Answer:
Option (1).
Step-by-step explanation:
Given question is incomplete: find the complete question in the attachment.
From the given figure, coordinates of the points A and B are (0, 2) and (2, 0) respectively.
Slope of line AB = 
When these points are dilated by a scale factor = 2, about the origin
Rule for the dilation → (x, y) → (kx, ky)
Where k = scale factor
Coordinates of the points A' and B' will be (0, 4) and (4, 0)
Slope of the line A'B' =
Since 
, both the lines AB and A'B' will be parallel.
Therefore, option (1) will be the answer.
A. The perimeter of quadrilaterals are same when x=2.
B. The area of quadrilaterals are same when x=4.6
<u>Step-by-step explanation</u>:
A. <u>Perimeter of the quadrilaterals must be equal.</u>
- Perimeter of square is 4a.
- where, a = 6
- Perimeter of rectangle is 2(l+b).
- where, l = 2 and b = (3x+4)
Perimeter of square = Perimeter of rectangle
4(6) = 2(2+3x+4)
⇒ 24 = 2(3x+6)
⇒ 24 = 6x + 12
⇒ 6x = 12
⇒ x = 12/6
x = 2
For x=2, the perimeters of both the quadrilaterals are same.
B. <u>Area of the quadrilaterals must be equal.</u>
- Area of square is a².
- where, a = 6.
- Area of rectangle is l
b. - where, l = 2 and b = (3x+4)
Area of square = Area of rectangle
(6)² = 2(3x+4)
36 = 6x+8
6x = 28
x = 28/6
x = 4.6
For x=4.6, the area of both the quadrilaterals are same.
Answer:
15/2
Step-by-step explanation:
<---(())7--)87-((76-
Answer:
x > 7/3
Step-by-step explanation:
Distribute by 8 first
4x - 2 > 12 - 2x
6x - 2 > 12
6x > 14
x > 14/6. or x > 7/3
