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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.
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What polygon has at least one pair of parallel line segments?
Many polygons, such as squares, rectangles, rhombi, parallelograms, etc. have more than 1 pairs of parallel line segments. Trapezoids have only 1 pair of parallel line segments. These few shapes are just quadrilaterals, other polygons also have more than 1 pair of parallel line segments (e.g. regularhexagons, octagons, etc.). Triangles never have any parallel line segments.
Do all parallelograms have at least one right angle?
The simple answer is no, not all parallelograms have at least one right angle. However, there are some that do. Rectangles and squares are 'special' parallelograms that all have at least one right angle.
How do you form two squares by drawing five lines?
Draw a rectangle with length twice its width, you would have used 4 lines already. Then draw a straight line at the center. The result will be two identical squares.
Does quadrilaterals have least 1 line of symmetry?
No.
How many 3x3 squares are in a strip of squares that is 3 squares tall and 50 squares long?
There are 48 such squares.
