Practice problems of the line segment - page 2 of 9
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 164
- Points on line segment
Points P and Q belong to segment AB. If AB=a, AP = 2PQ = 2QB, find the distance between point A and the midpoint of segment QB. - Half-planes 36831
The line p and the two inner points of one of the half-planes determined by the line p are given. Find point X on the line p so that the sum of its distances from points A and B is the smallest. - Length 20353
The given line is MN with a length of 11 cm. Change its length in the ratio: a) k = 2:1 b) k = 1:2 c) k = 17:11 d) k = 22:33 - Midpoint 5
FM=3x-4, MG=5x-26, FG=? Point M is the midpoint of FG. Use the given information to find the missing measure or value. - Line segment
Cut a line segment of 15 cm into two line segments so that their lengths are in a ratio of 2:1. What length will each have? - Divide line segment
Find the point P on line segment AB, such that |AP| = r |AB|. Coordinates of endpoints: A = (−2, 0, 1), B = (10, 8, 5), ratio r = 1/4. - Distance 4869
Two places have a distance of 4 cm on a map with a scale of 1:75 000. What is their distance on a 1:50,000 scale map? - Segments 80547
AB segment = 14 cm, divide it into two segments whose lengths are in the ratio 4:3. - Proportion 32223
Compare line lengths by ratio and proportion. a) AB = 2 cm, | KL | = 8 cm (b) | EF | = 28 cm, | MN | = 21 cm - Proportion 20443
On line AB, 15 cm long, point C lies 4 cm from point A. In what proportion does this point divide the line AB? - Divided 20373
The line AB, whose length is 24 cm, is divided in a ratio of 5:3. How much longer is its larger part? - Number 6911
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. - Midpoint of the line segment
Length of lines MG = 7x-15 and FG = 33 Point M is the midpoint of FG. Find the unknown x. - Divides 20343
The KL line is 12 cm long. Point X divides the line in a ratio of 1:5. What is the length of line XL if point X is closer to point K? - Calculate 82286
If I reduce a segment of length 72 cm in a ratio of 5:8, it will have a length of x cm. Calculate x. - Enlarge 66284
We will enlarge the line 8 cm long in the ratio of 7:4. How long in cm will the new line be? - Figure 2
Figure A maps to figure B with a scale factor of 0.75. The length of the line AB segment in figure A is 10. What is its length on the image in figure B? - Two ribbons
The total length of the two ribbons is 13 meters. If one ribbon is 7 and 5/8 meters long, what is the length of the other ribbon? - Divide in ratio
Line segment AB is 12 cm long divided in a ratio of 5:3. How long are the individual parts? - 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.
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