Quiz About Formative Assessment 2.1-2.3

In geometry, a point is a location with no size or dimension, a line is a straight path that extends infinitely in both directions, and a plane is a flat surface that extends infinitely in all directions. These three terms, point, line, and plane, are considered undefined because they are fundamental concepts that cannot be defined in terms of simpler ideas.

Since ray BD is the angle bisector of angle ABC and ray BE is the angle bisector of angle ABD, we can conclude that angle EBD is equal to angle DBC, which is given as 24 degrees. Therefore, the measure of angle EBC can be found by subtracting 24 degrees from 180 degrees (since the sum of angles in a triangle is 180 degrees). This gives us 180 - 24 = 156 degrees. However, since we are asked for the measure of angle EBC specifically, the answer is 156 / 2 = 78 degrees.

A line segment consists of two points and all of the points between them that lie on the line containing the two points. It is a finite portion of a line and has a definite length. The terms "line segment" and "segment" are used interchangeably to refer to this concept.

The common endpoint of the two rays that form an angle is called the vertex. The vertex is the point where the two rays meet and is often represented by a dot or a small cross. It is an important component of an angle as it helps define the measurement and direction of the angle. The other options, side, edge, and apex, do not accurately describe the common endpoint of the two rays.

The converse of the statement "If tomorrow is Friday, then yesterday was Wednesday" is "If yesterday was Wednesday, then tomorrow is Friday." In this case, the converse is also true because if yesterday was Wednesday, then the next day would be Thursday, and the day after that would be Friday. Therefore, the converse of the statement is true.