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For 2, to me, parallelogram ABCD + equal sizes of diagonal = rectangle

As a parallelogram ABCD implies that diagonales crosses one another at their middle points, the equal sizes of diagonal assure us that we have a square... not matter the angle between diagonale

For 2, to me, parallelogram ABCD + equal sizes of diagonal = rectangle

As a parallelogram ABCD implies that diagonales crosses one another at their middle points, the equal sizes of diagonal assure us that we have a square... not matter the angle between diagonale

For 2, to me, parallelogram ABCD + equal sizes of diagonal = rectangle

As a parallelogram ABCD implies that diagonales crosses one another at their middle points, the equal sizes of diagonal assure us that we have a square... not matter the angle between diagonale

For 2, to me, parallelogram ABCD + equal sizes of diagonal = rectangle

As a parallelogram ABCD implies that diagonales crosses one another at their middle points, the equal sizes of diagonal assure us that we have a square... not matter the angle between diagonale

A trapezoid cannot be a parallelogram

Are the diagonals in a rhombus equal?

Not necessary...

If so, it's also a square

thanks

A square is a rhombus and a rectangle. In other words, if each angle of a rhombus is 90° then it's a square.

1. AB = BC = CD = DA = 1
all sides equal, can be a rhombus or square.
Area of a square = s^2
Area of a rhombus = s*h
diff formulas, INSUFF

2. AC = BD = sqrt(2)
diagonals are equivalent. must be a square.
Area of a square = s^2
sides not defined
INSUFF

taken together, we see it is a s:s:sqrt(2) right triangle
area= 1^2=1

For 2, to me, parallelogram ABCD + equal sizes of diagonal = rectangle

As a parallelogram ABCD implies that diagonales crosses one another at their middle points, the equal sizes of diagonal assure us that we have a square... not matter the angle between diagonale

A trapezoid cannot be a parallelogram

Are the diagonals in a rhombus equal?

Not necessary...

If so, it's also a square

thanks

A square is a rhombus and a rectangle. In other words, if each angle of a rhombus is 90° then it's a square.

1. AB = BC = CD = DA = 1 all sides equal, can be a rhombus or square. Area of a square = s^2 Area of a rhombus = s*h diff formulas, INSUFF

2. AC = BD = sqrt(2) diagonals are equivalent. must be a square. Area of a square = s^2 sides not defined INSUFF

taken together, we see it is a s:s:sqrt(2) right triangle area= 1^2=1

Well, one right angle is enough ... As a rhombhus is a paralelogram, 1 right angle creates 1 right angle by a parallel construction then the 2 last ones by another parallel construction