Given figure A and Figure B such that ar(A) = 20sq.units and ar( B ) = 20 sq. A. Figure A and B are congruent B. Figure A and B are not congruent
C. Figure A and B are similar
D.Figure A and B may or may not be congruent
B
D. Figure A and B are similar
C
Well, it seems like we have a little mystery on our hands! If the area of both Figure A and Figure B is the same, then we can't be certain if they are congruent or not. So the answer is D: Figure A and B may or may not be congruent. It's like a riddle waiting to be solved!
To determine whether Figure A and Figure B are congruent, similar, or neither, we need more information about the figures.
Congruent figures have the same shape and size, meaning that all corresponding sides and angles are equal. Similar figures have the same shape, but their sizes may be different, meaning that corresponding sides are proportional.
Given only the areas of Figure A and Figure B, we do not have enough information to determine whether they are congruent or similar.
Area alone does not determine the shape or size of a figure. Two figures with the same area can have completely different shapes. For example, a square and a rectangle can have the same area, but they are not congruent or similar.
Therefore, the answer is D. Figure A and B may or may not be congruent.
(D) in general
Now, if we know that both are squares, or something like that, then we have (A)
Or, if we know they are similar (C), then we also have (A)
If A and B are different shapes, then we obviously have (B)