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 l

Question

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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 l

abeled in alphabetical order going clockwise around the figure. If AB=3 units and AD=5 units, what is the length of B'C'? A. 3 units B. 5 units C. 9 units D. 11 units

Mathematics

2 answers:

kondor19780726 [428] · Answer 1 · 2021-12-11T16:14:01+03:00

The problem ask on which of the following choices is the length of B'C' if recatangle ABCD translate 4 untis down and 2 unit to the right to form a rectangle A'B'C'D' and the best answer would be letter B. 5 units. I hope you are satisfied with my answer and feel free to ask for more

Sonbull [250] · Answer 2 · 2021-12-11T17:27:17+03:00

Answer:

Option: B is the correct answer.

B. 5 units.

Step-by-step explanation:

Rectangle ABCD translates 4 units down and 2 units to the right to form rectangle A'B'C'D'.

We know that when a figure is translated by some units then the coordinates of the figure changes but the size and shape of the figure remains the shape.

The size is changed when we are dilating a figure.

If AB=3 units and AD=5 units.

Then as ABCD is a rectangle.

Hence,

BC=AD

Hence, BC=5 units.

Also we know that:

ABCD → A'B'C'D'

i.e. BC → B'C'

Hence, Length of BC=Length of B'C'.

Hence, B'C'=5 units.