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Interactive Tool

Geometry Playground

Construct, measure, and explore geometric shapes and theorems on an interactive canvas. Drag points to see everything update in real-time.

x: 0, y: 0

Pythagorean Theorem

In a right triangle, the square of the hypotenuse equals the sum of squares of the other two sides. Drag the vertices to see the relationship update live.

a² + b² = c²

Circle Theorems

The inscribed angle is half the central angle subtending the same arc. A tangent is perpendicular to the radius at the point of tangency. Drag points around the circle to explore.

Inscribed angle = ½ × Central angle

Triangle Centers

Every triangle has four classic centers: centroid (medians), circumcenter (perpendicular bisectors), incenter (angle bisectors), and orthocenter (altitudes). Toggle each to see them as you drag vertices.

Centroid divides each median 2 : 1

Parallel Lines & Transversal

When a transversal crosses two parallel lines it creates 8 angles. Alternate interior, alternate exterior, corresponding, and co-interior angle pairs have special relationships. Drag to see them change.

Corresponding angles are equal; co-interior angles sum to 180°

Exterior Angle Theorem

An exterior angle of a triangle equals the sum of the two non-adjacent (remote) interior angles. Drag the vertices to verify.

Exterior = Remote Interior 1 + Remote Interior 2

Style

Options

Properties

Select a shape to see its properties.

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