Geometry Foundations

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What is the definition of a point in geometry?

A point is a location in space with no dimensions, represented by a dot.

Name four types of angles.

Acute, right, obtuse, and straight angles.

What is a polygon?

A closed, two-dimensional shape with straight sides.

What is the sum of the interior angles of a triangle?

180 degrees.

How do you calculate the area of a rectangle?

Multiply the length by the width (Area = length × width).

Define a perpendicular line.

A line intersecting another line at a 90-degree angle.

What is a diameter of a circle?

A line segment passing through the center of the circle, connecting two points on the circumference.

Explain what congruent figures are.

Figures that have the same shape and size.

What is a radius?

A line segment from the center of a circle to any point on its circumference.

How is the circumference of a circle calculated?

Circumference = 2πr, where r is the radius.

What is an isosceles triangle?

A triangle with at least two sides of equal length.

Define a parallel line.

Lines in a plane that never meet and are equidistant from each other.

What is a scalene triangle?

A triangle with all sides of different lengths.

How many sides does a hexagon have?

A hexagon has six sides.

What is the Pythagorean theorem?

In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides (a² + b² = c²).