Line segment - practice problems - page 4 of 9
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 179
- 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.
- Line segment
Line segment AB is 8 cm long. Divide it by a ratio of 2:3.
- Four-sevenths 34451
In how many parts do I have to divide the line whose endpoints are the images of the numbers 0 and 1 on the number axis so that they can be displayed: three-fifths, four-sevenths, five-eighths, and six-sixths
- Place vector
Place the vector AB if A (3, -1), B (5,3) in point C (1,3) so that AB = CO.
- Reduction 33021
Draw the line AB = 14 cm and divide it by the reduction angle in the ratio of 2:9.
- Construction 32971
There is any circle k that does not have a marked center. Use a suitable construction to find the center of the circle k. Try on two different circles.
- Proportion 32223
Compare line lengths by ratio and proportion. a) AB = 2 cm, | KL | = 8 cm (b) | EF | = 28 cm, | MN | = 21 cm
- Five circles
On the line segment CD = 6, there are five circles with one radius at regular intervals. Find the lengths of the lines AD, AF, AG, BD, and CE.
- Change the length
Change of line MN, MN = 4.7 cm in the ratio 5:3.
- Line intersect segment
Decide whether the line p : x + 2 y - 7 = 0 intersects the line segment given by points A[1, 1] and B[5, 3]
- 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?
- Construction of trapezoid
Construct a trapezoid if b = 4cm, c = 7cm, d = 4,5cm, v = 3 cm (Procedure, discussion, sketch, analysis, construction)
- Divide 27883
Divide the line AB 8 cm long in a ratio of 2:5
- Similarity coefficient
In the triangle TMA, the length of the sides is t = 5cm, m = 3.5cm, and a = 6.2cm. Another similar triangle has side lengths of 6.65 cm, 11.78 cm, and 9.5 cm. Determine the similarity coefficient of these triangles and assign similar sides to each other.
- Meneal's 26771
Show (using Meneal's theorem) that the center of gravity divides the line in a 1:2 ratio.
- Coordinates
Determine the coordinates of the vertices and the area of the parallelogram, the two sides of which lie on the lines 8x + 3y + 1 = 0, 2x + y-1 = 0, and the diagonal on the line 3x + 2y + 3 = 0
- Divide in ratio
Line segment AB is 12 cm long, divided in a ratio of 5:3. How long are the individual parts?
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