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Angles that form a line
Add up to 180° (linear pair).
Vertical angles
Are congruent.
Bisect
To split something into two equal parts (angle or segment).
Perpendicular lines
Lines that form right angles (90°).
Regular polygon
A polygon with all equal sides and all equal angles.
Diagonal
A segment connecting two nonconsecutive vertices of a polygon.
Diagonals of a square / rhombus / kite
They are perpendicular to each other.
Sum of interior angles of a triangle
180°
Sum of interior angles of any polygon
180(n − 2) degrees, where n = number of sides.
Sum of exterior angles of any polygon
Always 360°.
Similar figures
Corresponding angles are congruent and corresponding sides are proportional.
Congruent figures
All corresponding parts are congruent.
Equilateral triangle
Has 3 congruent sides and 3 congruent angles (60° each).
Isosceles triangle
Has at least 2 congruent sides and at least 2 congruent angles.
Scalene triangle
Has no congruent sides and no congruent angles.
Opposite angles of a parallelogram
They are congruent.
Consecutive angles of a parallelogram
They are supplementary (add to 180°).
Degree ↔ Radian conversion
180° = π radians.