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Question:
Select all the true statements:
A) Two squares with the same side lengths are always congruent
B) Two rectangles with the same side lengths are always congruent
C) Two rhombuses with the same side lengths are always congruent
D) Two parallelograms with the same side lengths are always congruent
E) Two quadrilaterals with the same side lengths are always congruent
Answer:
A) Two squares with the same side lengths are always congruent
C) Two rhombuses with the same side lengths are always congruent.
Two geometric shapes are called congruent if they have the same size and the same shape.
- A square has all four sides equal, therefore two squares with the same side lengths are always congruent in all respect (shape and area).
- Two rhombuses with the same side lengths are always congruent.
- Two rectangles are congruent if both of them have the opposite sides are equal.
- Two parallelograms are said to be congruent if all four corresponding sides are equal in length & one corresponding internal angle is equal.
Therefore the true statements are A and C.
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