Line segment - examples

  1. Three points 2
    vectors_sum0 The three points A(3, 8), B(6, 2) and C(10, 2). The point D is such that the line DA is perpendicular to AB and DC is parallel to AB. Calculate the coordinates of D.
  2. Line segment
    lines_7 The 4 cm long line segment is enlarged in the ratio of 5/2. How many centimeters will measure the new line segment?
  3. Trapezoid - intersection of diagonals
    intersect_trapezoid_diagonals In the ABCD trapezoid is AB = 8 cm long, trapezium height 6 cm, and distance of diagonals intersection from AB is 4 cm. Calculate trapezoid area.
  4. Distance
    distance Calculate distance between two points P[11; 10] and V[2; 11].
  5. Perpendicular
    slopeplane What is the slope of the perpendicular bisector of line segment AB if A[-9,-8] and B[-8,0]?
  6. Segments
    segments Line segments 90 cm and 5.1 dm long we divide into equal parts which lengths in centimeters is expressed integer. How many ways can we divide?
  7. Trapezoid MO-5-Z8
    lichobeznik_mo_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
  8. Segments
    abs Which of the pairs of numbers on the number line encloses the longest segment: ?
  9. Cone
    cones_1 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?
  10. Line
    negative_slope 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.
  11. Center
    center_triangle 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].
  12. Segment
    segment_AB Calculate the length of the segment AB, if the coordinates of the end vertices are A[-2, -4] and B[-5, -1].
  13. Rectangular trapezoid
    rt_licho The rectangular trapezoid ABCD is: /AB/ = /BC/ = /AC/. The length of the median is 6 cm. Calculate the circumference and area of a trapezoid.
  14. Map 2
    world_map_atlas At what scale is made map if the distance 6.8 km corresponds on the map segment 4 cm long?
  15. Slope
    lines.JPG Calculate the slope of a line that intersects points (38,-23) and (-93,5).
  16. Midpoint of segment
    midpoint-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?
  17. Medians in triangle
    stredne_pricky Median of isosceles triangle has a length 3 cm. Determine the length of its sides if its perimeter is 16 cm.
  18. Three points
    fun2 Mark three points E, F and G in the plane not lie on one line. a) Draw a line segment FG b) Construct halfline (ray) EG c) Draw a line EF
  19. Line segment
    line-segment.JPG For the line segment whose endpoints are L[-20, -12] and M[16, -20], find the x and y value for the point located 2 over 6 the distance from L to M.
  20. Right angled triangle 2
    vertex_triangle_right LMN is a right angled triangle with vertices at L(1,3), M(3,5) and N(6,n). Given angle LMN is 90° find n

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