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What shape has 4 congruent sides but not 4 congruent angle?
A rhombus
What is a quadrilateral with opposite sides parallel and congruent and no right angle?
It is a rhombus or a parallelogram
What parallelogram that has four congruent sides?
A square or a rhombus, depending on whether or not there is a right angle.
Would a rhombus and a kite be congruent?
If all of the sides of the kite have the same length, and it happens to be the sameas the length of each side of the rhombus, andeach angle of the kite happens to bethe same size as one of the angles of the rhombus, thenthey can be congruent.
To know about properties of rhombus?
- A rhombus had four sides and four angles - All four sides of a rhombus are congruent - Both pairs of opposite angles of a rhombus are congruent - One angle of a rhombus is supplementary to both of its consecutive angles - The diagonals of a rhombus bisect each other and are perpendicular - Both pairs of opposite sides of a rhombus are parallel
What shape has 4 congruent sides but not 4 congruent angle?
A rhombus
What shape has 4 congruent sides with no right angle?
Rhombus. Because a rhombus has congruent (egual in shape and size) sides, but has no right angles.
Which quadrilateral has 4 congruent sides but no right angle?
-- Rhombus -- Regular parallelogram
What is a quadrilateral with opposite sides parallel and congruent and no right angle?
It is a rhombus or a parallelogram
What parallelogram that has four congruent sides?
A square or a rhombus, depending on whether or not there is a right angle.
What kind of quadrilateral has 4 congruent side but does not have any 90 degree angle in it?
rhombus
Adjacent angles of a rhombus are congruent?
Rhombus' Congruent AnglesIt's not the adjacent angles of a rhombus that are congruent, but the diagonal ones.
Would a rhombus and a kite be congruent?
If all of the sides of the kite have the same length, and it happens to be the sameas the length of each side of the rhombus, andeach angle of the kite happens to bethe same size as one of the angles of the rhombus, thenthey can be congruent.
When is a rhombus a square?
When its angles are right angles
To know about properties of rhombus?
- A rhombus had four sides and four angles - All four sides of a rhombus are congruent - Both pairs of opposite angles of a rhombus are congruent - One angle of a rhombus is supplementary to both of its consecutive angles - The diagonals of a rhombus bisect each other and are perpendicular - Both pairs of opposite sides of a rhombus are parallel
Can someone help with deductive proofs please?
The idea is to show something must be true because when it is a special case of a general principle that is known to be true. So say you know the general principle that the sum of the angles in any triangle is always 180 degrees, and you have a particular triangle in mind, you can then conclude that the sum of the angles in your triangle is 180 degrees. So let's look at one you asked about so you get the idea. The diagonals of a square are also angle bisectors. Since we know a square is a rhombus with 90 angles, if we prove it for a rhombus in general, we have proved it for a square. Let ABCD be a rhombus. Segment AB is congruent to BC which is congruent to CD which is congruent to DA Reason: Definition of Rhombus Now Segment AC is congruent to itself. Reason Reflexive property So Triangle ADC is congruent to triangle ABC by SSS postulate. Next Angle DAC is congruent to angle BAC by CPCTC And Angle DCA is congruent to angle BCA by the same reason. We used the fact that corresponding parts of congruent triangles are congruent to prove that diagonals bisect the angles of the rhombus which proves it is true for a square. The point being rhombus is a quadrilateral whose four sides are all congruent Of course a square has 4 congruent sides, but also right angles. We don't need the right angle part to prove this, so we used a rhombus. Every square is a rhombus, so if it is true for a rhombus it must be true for a square.
What is a quadrilateral with two pairs of parallel and congruent sides?
A rhombus, or a square if there is a 90o angle.
