Line segment - practice problems - page 4 of 9
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 174
- 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 29601
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?
- Circumference 26361
The ABCD diamond has a circumference of 72 cm. The longer diagonal of the animal with the line segment AB angle is 30 °. Calculate the area of the ABCD diamond.
- My father
My father cut 78 slats on the fence. The shortest of them was 97 cm long, and the longer one was 102 cm long. What was the total length of the slats in cm?
- Coordinates hexagon
The regular hexagon ABCDEF is given. Point A has coordinates [1; 3], and point D has coordinates [4; 7]. Calculate the sum of the coordinates of the center of its described circle.
- 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?
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