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☆☆☆☆☆Cards in this guide (7)
When is a rhombus a rectangle
when its angles are right angles apex 5.5.3 quiz geometry.
When is a rectangle a square
A rectangle is a square when all of its sides are the same length.
A rectangle is SOMETIMES a square.
However, a square, is ALWAYS a rectangle.
This is due to the properties held by a rectangle as well as properties of a square.
Properties of Rectangle:
- Opposite sides are congruent.
- All angles are 90o.
- Opposite sides are parallel.
- Opposite central angles created by the diagonals are congruent.
- All diagonals are congruent.
Properties of a Square:
- All sides are congruent.
- All angles are 90o.
- Opposite sides are congruent.
- Opposite sides are parallel.
- Diagonals intersect at a 90o angle.
- All diagonals are congruent.
So one can have a square that is always a rectangle due to the properties. However, a rectangle will only be a square if properties are the same as a square.
Sometimes
When all of its sides are exactly the same length.
In a given quadrilateral each side is parallel to its opposite side and the diagonals are not perpendicular What could it be
Parallelogram and a rectangle
Is the altitude of an equilateral triangle equal to a side length
No. The altitude is smaller.
The diagonals of a square are equal in length
Yes.
Which of these figures must be a rectangle
A parallelogram with at least one right angle
If the diagonals of a quadrilateral bisect each other then the quadrilateral is a parallelogram.
True
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