Line segment - practice problems
A line segment is a part of a line bounded by two distinct endpoints, containing all points between them and having a definite measurable length. Unlike a line which extends infinitely, a line segment has a finite length calculated using the distance formula in coordinate geometry: d = √[(x₂-x₁)² + (y₂-y₁)²]. Line segments are denoted by their endpoints, such as AB with a bar over the letters. They are fundamental building blocks of polygons, where sides are line segments connecting vertices. Midpoints divide line segments into two equal parts. Understanding line segments is essential for geometry, including concepts of congruence, bisectors, and geometric constructions.Direction: Solve each problem carefully and show your solution in each item.
Number of problems found: 178
- Triangles - segments
How many triangles can be formed with segments measuring one and 2/3 mm one 3/4 mm and 2 1/2 mm - Angle and slope
Find the angle between the x-axis and the line joining the points (3, -1) and (4,-2) . - Two points
M and N are two points on the X-axis and Y-axis, respectively. Point P (3, 2) divides the line segment MN in a ratio of 2:3. Find: (i) the coordinates of M and N (ii) slope of the line MN. - Freezing A certain freezing process requires that room temperature be lowered from 40°C at the rate of 5°C per hour.What will be the room temperature 12 hours after the process begins?
- LS and y-axis intersection In what ratio is the line segment joining P (5, 3) and Q (–5, 3) divided by the y-axis? Also, find the coordinates of the intersection point.
- The co-ordinates
The co-ordinates of the point P dividing the line segment joining the points A (1,3) and B (4,6) internally in the ratio 2:1 are - Midpoint 11 Consider the following line segment - start point A=(-4,1), endpoint B=(4,-1). Find the midpoint. Please show your work.
- PQR - Euclid
Find the length of line segment PR - leg of the right triangle PQR. PQ=17 cm PS=15 cm QS=8 cm; Point S is the height touch point with a hypotenuse of the RQ. - Four points
There are 4 nonlinear points. How many triangles can form by joining them? - Line segments
There are three line segments on the line: the length of MN = 3 1/2, the length of NO= 2 3/4, and the length of OP=1 2/3. Find the length of line segment MP. Write your answer as a mixed number. - Collinear lines Points A, B, and C are collinear, and B lies between A and C. If AC = 48, AB = 2x + 2, and BC = 3x + 6, what is BC?
- The endpoints
The endpoints of a segment are (-6,1) and (10,11). What are the coordinates of its midpoint? - There 35
There are three points on a straight line: A, BC. If CD = 8x, DE = 3, and CE = x + 10, what is CD? Simplify your answer and write it as a proper fraction, mixed number, or integer. - Line equation: Line equation: y-3=8/9(x-5) Solve for slope
- The volume 8
The volume of a right regular hexagonal prism is 187.2 cubic millimeters. The line segment that has a length of 2.6 millimeters begins at the center of the hexagon and ends at one side of the hexagon. 3 mm base. Find the height. - The slope 2
What is the slope of the line that passes through the points (-4, -7) and (-2,-19)? Write your answer in the simplest form. - A 100-inch
A 100-inch stick is to be divided into four using the ratio 2: 5: 7: 11. How long is the longest piece? - Line segment
Find the length of the line joining points A(-4,8) and B(-1,4). - Midpoint between conjugate
Find the midpoint between two roots: 2+3.464i and 2 - 3.464i - Slope of line What is the slope of the line that passes through the points: (-2, 4) and (-3, 1)?
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