1. Define Line, Line segment and Ray. 2. Define Complementary Angles.
3. Define Supplementary Angles.
4. Define Adjacent Angles.
5. Define Linear Pair

Line :-

A line is defined as a line of points that extends infinitely in two directions. It has one dimension, length. Points that are on the same line are called collinear points.

Line segments :-

A straight line which links two points without extending beyond them. The points P and Q are called the 'endpoints' of the segment. ... The word 'segment' typically means 'a piece' of something, and here it means the piece of a full line, which would normally extend to infinity in both directions.

Ray :-

A part of a line with a start point but no end point (it goes to infinity) Try moving points "A" and "B": line.

Complementary Angles :-

Two Angles are Complementary when they add up to 90 degrees (a Right Angle). They don't have to be next to each other, just so long as the total is 90 degrees. Examples: ... 5° and 85° are complementary angles.

Supplementary Angles:-

Two Angles are Supplementary when they add up to 180 degrees. They don't have to be next to each other, just so long as the total is 180 degrees. Examples: • 60° and 120° are supplementary angles.

Adjacent Angles :-

Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap. Angle ABC is adjacent to angle CBD. Because: they have a common side (line CB).

Linear Pair :-

A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

Transversal lines :-

In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points. Transversals play a role in establishing whether two other lines in the Euclidean plane are parallel.

Corresponding angles :-

Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.

Step-by-step explanation:

A line is a straight path of points that has no beginning or end

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

A ray is a portion of a line which has one endpoint and extends forever in one direction

Complementary angles are two angles whose sum adds up to 90 degrees

Supplementary angles are two angles that add up to 360 degrees

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

answer:

c) the x-coordinate of the center of the circle increases by 3