Line segment - examples
- Sides od triangle
Sides of the triangle ABC has length 4 cm, 5 cm and 7 cm. Construct triangle A'B'C' that are similar to triangle ABC which has a circumference of 12 cm.
Which of the pairs of numbers on the number line encloses the longest segment: ?
Can we construct a line segment, if we know: center and one end point
- Trapezoid MO-5-Z8
ABCD is a trapezoid that lime segment CE divided into a triangle and parallelogram as shown. Point F is the midpoint of CE, DF line passes through the center of the segment BE and the area of the triangle CDE is 3 cm2. Determine the area of the trapezoid A
- Map 2
At what scale is made map if the distance 6.8 km corresponds on the map segment 4 cm long?
Line segments 52 cm and 7.6 dm long we divide into equal parts which lengths in centimeters is expressed integer. How many ways can we divide?
Calculate the length of the segment AB, if the coordinates of the end vertices are A[-2, -4] and B[-5, -1].
- Midpoint of segment
Point A has coordinates [15; 1] and the midpoint of the segment AB is the point [-20; 13]. What are the coordinates of point B?
Calculate distance between two points Z[7; -9] and U[-10; -8].
Straight line passing through points A [-3; 22] and B [33; -2]. Determine the total number of points of the line which both coordinates are positive integers.
Calculate the slope of a line that intersects points (38,-23) and (-93,5).
What is the slope of the perpendicular bisector of line segment AB if A[-9,-8] and B[-8,0]?
In the triangle ABC is point D[-8,-9,9], which is the center of the |BC| and point G[5,9,5], which is the center of gravity of the triangle. Find the coordinates of the vertex A[x,y,z].
- 2d shape
Calculate the content of a shape in which an arbitrary point is not more than 3 cm from the segment AB. The length of the segment AB is 5 cm.
- Circle from string
Martin has a long 628 mm string . He makes circle from it. Calculate the radius of the circle.
- Slope form
Find the equation of a line given the point X(10, -2) and slope -1.2. Arrange your answer in the form y = ax + b, where a, b are the constants.
If the segment of the line y = -8x +4 that lies in quadrant I is rotated about the y-axis, a cone is formed. What is the volume of the cone?
- Rectangular trapezoid
The rectangular trapezoid ABCD is: /AB/ = /BC/ = /AC/. The length of the median is 6 cm. Calculate the circumference and area of a trapezoid.
- Medians in triangle
Median of isosceles triangle has a length 3 cm. Determine the length of its sides if its perimeter is 16 cm.
- Line segment
For the line segment whose endpoints are L[-12, 1] and M[-14, 11], find the x and y value for the point located 4 over 8 the distance from L to M.