Log in Goezonme 5 years agoPosted 5 years ago. Direct link to Goezonme's post “Is a square always a romb...” Is a square always a rombus? (18 votes) Polina Vitić 5 years agoPosted 5 years ago. Direct link to Polina Vitić's post “Yes, because a *rhombus* ...” Yes, because a rhombus is a parallelogram with equal sides, and a square is also a parallelogram with equal sides. The difference is that the square also has four right angles. Rhombus Square Notice that the square - by definition - always meets the criteria for a rhombus. So every square is also a rhombus! However, not every rhombus is a square: if the rhombus has 2 acute angles and 2 obtuse angles, then it is just a rhombus. Hope this helps! (24 votes) KhanAcademyUser 8 years agoPosted 8 years ago. Direct link to KhanAcademyUser's post “Just a quick question tha...” Just a quick question that's been on my mind: Is it possible for any trapezoid to have the pair of parallel sides having equal length? If it did, it would be considered a square, right? But is a square considered a trapezoid? :/ • (5 votes) andrew26330 8 years agoPosted 8 years ago. Direct link to andrew26330's post “No. By definition trapezo...” No. By definition trapezoids will always have only one pair of parallel sides. Having a trapezoid with two parallel sides of equal length would give you two pairs of parallel sides, which would be considered a rectangle instead of a trapezoid. A square will also always have two pairs of parallel sides, and thus cannot be a trapezoid. (7 votes) pcreativecrafter 8 years agoPosted 8 years ago. Direct link to pcreativecrafter's post “is there any proof that i...” is there any proof that if a parallelogram has one right angle, it's a rectangle? • (7 votes) light city 8 years agoPosted 8 years ago. Direct link to light city's post “Well, the definiton of pa...” Well, the definiton of parallelogram is that both pairs of sides are parallel - what I mean by pairs of sides is tricky to explain without a drawing, so I'm gong to assume you already know it. The diefinition of right angle is a measure of 90 deg, which means the two lines are perpendicular to each other. So with some logic you can see that if one line a is perpendicular to line b, and line c is parallel to line a, then line b has to be perpendicular to c as well. Right? And that means the angle between b and c has to be a right angle as well. You can keep going around the parallelogram and get four right angles, which means it's a rectangle (2 votes) meghatchanda a year agoPosted a year ago. Direct link to meghatchanda's post “soo, every shape with fou...” soo, every shape with four sides is a quadriladeral? • (6 votes) ninqunar a month agoPosted a month ago. Direct link to ninqunar's post “Yeah, quad means 4. To be...” Yeah, quad means 4. To be a quadrilateral, it HAS to have no curves AND be a closed shape. (1 vote) macklyl 4 years agoPosted 4 years ago. Direct link to macklyl's post “is a square always a rhom...” is a square always a rhombus ? Ian Pulizzotto 4 years agoPosted 4 years ago. Direct link to Ian Pulizzotto's post “A square is defined as a ...” A square is defined as a quadrilateral with 4 equal sides and 4 equal angles. A rhombus is defined as a quadrilateral with 4 equal sides. Comparing these definitions, we see that, yes, every square is a rhombus. However, not every rhombus is a square (for example, think of a tall and thin diamond shape). (5 votes) edward 4 years agoPosted 4 years ago. Direct link to edward's post “i am still confused.for e...” i am still confused.for example,at • (4 votes) Bradley Reynolds 4 years agoPosted 4 years ago. Direct link to Bradley Reynolds's post “He picked rhombus instead...” He picked rhombus instead of parallelogram because rhombus is the most specific item from the list. The question asks for us to "be as specific as possible" so while it is a parallelogram, that answer would be wrong. (6 votes) Kake 7 years agoPosted 7 years ago. Direct link to Kake's post “What is a trapezoid and i...” What is a trapezoid and isosceles trapezoid? • (4 votes) David Severin 7 years agoPosted 7 years ago. Direct link to David Severin's post “Imagine starting with a t...” Imagine starting with a triangle and cutting off the top parallel to the base of the triangle. That gives you a trapezoid which could be defined as a quadrilateral with exactly one set of parallel lines. Now if you start with an isosceles triangle with the base being the non-equal side, do the same thing and the two non-parallel sides are also congruent, so you have an isosceles trapezoid. (6 votes) Zainde Jareneii 9 years agoPosted 9 years ago. Direct link to Zainde Jareneii's post “How come the exercises cl...” How come the exercises claim that if every side has the same length, the quadrilateral has to be a rectangle? I was always taught only a square had all four sides of the same length and rectangles had two sets of parallels that differed in length. • (5 votes) Lilly 7 years agoPosted 7 years ago. Direct link to Lilly's post “what does "the given data...” what does "the given data" mean? • (3 votes) wyatt.vick24 7 years agoPosted 7 years ago. Direct link to wyatt.vick24's post “It means the data that is...” It means the data that is already there or the data that is included in the question. (5 votes) Nish*tha Hundi 6 years agoPosted 6 years ago. Direct link to Nish*tha Hundi's post “If a quadrilateral has 4 ...” If a quadrilateral has 4 equal sides, then it must be a _________? • (2 votes) La Brant, Geoff 6 years agoPosted 6 years ago. Direct link to La Brant, Geoff's post “rhombus first, because a ...” rhombus first, because a square is a particular type of rhombus (6 votes)Want to join the conversation?
- 4 equal sides
- parallelogram
- 4 equal sides
- parallelogram
- 4 equal 90° angles
1:24
Rhombus is more specific because rhombi are a subset of parallelograms, meaning all rhombi are parallelograms, but not all parallelograms are rhombi. Rhombus is a parallelogram with all equal sides.
Trapezoids have different definitions and meanings depending on where you are in the world and which Math definition you choose. In Great Britain, what Americans call a trapezoid is called a trapezium (see http://mathworld.wolfram.com/Trapezium.html for some history), and an alternate definition of exactly one pair of parallel sides is given as AT LEAST one pair of parallel sides which would put all parallelograms under this definition. Sorry for the added confusion, but that is where Math is with the term.
- would the answer be a rhombus, square, or both?
See Also
Congruent Sides - Definition, Congruent Sides in Triangles & Quadrilaterals, ExamplesTriangle congruence review (article) | Khan AcademyTypes of Quadrilaterals - Math Steps, Examples & QuestionsSquare, Rectangle, Rhombus, Trapezoid, Parallelogram