Rectangle ABCD translates 4 units down and 2 units to the right to form rectangle A'B'C'D'. The vertices of rectangle ABCD are labeled in alphabetical order going clockwise around the figure. If AB = 3 units and AD = 5 units, what is the length of B'C'?
A.
11 units
B.
5 units
C.
3 units
D.
9 units
Answers
Answer:
a
Step-by-step explanation:
rectangular abcd translates given an equal 3 and as equal 5
to prove length of be
Concept
Rectangle is a four sided quadrilateral whose opposite sides are equal.
Given
Rectangle ABCD translates 4 units down and 2 units to the right to form rectangle A'B'C'D'. AB = 3 units and AD = 5 units.
Find
The length of new side B'C'.
Solution
Rectangle can be translated on a 2D plane by moving it to different points or rotating it an angle by fixing one of its vertices.
Rotating a rectangle by an angle wont change the dimensions of the figure.
Since the rectangle is moved from one set of points to other without rotating or changing the dimensions of rectangle , The dimensions wont be affected. Hence,
Length BC = length AD = Length B'C' = 5units.
The length of new side B'C' is 5 units.
#SPJ2