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JKLMN is a regular pentagon and the diagonal JL and JM are joined because of the symmetry of the pentagon all three triangles are isosceles and the left and right triangles are congruent calculate?
Wiki User
∙ 16y ago
the all 5 sides of pentagon are identical , so all the sides are equal to each other now D is the point which is the center of the pentagon , so the bisector drawns of the angles are equal to each other therefore all the sides of the penagon are equal which says that the equilateral triangles has all the sides equal therefore the triangles are equilateral triangles
Wiki User
∙ 16y ago
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Yes, since all the sides of a square are equal and the definition of an isosceles triangle is to have at least two congruent sides. The congruent triangles formed are 45-45-90 triangles, so the diagonal will be the longest side with the right angle formed where the two sides of the square meet.
Can any two triangles be joined to make a rhombus?
No. A rhombus has all four sides of equal length. To split a rhombus into only 2 triangles, it must be split along a diagonal; which means that 2 of the sides of one of the triangles must be the same length as the sides of the rhombus, which being equal mean the triangles must be (at least) isosceles - scalene triangles will not work. Further, as the diagonal will be a common length to each of the triangles (the length of their third sides), it will form the base (ie the side opposite the vertex between the sides of equal length) of the isosceles triangles, and so the triangles must be to congruent isosceles triangles. If the diagonal has the same length as the side of the rhombus, then the two congruent triangles will be congruent equilateral triangles.
Can any triangles be joined to make a rhombus?
No. A rhombus has all four sides of equal length. To split a rhombus into only 2 triangles, it must be split along a diagonal; which means that 2 of the sides of one of the triangles must be the same length as the sides of the rhombus, which being equal mean the triangles must be (at least) isosceles - scalene triangles will not work. Further, as the diagonal will be a common length to each of the triangles (the length of their third sides), it will form the base (ie the side opposite the vertex between the sides of equal length) of the isosceles triangles, and so the triangles must be to congruent isosceles triangles. If the diagonal has the same length as the side of the rhombus, then the two congruent triangles will be congruent equilateral triangles.
A diagonal forms two non-congruent triangles?
False. A diagonal of a parallelogram produces 2 congruent triangles
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A heptagon has 4 diagonal lines and 7 sides and it has 2 congruent diagonal lines and 2 congruent triangles
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two congruent triangles
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yes
If a diagonal is drawn in a parallelogram then two congruent triangles are formed?
True.
Is the diagonal of square from 6 pairs of congruent triangles?
The statement is false.
Does a diagonal of a square always create 2 congruent triangles?
Yes
What shape has a diagonal that forms 2 non congruent triangles?
A trapezoid.
If a diagonal is drawn in a parallelogram then two congruent triangles are formed.?
Correct
