# Line segment - examples

- Three points 2

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. - Line segment

The 4 cm long line segment is enlarged in the ratio of 5/2. How many centimeters will measure the new line segment? - Trapezoid - intersection of 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. - Distance

Calculate distance between two points P[11; 10] and V[2; 11]. - Perpendicular

What is the slope of the perpendicular bisector of line segment AB if A[-9,-8] and B[-8,0]? - 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? - 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 cm^{2.}Determine the area of the trapezoid A - Segments

Which of the pairs of numbers on the number line encloses the longest segment: ? - Cone

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? - Line

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. - Center

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]. - Segment

Calculate the length of the segment AB, if the coordinates of the end vertices are A[-2, -4] and B[-5, -1]. - 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. - Map 2

At what scale is made map if the distance 6.8 km corresponds on the map segment 4 cm long? - Slope

Calculate the slope of a line that intersects points (38,-23) and (-93,5). - 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? - Medians in triangle

Median of isosceles triangle has a length 3 cm. Determine the length of its sides if its perimeter is 16 cm. - Three points

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 - Line segment

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. - Right angled triangle 2

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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