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Yes, all parallelograms can be split into two congruent triangles. This is achieved by drawing a diagonal line connecting two opposite vertices. This diagonal divides the parallelogram into two triangles that are congruent by the Side-Angle-Side (SAS) postulate, as they share a side (the diagonal), and the angles formed at the vertices are equal.
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What solid with two parallel bases that are congruent triangles has later faces that are parallelograms?
It is a prism. More specifically, "A solid figure that has two bases that are parallel, congruent polygons and with all other faces that are parallelograms." This describes the general prism. Replace "polygons" with "triangles" and you have specified a triangular prism.
What are the two properties of congruent triangles?
All the corresponding sides in congruent triangles are equal All the corresponding angles in congruent triangles are equal
Are two triangles are congruent if they have the same base?
No. All corresponding sides and angles have to be congruent for the triangles to be congruent.
If all corresponding sides and angles of two triangles are congruent those triangles are?
The triangles are also congruent.
Do all parallelograms have diagonals which bisect?
Yes; all parallelograms have diagonals that bisect each other. Other properties of parallelograms are: * The opposite sides are congruent. * The opposite sides are parallel. * The opposite angles are congruent.
What solid with two parallel bases that are congruent triangles has later faces that are parallelograms?
It is a prism. More specifically, "A solid figure that has two bases that are parallel, congruent polygons and with all other faces that are parallelograms." This describes the general prism. Replace "polygons" with "triangles" and you have specified a triangular prism.
Do parallelograms have four congruent sides?
Not all parallelograms do but a rhombus does.
What are the two properties of congruent triangles?
All the corresponding sides in congruent triangles are equal All the corresponding angles in congruent triangles are equal
What parallelograms have congruent opposite sides?
All of them.
Are two triangles are congruent if they have the same base?
No. All corresponding sides and angles have to be congruent for the triangles to be congruent.
If all corresponding sides and angles of two triangles are congruent those triangles are?
The triangles are also congruent.
Do all parallelograms have diagonals which bisect?
Yes; all parallelograms have diagonals that bisect each other. Other properties of parallelograms are: * The opposite sides are congruent. * The opposite sides are parallel. * The opposite angles are congruent.
Which property is not true for all parallelograms?
Diagonals are congruent
What is the counterexample of all parallelograms have congruent diagonals?
Tiiangle
What is a parallelograms with all sides congruent?
It is a rhombus.
Does a triangle have 2 congruent sides?
Some, but not all. Triangles with 2 congruent sides are called isoceles triangles. Triangles with 3 congruent sides are called equilateral triangles.
Are all squares and triangles parallelograms?
Yes, all squares and rectangles are types of parallelograms since they have opposite sides that are equal and parallel. However, not all triangles are parallelograms, as triangles do not have opposite sides or angles. A parallelogram specifically requires four sides, while a triangle only has three.
