Geometry and Measures

What is a point in geometry?

A point represents a location in space and has no size or dimension.

Define a line in geometry.

A line is a straight one-dimensional figure that has no endpoints and extends infinitely in both directions.

What is a line segment?

A line segment is a portion of a line that has two endpoints.

What are parallel lines?

Parallel lines are lines in a plane that never intersect and are equidistant from each other.

Define perpendicular lines.

Perpendicular lines are lines that intersect at a right angle (90 degrees).

What is an angle?

An angle is formed by two rays with a common endpoint called the vertex.

What are complementary angles?

Complementary angles are two angles whose measures add up to 90 degrees.

Define supplementary angles.

Supplementary angles are two angles whose measures add up to 180 degrees.

What is a triangle?

A triangle is a polygon with three edges and three vertices.

Name the different types of triangles by sides.

Scalene, isosceles, and equilateral.

Name the different types of triangles by angles.

Acute, right, and obtuse triangles.

What is the Pythagorean theorem?

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

What is a quadrilateral?

A quadrilateral is a polygon with four edges and four vertices.

List the types of quadrilaterals.

Square, rectangle, rhombus, parallelogram, trapezoid.

What is a circle?

A circle is a round shape where all points are equidistant from a fixed center point.

Define the radius of a circle.

The radius is the distance from the center of the circle to any point on its circumference.

What does diameter mean?

The diameter is the distance across the circle through the center, equal to twice the radius.

What is the circumference of a circle?

The circumference is the total distance around the circle.

What is area in relation to geometry?

Area is the measure of the space inside a two-dimensional shape.

What is the formula for the area of a rectangle?

Area = length × width.

How do you calculate the area of a triangle?

Area = 1/2 × base × height.

Define a polygon.

A polygon is a closed figure with three or more straight sides.

What is a regular polygon?

A regular polygon has all sides and angles equal.

Define an irregular polygon.

An irregular polygon has sides and angles that are not all equal.

What is a volume in geometry?

Volume is the amount of space occupied by a 3-dimensional object.

How do you find the volume of a rectangular prism?

Volume = length × width × height.

Define an acute angle.

An acute angle is an angle that measures less than 90 degrees.

What is a right angle?

A right angle is an angle that measures exactly 90 degrees.

Define an obtuse angle.

An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees.

What is a reflex angle?

A reflex angle is an angle that measures more than 180 degrees but less than 360 degrees.

What is a trapezoid?

A trapezoid is a quadrilateral that has at least one pair of parallel sides.

What does congruent mean in geometry?

Congruent refers to figures that have the same shape and size.

What is the difference between similarity and congruence?

Similar figures have the same shape but not necessarily the same size, while congruent figures are the same shape and size.

Define a transversal in geometry.

A transversal is a line that intersects two or more lines at distinct points.

What are interior angles?

Interior angles are the angles formed on the inside of two parallel lines cut by a transversal.

What does area of a circle equal?

Area = π × radius².

How do you find the perimeter of a rectangle?

Perimeter = 2 × (length + width).

What is a solid figure?

A solid figure is a three-dimensional shape that occupies space.

What is a net in geometry?

A net is a two-dimensional diagram that can be folded to form a three-dimensional figure.