Line segment - practice problems - page 3 of 9
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 174
- 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?
- Solutions 45511
Two parallel chords in a circle with a radius of 6 cm have lengths of 6 cm and 10 cm. Calculate their distance from each other. Find both solutions.
- Parametric equation
Point A [6; -2]. Point B = [-3; 1] Write the parametric equation of the line BA so that t belongs to the closed interval < 0;3 >
- 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.
- The midpoint
The midpoint of (2, 5) and (8, y) is (5, -1). Find the line equation in slope-intercept form.
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