Answer:
The correct answer is diagonals are equal and bisect each other.
Step-by-step explanation:
A rectangle is a quadrilateral with opposites sides equal in length and all interior angles equal to 90°. Opposite sides are parallel and adjacent sides are perpendicular. Diagonals in a rectangle are equal in length and they bisect each other. If we want to draw a circumcircle, then the point of intersection of these diagonals give the circumcenter.
Answer:
.
Step-by-step explanation:
We have been given an equation
. We are supposed to solve our given equation step by step.
Step 1: Use the distributive property.


Step 2: Combine like terms.


Step 3: Use subtraction property of equality:


Step 4: Use the division property of equality:


Therefore, the solution of our given equation is
.
A dilation is a transformation

, with center O and a scale factor of k that is not zero, that maps O to itself and any other point P to P'.
The center O is a fixed point, P' is the image of P, points O, P and P' are on the same line.
In a dilation of

, the scale factor,

is mapping the original figure to the image in such a way that the
distances from O to the vertices of the image are half the distances
from O to the original figure. Also the size of the image is half the
size of the original figure.
Therefore, <span>If

is a dilation of △ABC, the truth about the image △A'B'C'</span> are:
<span>AB is parallel to A'B'.

The distance from A' to the origin is half the distance from A to the origin.</span>
The law of cosines is:
c² = a² + b² - 2abCos(C)
Therefore, in order to apply this law, we must know the value of two adjacent sides, represented by a and b here, and the value of their subtended angle, represented by C.