Question

question 2
fill in the blank to answer the question.
the midpoint will ______ be the same distance from both endpoints of the line segment.
never
always
sometimes
not enough information to make a decision
question 3
finding the distance between two points on the coordinate plane is like doing what?
finding the area of a rectangle.
finding the perimeter of a polygon.
finding the hypotenuse of a right triangle.
finding the angle between two lines.

Explanation:

QUESTION 2

Step1: Recall mid - point definition

The mid - point of a line segment is defined as the point that divides the line segment into two equal parts. By this definition, it is always equidistant from the two endpoints of the line segment.

QUESTION 3

Step1: Consider distance formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) in the coordinate plane is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). If we consider the right - triangle formed by the two points and the horizontal and vertical displacements between them, the distance between the two points is the length of the hypotenuse of this right - triangle.

Answer:

QUESTION 2

B. Always

QUESTION 3

C. Finding the hypotenuse of a right triangle.