Line segment - practice problems - page 3 of 9
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 179
- Midpoint of line segment
Find the midpoint of the line segment joining the points (10,1) and (-8,-1). - The midpoint 2
Find the value of x if M is the midpoint of PQ, PQ=10x−7, and PM=14. - 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? - Polygon 3
Polygon ABCD is dilated, rotated, and translated to form polygon QWER. The endpoints A and B are at (0, -7) and (8, 8), and the endpoints QW are at (6, -6) and (2, 1.5). What is the scale factor of the dilation? - 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. - Parallelogram 72044
Assembly parallelogram ABCD: AB = 4.8cm, va = 3cm, BC = 4cm. Calculate the circuit. Make a sketch. - Divided 71124
We divided line AB into two parts in a ratio of 3:5. The longer part was 6 cm longer than the shorter part. How long was the whole line in cm?
- Trapezoid 70454
Construct a trapezoid ABCD (AB // CD): | AB | = 7cm | BC | = 3.5cm | CD | = 4cm The magnitude of the angle ABC = 60° - Specify 69484
How do you divide a 3m long rod in a ratio of 1:5? Specify the length of both parts in cm. - Lengths 69314 We must cut three steel bars with 24 dm, 3 m, and 160 cm lengths into equal lengths. Find their maximum length and number.
- Enlarge 66284
We will enlarge the line 8 cm long in the ratio of 7:4. How long in centimeters will the new line be? - Hypotenuse 65744
Construct a right triangle ABC with the hypotenuse AB: a) | AB | = 72 mm, | BC | = 51 mm b) | AB | = 58 mm, | AC | = 42 mm - Coordinates 65224
The line PQ is determined by points with coordinates P = [- 2; 4] and Q = [4; 0]. What are the coordinates of the center S of the line segment PQ? - Dividing rod
The 3m long rod should be divided into two parts so that one is 16cm longer than the other. Find the lengths of both parts. - Calculate 58953
Calculate the area of a circular line if the radius r = 80 cm and the central angle is α = 110 °.
- Trisection of a line segment
Divide the line segment AB into three equal parts. Instructions: Construct an equilateral triangle ABC and find its center (e.g., the described circles). - Points OPQ
Point P is on line segment OQ. Given OP = 6, OQ = 4x - 3, and PQ = 3x, find the numerical length of OQ. - The coordinates
The coordinates (5, 2) and (-6, 2) are vertices of a hexagon. Explain how to find the length of the segment formed by these endpoints. How long is the segment? - Construct 8
Construct an analytical geometry problem where it is asked to find the vertices of a triangle ABC: The vertices of this triangle are points A (1,7), B (-5,1) C (5, -11). The said problem should be used the concepts of distance from a point to a line, rati - A rope
Paul can cut a rope into equal lengths with no rope left over. The lengths can be 15cm, 18cm, or 25cm. What is the shortest possible length of the rope?
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