Line segment - practice problems - page 6 of 9

Number of problems found: 180

Midpoint 5
FM=3x-4, MG=5x-26, FG=? Point M is the midpoint of FG. Use the given information to find the unknown measure or value.
Find midpoint
FM=5y+13, MG=5-3y, FG=? M is the midpoint of FG. Use the given information to find the missing measure or value.
Lake 2
Three brothers were at a cottage on the shore of a circular lake. Every morning Andrej ran around the lake. Simultaneously with him, Braňo jumped into the water in front of the cottage and swam so that he was always midway between the running Andrej and t
Diagonals at right angle
In the trapezoid ABCD, this is given: AB=12 cm CD=4 cm And diagonals crossed under a right angle. What is the area of this trapezoid ABCD?
Rectangle Garden Area Diagonals
The length of the sides of the rectangular garden is 4:3. The line segment connecting the midpoints of adjacent sides is 20 m long. Calculate the area of the garden.
Vertices of a right triangle
Show that the points D(2,1), E(4,0), and F(5,7) are vertices of a right triangle.
Triangle Geometry Proof
On side AB of triangle ABC, points D and E are given such that |AD| = |DE| = |EB|. Points A and B are the midpoints of segments CF and CG. Line CD intersects line FB at point I, and line CE intersects line AG at point J. Prove that the intersection of lin
Midpoint 4
If the midpoint of a segment is (6,3) and the other endpoint is (8,-4), what is the coordinate of the other end?
Coordinates of midpoint
If the midpoint of the segment is (6,3) and the other end is (8,4), what is the coordinate of the other end?
Three points
Three points: A (-3;-5), B (9;-10), and C (2;k). AB=AC What is the value of k?
Center of line segment
Calculate the distance of point X [1,3] from the center of the line segment x = 2-6t, y = 1-4t; t is from interval <0,1>.
MO Z8–I–6 2018
The KLMN trapezium, KL has a 40 cm base and an MN of 16 cm. Point P lies on the KL line so that the NP segment divides the trapezoid into two parts with the same area. Find the length of the KP line.
Number axis point
On the number axis, point P is the image of the number -2.54, and point Q is the image of the number 10.71. Find which number is the point R such that Q is the center of the line PR.
Rhombus construct
Construct parallelogram (rhombus) ABCD, | AB | = 4 cm alpha = 30° and | BD | = 5 cm.
Line division pieces
Divide the line MN (/ MN / = 9 cm) into 11 equal pieces
Right triangle from axes
A line segment has its ends on the coordinate axes and forms a triangle of area equal to 36 square units. The segment passes through the point ( 5,2). What is the slope of the line segment?
Midpoint of segment
Find the distance and midpoint between A(1,2) and B(5,5).
Circle construction
Draw the line KL = 55 mm. Draw a circle k with center K and a radius of 4 cm. Mark the points to belong to the circle and connect them with point L.
Dividing a Segment
Split section AB length 14cm in the ratio 5:6
Point distances
It is 16 km from point A to B. from point C to B, it is 20 km from point C to D, it is 19 km how many kilometers is it from point D to point A

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