NO!!!
The common characterisitics of all rectangles are '=
#2 Opposite sides are parallel and equal in length.
However, the dimensions of the opposite and equal sides may vary.
e.g.
2 x 3 rectangle; or
5 x 7 reactangle
These are NOT congruent.
For congruency to occur, angles , sides lengths, dimensions MUST all be the same.
That is true. A parallelogram is a quadrilateral with both pairs of opposite sides parallel to one another. Special types of parallelograms include a rhombus (all four sides also congruent to each other), a rectangle (all four interior angles measure 90o), and a square (all four sides congruent and all four interior angles are right). A rectangle is a special case of a parallelogram, therefore all rectangles are by definition parallelograms but not all parallelograms are rectangles.
A larger rectangle whose width is twice as long as one of the smaller rectangles and whose length is three times that of one of the smaller rectangles.
No. You can have two triangles that are congruent to one another, and two quadrilaterals that are congruent to one another. But the triangle cannot be similar to the quadrilateral!
A congruent triangle is one where all the angles are identical to those of another triangle, or equivalently, all three sides are the same ratio to the sides of another triangle.
If you draw one diagonal across a parallelogram, it will split it into two congruent triangles. A rectangle is a parallelogram, with all four angles equal to 90°.
No indeed, but every square is a rectangle. Rectangles have four sides like squares, but they don't have all sides congruent to one another. All rectangles do not possess the same symmetrical lines as squares.
There are various nets. One such is a triangle with three rectangles attached to each side, with a similar triangle attached to one of the rectangles. Three rectangles attached side-by-side, with one triangle attached to the top of one of the rectangles and another, congruent, triangle attached to the bottom.
That is true. A parallelogram is a quadrilateral with both pairs of opposite sides parallel to one another. Special types of parallelograms include a rhombus (all four sides also congruent to each other), a rectangle (all four interior angles measure 90o), and a square (all four sides congruent and all four interior angles are right). A rectangle is a special case of a parallelogram, therefore all rectangles are by definition parallelograms but not all parallelograms are rectangles.
A larger rectangle whose width is twice as long as one of the smaller rectangles and whose length is three times that of one of the smaller rectangles.
No. You can have two triangles that are congruent to one another, and two quadrilaterals that are congruent to one another. But the triangle cannot be similar to the quadrilateral!
All straight lines are congruent to one another.
None. Each has only one square and they are not congruent.
All rhombuses have two pairs of congruent angles (opposite angles are congruent to one another - a square is a special case type of rhombus in which all four angles are congruent).
A congruent triangle is one where all the angles are identical to those of another triangle, or equivalently, all three sides are the same ratio to the sides of another triangle.
you are probably referring to the theory that all rectangles are squares but not all squares are not rectangles. the answer is simple; a rectangle has two sets of parallel line and 4-right angles, where as a square has the same description with one extra detail that it has 4-congruent sides as well. the reason that a square is a rectangle is because a square fits the description of two parallel sides and 4-right angles. A not all rectangles fit the description of a square because it does not have 4 congruent sides.
If you draw one diagonal across a parallelogram, it will split it into two congruent triangles. A rectangle is a parallelogram, with all four angles equal to 90°.
A square has all sides congruent. SIDE A, B, C and D would be congruent in size to one another, and the angles would also be equal to one another. However, most any polygon can be drawn with all sides and angles equal. For instance, an equilateral triangle has all sides and all angles equal, and that is the definition of a polygon. Polygons with more sides are described as "regular" e.g., a stop sign or an equilateral octagon is also a shape that has all sides congruent. A rectangle, however, would not, since only two sides would be congruent to one another.