Geometry construction - practice problems - page 7 of 10
Number of problems found: 189
- Construct
Construct a rhombus ABCD if diagonal AC is 6 cm long and diagonal BD is 8 cm long. - Constructing a Square
Construct a square if u-a = 1 - Cube Cut Surface Increase
We cut the cube with two mutually perpendicular cuts, each parallel to one of the cube's walls. By what percentage is the sum of the surfaces of all cuboids created in this way greater than the surface of the original cube? - Trapezoid construction
Construct an isosceles trapezoid, whose base is 6 cm long, the base forms an angle of 30 ° with the diagonal, and the arms are 4 cm long. - Line construction
Draw line AB if you know one of its extreme points and the center of line S. - Rhombus construction
Construct a rhombus ABCD if AB = 5 cm, BD = 6 cm and AC = 3 cm - Rhombus construction
Construct ABCD rhombus if its diagonal AC=9 cm and side AB = 6 cm. Inscribe a circle in it, touching all sides. - Pyramid intersection
Given a regular quadrilateral pyramid ABCDV, point M is inside its edge AV, and point N is on the long line DC beyond point C. Construct the intersection of the plane MNV with the plane BCV and the intersection of the line MN and the plane BCV. - Intersect of 10 lines
At how many points do ten lines intersect if no two are parallel? - Rhombus MATH
Construct a rhombus M A T H with diagonal MT=4 cm, angle MAT=120° - Trapezoidal prism Calculate the surface of the quadrilateral prism ABCDA'B'C'D' with the trapezoidal base ABCD. The height of the prism is 12 cm; Trapezoid ABCD has the following dimensions: AB base length is 8 cm, CD base length is 3 cm, BC arm length is 4 cm, and AC diag
- Roof 7
The roof is a regular quadrilateral pyramid with a base edge of 12 m, and a height of 4 m. How many percent is folds and waste if in construction was consumed 181.4 m² of the plate was? - Basement 3
A new family house under construction is to have a basement. The floor, walls, and ceiling of the basement are to be covered with an asphalt insulating layer. The ground plan of the family house has dimensions of 10 m and 12 m. The height of the basement, - Triangle construction
Try to construct the MNP triangle. p = 6 cm, n = 5 cm, Vp = 4 cm Answer the measured side length m - Rhombus EFGH
Construct the rhombus EFGH where e = 6.7 cm, height to side h: vh = 5 cm - Circle construction
Construct the circles k1 (S1;r1) and k2(S2;r2), if S1 S2 = 7 cm, d1= 12 cm and r2 = 1/2 r1. Mark the point: a) A lying on circle k1, b) B lying in both circles determined by circles k1 and k2, c) C lying simultaneously on both circles, d) D, for which: (S - Trapezoid proof
Trapezoid ABCD with bases AB = a, CD = c has height v. The point S is the center of the arm BC. Prove that the area of the ASD triangle is equal to half the area of the ABCD trapezoid. - Sides of the triangle
The sides of the triangle ABC have a length of 4 cm, 5 cm, and 7 cm. Construct triangle A'B'C', similar to triangle ABC, which has a perimeter of 12 cm. - Triangle construction Construct a triangle ABC if you know the lengths of its sides c = 5 cm, a = 4 cm and angle ABC is 60°. Measure the length of side b in millimeters. Side length b is: a, 75 mm < b < 81 mm b, 53 mm < b < 59 mm c, 43 mm < b < 49 mm d, 13 mm
- Diagonals
Draw a square ABCD whose diagonals have a length of 6 cm.
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