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Is a rhombus a square?
A rhombus by definition has four equal sides and the sum of its internal angles is 360o A square is a speicial case of the rhombus as it is further defined that its internal angles are all equal (to 90o) So, some rhombuses may be squares, and, all squares are rhombuses.
What is the least squares regression line?
Suppose you have two variables X and Y, and a set of paired values for them. You can draw a line in the xy-plane: say y = ax + b. For each point, the residual is defined as the observed value y minus the fitted value: that is, the vertical distance between the observed and expected values. The least squares regression line is the line which minimises the sum of the squares of all the residuals.
What is true of all parallelograms?
The definition of a parallelogram is that it's a quadrilateral in which both pairs of opposite sides are parallel. So, that part is true about all parallelograms. Apart from that, there are some other properties that can be deduced, such as: * Opposite sides are congruent * Opposite angles are congruent * The diagonals bisect one another * The sum of the squares of the sides equal the sum of the squares of the diagonals As well as some other properties.
Definition of converse for pythagorean theroem?
Pythagorean Theorem: In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.Converse: If the square on the hypotenuse is equal to the sum of the squares on the other two sides of a triangle, then it is a right triangle.
In a right triangle the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs?
Yes
