Kite Geometry and Angle Measures

The set of all possible input values (x) for which a function is defined.

The perpendicular segment from a vertex to the opposite side (hypotenuse).

A right triangle with angles measuring 30°, 60°, and 90°.

The angle formed by a horizontal line and the line of sight looking downward.

A polygon with sides that are not all the same length and/or angles that are not all the same measure.

One of the angles inside a six-sided polygon.

The sum of the lengths of all three sides of a triangle.

The sum of the interior angles of any triangle is always 180 degrees.

Two angles formed by the intersection of two lines that share the same vertex and are opposite each other.

Two angles that add up to 90 degrees.

Two angles that add up to 180 degrees.

An angle that measures greater than 90 degrees but less than 180 degrees.

Two lines that lie in the same plane and never intersect.

Two lines that intersect at a right angle (90 degrees).

Parallelograms with specific properties: Square (all sides equal, all angles right), Rectangle (opposite sides equal, all angles right), Rhombus (all sides equal), Kite (two pairs of adjacent sides equal).

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

The converse of a statement switches the hypothesis and the conclusion. Example: Original: If it is raining, then the ground is wet. Converse: If the ground is wet, then it is raining.

The contrapositive of a statement negates both the hypothesis and conclusion, and then switches them. Example: Original: If it is raining, then the ground is wet. Contrapositive: If the ground is not wet, then it is not raining.

The point where the three medians of a triangle intersect. It's also the triangle's center of gravity.

The total measure of all the interior angles of a polygon. It depends on the number of sides. Formula: (n - 2) * 180, where 'n' is the number of sides.

The shortest distance between two points is a straight line, but you might have to consider other constraints (like traveling along a specific path).

In a 30-60-90 triangle, the side lengths have specific ratios: the hypotenuse is twice the length of the shorter leg, and the longer leg is √3 times the length of the shorter leg.

A parallelogram has opposite sides parallel and equal, opposite angles equal, and consecutive angles supplementary. Diagonals bisect each other.

The sum of all three interior angles of any triangle always equals 180 degrees.

The point where the angle bisectors of a triangle intersect. It's the center of the triangle's inscribed circle.

The point where the altitudes of a triangle intersect. An altitude is a perpendicular line from a vertex to the opposite side.

A statement formed by switching the hypothesis and conclusion of the original conditional statement.

A statement formed by negating both the hypothesis and conclusion of the original conditional statement, and then switching them.

A kite has two pairs of adjacent congruent sides, its diagonals are perpendicular, and one diagonal bisects the other diagonal.

The sides of the quadrilateral formed by connecting the midpoints of a triangle are half the length of the diagonals.

The complement of the supplement of an obtuse angle is the original obtuse angle.

The supplement of an angle is the angle that, when added to the original angle, results in a sum of 180 degrees.

The complement of an angle is the angle that, when added to the original angle, results in a sum of 90 degrees.

The hypotenuse is the longest side of a right triangle. It is always opposite the right angle.

A 45-45-90 triangle is a right triangle with two equal angles of 45 degrees each. The side lengths have a specific ratio: the hypotenuse is √2 times the length of each leg.

Two lines intersect if they share a common point.

The perimeter of a polygon is the total length of all its sides.

An isosceles triangle has two sides of equal length. These two sides create two equal base angles.

A square is a quadrilateral with four equal sides and four right angles.