Assertion: rectangle's diagonal | /r/HasProperty | congruent
Facets:
value: to each other
type: TRANSITIVE-OBJECT
value: for any rectangle
type: OTHER
value: mo
type: OTHER
value: always
type: DEGREE
Source sentences:
text: The diagonals of a rectangle are congruent.
text: As you can hopefully see, both diagonals equal 13, and the diagonals will always be congruent because the opposite sides of a rectangle are congruent allowing any rectangle to be divided along the diagonals into two triangles that have a congruent hypotenuse.
text: Since the diagonals of a rectangle are congruent, RT has the same length as SA.
text: Since the diagonals of a rectangle are congruent MO = 26.
text: Therefore $$ \angle SZA = 120° $$ Next, remember that the diagonals of any parallelogram bisect each other and the diagonals of a rectangle are congruent.
text: The diagonals of a rectangle are congruent;
text: The diagonals are congruent to each other.
text: If the diagonals of a parallelogram are congruent, then it’s a rectangle (neither the reverse of the definition nor the converse of a property).
text: Reason for statement 10: The diagonals of a rectangle are congruent.
text: Rectangles do have congruent diagonals, and so do squares.
text: Theorem 16.5: If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.
text: The diagonals are congruent.
text: The diagonals of a rectangle are congruent.
text: From above, we know that the diagonals of a rectangle are congruent, so let's set segments AC and BD equal to each other:
text: The diagonals are congruent.
text: Let's see why we can claim that the diagonals are congruent.
text: This shows that for any rectangle, the diagonals will be congruent.
text: Showing that the diagonals are congruent is a great way to show that a figure is a rectangle when you already know that the figure is a parallelogram.
text: We can do this by showing that that the diagonals are congruent or by showing that one of the angles is a right angle.
text: Let's see why we can claim that the diagonals are congruent.
text: This shows that for any rectangle, the diagonals will be congruent.
text: Showing that the diagonals are congruent is a great way to show that a figure is a rectangle when you already know that the figure is a parallelogram.
text: Next,We can do this by showing that that the diagonals are congruent or by showing that one of the angles is a right angle.
text: opposite sides are parallel opposite sides are congruent diagonals bisect each other diagonals are congruent each of the interior angles must be #90^@#
text: The diagonals of a rectangle are congruent to each other, which is a trick that people use in construction, if they're trying to build a rectangular room.
text: Now I didn't use a different number of marking here since the diagonals are congruent.
text: You could call it a regular quadrilateral, you could call it equal regular rhombus but the other key thing is that the diagonals are congruent, so basically a square is just putting together everything that you know about a parallelogram, about a rhombus and a rectangle.
text: So the diagonals are congruent to each other, the diagonals bisect each other and are perpendicular, so I can mark these 4 as congruent and they bisect the angles that they intercept.