Length and width of the rectangle
2 answers:
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Answer:
The linear equation for the line which passes through the points given as (-1,4) and (5,2), is written in the point-slope form as .
Step-by-step explanation:
A condition is given that a line passes through the points whose coordinates are (-1,4) and (5,2).
It is asked to find the linear equation which satisfies the given condition.
Step 1 of 3
Determine the slope of the line.
The points through which the line passes are given as (-1,4) and (5,2). Next, the formula for the slope is given as,
Substitute 2&4 for and
respectively, and
for
and
respectively in the above formula. Then simplify to get the slope as follows,
Step 2 of 3
Write the linear equation in point-slope form.
A linear equation in point slope form is given as,
Substitute for m,-1 for
, and 4 for
in the above equation and simplify using the distributive property as follows,
Step 3 of 3
Simplify the equation further.
Add 4 on each side of the equation , and simplify as follows,
This is the required linear equation.
Answer:
True
Step-by-step explanation:
A rectangle is a plane figure with congruent length of opposite sides. Considering a rectangle ABCD,
AD ≅ BC (opposite side property)
AB ≅ CD (opposite side property)
<ABC = <BCD = <CDA = <DAC = (right angle property)
Thus,
<ABC + <BCD + <CDA + <DAC =
AC ⊥ BD (diagonals are perpendicular to each other)
AC ≅ BD (congruent property of diagonals)
Therefore, the parallelogram is a rectangle.