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How do you prove that the diagonals of a rhombus are perpendicular to each other?

Corresponding parts of congruent triangles are congruent, so all 4 angles (the ones in the middle) are congruent. This leads to the fact that they are all equal to 90 degrees, and the diagonals are perpendicular to each other.

Are the diagonals of a rhombus Bisectors?

Theorem for Rhombus Diagonals The diagonals of a rhombus bisect the interior angles. The diagonals of a rhombus are _____________________________ bisectors of each other.

What does it mean if diagonals are perpendicular ⊥?

What does it mean if diagonals are perpendicular (⊥)? They bisect the vertex. Where they intersect is a 90˚ angle. They are equal.

What is the rhombus diagonals Theorem?

THEOREM: If a parallelogram is a rhombus, each diagonal bisects a pair of opposite angles. THEOREM Converse: If a parallelogram has diagonals that bisect a pair of opposite angles, it is a rhombus.

Is area of rhombus and square same?

A square always has four 90 degree angles. The angles of a rhombus can be any measure (each pair of opposite angles will be equal, and all four will always add up to 360). So yes, a square is always a rhombus, but a rhombus is not always a square.

What is the difference between diagonals of square and rhombus?

The opposite angles of a parallelogram are always equal. The diagonals of a parallelogram bisect each other….The Below Table Shows Some Points on Rhombus and Square Differences.

Square Rhombus
The diagonals of a square of equal in size The diagonals of a rhombus are unequal in size

What is a rhombus and its properties?

Convex polygon

Does a trapezium have equal angles?

A trapezium, also known as a trapezoid can have either zero or two pairs of equal angles. If the two non-parallel sides are not the same length, all…