Geometry Construction Flashcardziz

Front

What is the construction method for inscribing an equilateral triangle in a circle?

Back

Mostly the same as the inscribed hexagon construction, except you connect every other mark on the circle.

Front

What is the alternative method for inscribing an equilateral triangle in a circle?

Back

Using the perpendicular bisector construction on a diameter of the circle.

Front

What does it mean to inscribe a shape in a circle?

Back

To draw a shape inside a circle such that all vertices of the shape touch the circle.

Front

What is the construction for inscribing a regular hexagon in a circle?

Back

Divide the circle into six equal parts and connect the points.

Front

How do you construct a perpendicular bisector?

Back

By finding the midpoint of a line segment and drawing a line perpendicular to it.

Front

What is the relationship between inscribed and circumscribed shapes?

Back

An inscribed shape fits inside a circle, while a circumscribed shape surrounds a circle.

Front

What is the formula for the interior angle of a regular polygon?

Back

(n-2) * 180° / n, where n is the number of sides.

Front

How do you determine the center of a circle?

Back

By drawing two chords and finding their intersection point.

Front

What is the significance of the circumcircle of a polygon?

Back

It is the circle that passes through all vertices of the polygon.

Front

What is the method for constructing a regular pentagon?

Back

Inscribe a circle, divide it into five equal arcs, and connect the points.