Line segment - practice problems - last page

Number of problems found: 178

Triangle midpoints
Determine coordinates of triangle ABC vertices if we know triangle sides midpoints SAB [0;3] SBC [1;6] SAC [4;5], its sides AB, BC, AC.
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
Square ABCD
Construct a square ABCD with center S [3,2] and the side a = 4 cm. Point A lies on the x-axis. Construct a square image in the displacement given by oriented segment SS'; S` [-1 - 4].
Line
Straight-line passing through points A [-3; 22] and B [33; -2]. Determine the total number of points of the line in which both coordinates are positive integers.
Map 2
At what scale is a map made if the distance 1.3 km corresponds to the map segment 4 cm long?
Segments
We divide line segments 59 cm and 5.3 dm long into equal parts, the lengths of which are expressed as integers in centimeters. How many ways can we divide?
Midpoint of segment
Point A has coordinates [4; -11], and the midpoint of segment AB is the point [17; -7]. What are the coordinates of point B?
Slope form
Find the equation of a line given the point A(7, 2) and slope -1.9. Arrange your answer in the form y = ax + b, where a and b are the constants.
Line segment
For the line segment whose endpoints are L[-15, -3] and M[-10, 13], find the x and y values for the point located 1 over 3, the distance from L to M.
Slope
Calculate the slope of a line that intersects points (77,-35) and (11,44).
Segment
Calculate the segment AB's length if the coordinates of the end vertices are A[0, -2] and B[-4, 9].
Perpendicular
What is the slope of the perpendicular bisector of line segment AB if A[-1,-4] and B[-6,-7]?
Segments
Which of the pairs of numbers on the number line encloses the longest segment: ...
Cone
If the segment of the line y = -2x +3 that lies in the first quadrant is rotated about the y-axis, a cone is formed. What is the volume of the cone?
Distance
Calculate the distance between two points K[6; -9] and G[5; -1].
Center
In the ABC triangle is point D[1,-2,6], which is the center of the |BC|, and point G[8,1,-3], which is the center of gravity of the triangle. Find the coordinates of the vertex A[x,y,z].
The Line segment
Can we construct a line segment if we know: end point and one point inside line
Circle
The circle k with diameter |MN| = 85. Point J lies on the circle k. Line |NJ|=12. Calculate the length of a segment JM.

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