How do we recognize that the quadrilateral in front of us is actually a rectangle?
In two quite simple ways!
How do we recognize that the quadrilateral in front of us is actually a rectangle?
In two quite simple ways!
A rectangle is a quadrilateral whose angles are equal to degrees, if we can prove that this is also the case for our quadrilateral, we can prove that it is a rectangle.
This form is a bit more complicated, as it involves two steps.
So, why is it useful?
There are five ways to prove that a quadrilateral is a parallelogram, so many times (depending on the data) it will be easier to prove that the quadrilateral is a parallelogram.
Once we have been able to prove this, we can move on to the next step and prove why this parallelogram is a rectangle.
Remember, a rectangle is a special case of a parallelogram.
Given the quadrilateral ABCD so that
AD||BC , AB||CD
Indicate if the quadrilateral is a rectangle.
It is possible to draw a quadrilateral that is not a rectangle, with the sum of its two adjacent angles equaling 180?
It is possible to have a rectangle with different angles?
It is possible to draw a quadrilateral that is not a rectangle and that has two equal opposite sides?
It is possible to draw a quadrilateral that is not a rectangle and that has two opposite parallel sides?
Given the quadrilateral ABCD so that
AD||BC , AB||CD
Indicate if the quadrilateral is a rectangle.
In a rectangle, it is known that all angles measure 90 degrees.
Since we know that angle B is equal to 100 degrees, the quadrilateral cannot be a rectangle.
No
It is possible to draw a quadrilateral that is not a rectangle, with the sum of its two adjacent angles equaling 180?
Yes.
It is possible to have a rectangle with different angles?
No
It is possible to draw a quadrilateral that is not a rectangle and that has two equal opposite sides?
Yes.
It is possible to draw a quadrilateral that is not a rectangle and that has two opposite parallel sides?
Yes.
It is possible to draw a quadrilateral that has opposite angles and is not a rectangle?
There may be a rectangle with an acute angle.
ABCD is a square with sides measuring 4 cm.
Is ABCD a rectangle?
It is possible to draw a quadrilateral that is not a rectangle and that has diagonals which are not perpendicular to each other?
It is possible to draw a quadrilateral that is not a rectangle and has diagonals that cross?
It is possible to draw a quadrilateral that has opposite angles and is not a rectangle?
Yes.
There may be a rectangle with an acute angle.
Not true
ABCD is a square with sides measuring 4 cm.
Is ABCD a rectangle?
Yes
It is possible to draw a quadrilateral that is not a rectangle and that has diagonals which are not perpendicular to each other?
Yes.
It is possible to draw a quadrilateral that is not a rectangle and has diagonals that cross?
Yes.
A rectangle can have diagonals that are not equal.
ABCD is a Given the quadrilateral.
AD||BC
AB||CD
Is the quadrilateral a rectangle?
Given the quadrilateral ABCD so that
AD||BC , AB||CD
Indicate if the quadrilateral is a rectangle.
Given the quadrilateral ABCD so that
AD||BC , AB||CD
Indicate if the quadrilateral is a rectangle.
Given the quadrilateral ABCD so that
AD||BC , AB||CD
Indicate if the quadrilateral is a rectangle.
A rectangle can have diagonals that are not equal.
False
ABCD is a Given the quadrilateral.
AD||BC
AB||CD
Is the quadrilateral a rectangle?
Yes.
Given the quadrilateral ABCD so that
AD||BC , AB||CD
Indicate if the quadrilateral is a rectangle.
Yes
Given the quadrilateral ABCD so that
AD||BC , AB||CD
Indicate if the quadrilateral is a rectangle.
No
Given the quadrilateral ABCD so that
AD||BC , AB||CD
Indicate if the quadrilateral is a rectangle.
Yes