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CC - Angle Properties of Quadrilaterals

Interior Angles Sum

The most fundamental property of any quadrilateral is that the sum of its four interior angles is always exactly 360°. Drag the vertices of this quadrilateral along the circumscribed circle and check that the four angles always add up to 360 degrees:

Parallelogram:

  • Opposite angles are equal
  • Consecutive angles are supplementary (they add up to 180°)
Draw a parallelogram and measure its angles to verify this property.

Parallelogram

Rectangle and Square

All four interior angles are right angles (exactly 90° each). Draw a rectangle and measure its angles to verify this property.

Rectangle