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The common characterisitics of all rectangles are '=
- All angles at 90 degrees
#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.
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What has 6 congruent 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.
Are all rectangles are parallelograms but not all parallelograms are rectanges true or false?
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.
Are all congruent polygons similar?
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!
What is a congruent triangle?
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.
How are parallelogram related to triangles and rectangles?
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°.
