Question

Match the term to its correct meaning.

1) altitude - distance of a line drawn perpendicular from the base to the intersection of the two other sides
2) base - any side of the triangle
3) rectangle - a plane geometric figure bounded by three sides and enclosed by three angles
4) square - a special case of a rectangle whose four sides are all equal lengths
5) trapezoid - a plane geometric figure bounded by four sides with four right angles
6) triangle - a four-sided geometric figure with two opposite sides parallel and two opposite sides not parallel
7) 7. circle - a plane figure bounded by a line formed by the path of a point that moves so that the sum of its distances from two fixed points remains the same
8) 8. ellipse - a plane figure bounded by a line, every point of which is equally distant from a point within called the center

Answer 1

The question involved matching geometric terms with their definitions. Some of the definitions were mismatched and have been correctly paired with their respective terms. Understanding these terms is important for grasping fundamental concepts in geometry.

Step-by-step explanation:

The student's question requires correction and alignment of each term with its proper definition within geometry. Let's organize them correctly:

1. Altitude - The perpendicular distance from the base of a geometric figure (typically a triangle) to the opposite vertex or side.
2. Base - In the context of a triangle, it can indeed be any side of the triangle to which an altitude is drawn.
3. Rectangle - This is a plane geometric figure with four right angles and opposite sides that are equal.
4. Square - A special case of a rectangle where all four sides are of equal length and all angles are right angles.
5. Trapezoid (North American definition) - A four-sided geometric figure with at least one pair of parallel sides. The definition provided incorrectly describes a rectangle.
6. Triangle - A three-sided geometric figure lying on a plane, where the sum of the interior angles adds up to 180 degrees.
7. Circle - A plane figure bounded by a line (circumference) at all points equidistant from a single point (the center).
8. Ellipse - A plane figure bounded by a line such that the sum of the distances from two fixed points (foci) is constant for any point on the line.

It's essential to recognize the distinct properties of these fundamental geometric shapes to understand their applications in geometry and trigonometry.