Supplementary angles are two angles that add up to 180 degrees. An acute angle (less than 90 degrees) and an obtuse angle (more than 90 degrees) can add up to 180 degrees.

The distance from the origin to a point (x, y) is given by √(x² + y²). The point (0, 1) has a distance of 1, which is the smallest.

Substituting x = 2 into the equation y = 2(2) + 1 gives y = 5, so the point (2, 5) lies on the line.

A concave hexagon has at least one interior angle greater than 180 degrees, which makes it a non-convex polygon.

A star-shaped polygon has at least one interior angle greater than 180 degrees, making it concave.

A rhombus has all sides equal and opposite angles equal.

A square has equal diagonals, which is a property of squares and rectangles.

In a parallelogram, the diagonals bisect each other, which is a defining property of parallelograms.

In a rectangle, opposite sides are equal and all angles are indeed 90 degrees.

A triangle has no diagonals, as it has only three vertices. The formula for the number of diagonals in a polygon is n(n-3)/2, where n is the number of sides.

The sum of the angles in any triangle is always 180 degrees, which is a fundamental property of triangles.

When two lines intersect, the angles opposite each other (vertical angles) are always equal. Therefore, the correct statement is that vertical angles are always equal.

The slope between any two pairs of these points is the same (1), indicating they are collinear.

A polygon with all sides and angles equal is known as a regular polygon.

A tangent is defined as a line that touches a circle at exactly one point.

Using the formula for the area of a triangle, the triangle with sides 7, 24, 25 has the largest area due to its larger base and height.

A rhombus has all sides equal, but the angles are not necessarily equal.