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A square and a rhombus are always
- a)similar
- b)congruent
- c)similar but not congruent
- d)neither similar nor congruent
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A square and a rhombus are alwaysa)similarb)congruentc)similar but not...
Let AC be the ladder of length 5m and BC = 4m be the height of the wall where ladder is placed. If the foot of the ladder is moved 1.6m towards the wall i.e. AD = 1.6 m, then the ladder is slided upward to position E i.e. CE = x m.
In right triangle ABC
AC2 = AB2 + BC2
⇒52 = AB2 + 42
⇒ AB = 3m
⇒ DB = AB – AD = 3 – 1.6 = 1.4m
In right angled ΔEBD
ED2 = EB2 + BD2
⇒ 52 = EB2 + (1.4)2
⇒ EB = 4.8m
EC = EB – BC = 4.8 – 4 = 0.8m
In right triangle ABC
AC2 = AB2 + BC2
⇒52 = AB2 + 42
⇒ AB = 3m
⇒ DB = AB – AD = 3 – 1.6 = 1.4m
In right angled ΔEBD
ED2 = EB2 + BD2
⇒ 52 = EB2 + (1.4)2
⇒ EB = 4.8m
EC = EB – BC = 4.8 – 4 = 0.8m
Most Upvoted Answer
A square and a rhombus are alwaysa)similarb)congruentc)similar but not...
Square and Rhombus
A square is a four-sided polygon with all sides equal in length and all angles equal to 90 degrees. A rhombus is also a four-sided polygon with all sides equal in length, but its opposite angles are equal, and they do not necessarily equal 90 degrees.
Similarity and Congruence
Similarity and congruence are two important concepts in geometry. Similar figures have the same shape but different sizes, while congruent figures have the same shape and size.
Square and Rhombus Similarity
A square and a rhombus are not always similar. Although a square and a rhombus both have four sides of equal length, they have different angles. A square has four right angles of 90 degrees each, while a rhombus has two acute angles and two obtuse angles.
Square and Rhombus Congruence
A square and a rhombus are not always congruent. While they both have four sides of equal length, their angles are different. A square has four right angles of 90 degrees each, while a rhombus has two acute angles and two obtuse angles.
Conclusion
In conclusion, a square and a rhombus are neither similar nor congruent because they have different angles, despite having equal sides. Therefore, the correct answer is option D.
A square is a four-sided polygon with all sides equal in length and all angles equal to 90 degrees. A rhombus is also a four-sided polygon with all sides equal in length, but its opposite angles are equal, and they do not necessarily equal 90 degrees.
Similarity and Congruence
Similarity and congruence are two important concepts in geometry. Similar figures have the same shape but different sizes, while congruent figures have the same shape and size.
Square and Rhombus Similarity
A square and a rhombus are not always similar. Although a square and a rhombus both have four sides of equal length, they have different angles. A square has four right angles of 90 degrees each, while a rhombus has two acute angles and two obtuse angles.
Square and Rhombus Congruence
A square and a rhombus are not always congruent. While they both have four sides of equal length, their angles are different. A square has four right angles of 90 degrees each, while a rhombus has two acute angles and two obtuse angles.
Conclusion
In conclusion, a square and a rhombus are neither similar nor congruent because they have different angles, despite having equal sides. Therefore, the correct answer is option D.
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Community Answer
A square and a rhombus are alwaysa)similarb)congruentc)similar but not...
A square and a rhombus are neither similar nor congruent.
A congruent figure has exactly the same size and shape. Rhombus is a quadrilateral figure that is in the shape of a diamond with a flat shape with four equal straight sides.
A congruent figure has exactly the same size and shape. Rhombus is a quadrilateral figure that is in the shape of a diamond with a flat shape with four equal straight sides.
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A square and a rhombus are alwaysa)similarb)congruentc)similar but not congruentd)neither similar nor congruentCorrect answer is option 'D'. Can you explain this answer?
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