Geometry construction - practice problems - page 8 of 10
Number of problems found: 189
- Graphic solution
Solve the system by the graphical method: x + y = 8 2x-y = 1 - Triangle construction
I have to construct a triangle - procedure and solution side a = 7 cm angle β = 40 median to side c: tc = 5 cm - Line distance
There are two points, K and L, KL = 4 cm. Draw a line p passing through point K and having a distance of 4 cm from point L. - Octagonal pyramid
Draw an octagonal pyramid in free parallel projection if the length of the edge a = 3 cm and the height of the pyramid v = 6 cm. - Isosceles - isosceles
It is given a triangle ABC with sides /AB/ = 3 cm /BC/ = 10 cm, and the angle ABC = 120°. Draw all points X such that the BCX triangle is an isosceles and triangle ABX is an isosceles with the base AB. - Target hits
Draw a target with the given radii. Mark Mirek's interventions and Pepi Mirek's interventions 4,0,3,5,3 Pepa had 14 hits for three shots. - Resultant force
Calculate mathematically and graphically the resultant of three forces with a common center if: F1 = 50 kN α1 = 30° F2 = 40 kN α2 = 45° F3 = 40 kN α3 = 25° - Center of gravity
Find the set of points formed by the center of gravity of right triangles with the same hypotenuse (build several possible triangles into one image). - Point distance
Draw the line segment AB, AB = 5 cm. Draw a set of points 2 cm away from line AB. What shape does this set of points form? - Z9–I–1
All nine fields of given shape are to be filled with natural numbers so that: • each of the numbers 2, 4, 6, and 8 is used at least once, • four of the inner square boxes containing the products of the numbers of adjacent cells of the outer square, • in t - Mrak - cloud
It is given segment AB, which is 12 cm in length, on which one side of the square MRAK is laid. MRAK's side length is 2 cm shown. MRAK gradually flips along the line segment AB, and point R leaves a paper trail. Draw the whole track of point R until the s - Triangle construction
Construct a triangle ABC, given the lengths of the sides: c = 8 cm, a = 5 cm and height length hc = 3.5 cm. Perform an analysis, write down the design procedure, perform it, and determine the number of solutions. - Triangle ABC
Construct a triangle ABC is given c = 60 mm, hc = 40 mm and b = 48 mm analysis procedure steps construction - Cube diagonals
A cube has an edge length of 5 cm. Draw its different diagonals. - Triangle construction
Draw a circle k (S, r = 3 cm). Build a triangle ABC so that its vertices lie on the circle k and the length of the sides is (AB) = 2.5 cm (AC) = 4 cm - The projection
In axonometry, construct the projection of a perpendicular 4-sided pyramid with a square base ABCD in the plane. The base triangle gives the axonometry. We know the center of the base S, the point of the base A, and the height of the pyramid v. - Cone projection
In axonometry, construct a projection of an oblique circular cone with a base in a plane. The stop triangle gives dimension. We know the center of the base S, the radius of the base ra the top of the cone V, Triangle (6,7,6), S (2,0,4), V (-2,7,6), r = 3 - Circle tangent
A circle with centre S and radius 3.5 cm is given. The distance from centre S to line p is 6 cm. Construct a tangent to the circle that is perpendicular to line p. - Rhombus construction
ABCD rhombus construction entered: a + b = 9 cm; AC = 4.5 cm; height ha = 3.5 cm How long do sides a and b measure? - Quadrilateral construction
Construct a quadrilateral ABCD with dimensions AB, BC, AC, BD, and angle d = CDA.
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