the dilation, the sides will become -
WX' = 5.83/2 = 2.9
XY' = 5/2 = 2.5
YZ' = 7.8/2 = 3.9
ZW' = 4.5/2 = 2.25
The perimeter will be -
P = WX' + XY' + YZ' + ZW'
P = 2.9 + 2.5 + 3.9 + 2.25
P = 11.55
Therefore, we can write the parameter as -
P = 23.13P = 11.55To solve more questions on dilations, visit the link below -
brainly.com/question/12413243
#SPJ5
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