Answer with explanation:
Properties of Rectangle
1. Opposite sides are equal and parallel.
2. Diagonals are equal and bisect each other.
3. Adjacent Sides are Perpendicular to each other.
→If two lines are parallel their slopes are equal and if two Lines are perpendicular, their product of slopes is -1.
→A Rectangle is a Quadrilateral also.
→Adjacent sides are perpendicular ,so , their slopes can't be equal.Product of their slopes should be equal to ,-1.
⇒Slope of AB × Slope of BC = -1
⇒Also, Slope of AB × Slope of BC = -1
Slope of AB × Slope of AD = -1
⇒ Slope of AD × Slope of CD = -1
Slope of CB × Slope of CD = -1
Option B And Option C
are statement which proves that polygon ABCD is not a rectangle.
A. X is a variable, not a number on the coordinate plane.
Answer:
If we look at the table we notice that 2 + 4 = 6, 3 + 4 = 7, 4 + 4 = 8 and so on so the equation is y = x + 4.
The correct answer is: x = 8 (Option D)
Explanation:
Given ΔABC≅ΔDFE (Triangle ABC is congruent to triangle DFE).
It means that angle B is congruent to angle F, and C is congruent to E ( likewise A is congruent to D). By using this argument, we can say that, BC≅FE. Consequently, we can safely say that the lengths of those sides are also equal in measure. Therefore,
BC = 20
FE = 3x - 4
Since,
BC = FE (By using congruence statement mentioned above)
20 = 3x - 4
3x = 20+4
3x = 24
x = 8
Hence the correct answer is: x = 8
