Geometry construction - practice problems - page 5 of 10
Number of problems found: 181
- Draw triangle
Construct an isosceles triangle ABC, if AB = 7cm, the size of the angle ABC is 47°, arms | AC | = | BC |. Measure the size of the BC side in mm. - Cube construction
A 2×2×2 cube will be constructed using four white and four black unit cube. How many different cubes can be constructed in this way? ( Two cubes are not different if one can be obtained by rotating the other. ) - Construct rhombus
Construct rhombus ABCD if given diagonal length | AC | = 8cm, inscribed circle radius r = 1.5cm - Parallels and one secant
There are two different parallel lines, a, b, and line c, that intersect the two parallel lines. Draw a circle that touches all lines at the same time.
- Construct 11511
Construct the diamond ABCD so that its diagonal BD is 8 cm and the distance of apex B from the line AD is 5 cm. Specify all options - Construct 10921
Construct the diamond ABCD so that its diagonal BD is 8 cm and the distance of apex B from the line AD is 5 cm. Specify all options - Calculate 9701
In the triangle, the side length AB = 6 cm, the height per side c = 5 cm, and the angle BCA = 35°. Calculate sides a b. - Belongs 8412
Given a circle k(O; 2.5 cm), a line p: /Op/=4 cm, a point T: T belongs to p and at the same time /OT/=4.5 cm. We must find all the circles that will touch the circle k and the line p at point T. - Relative 8009
Sketch the relative position of the circles k1 (S1, r1 = 5cm) and k2 (S2, r2 = 3cm) and k / S1S2 / = 0 cm and give its name.
- Block-shaped 7976
A block-shaped pool with a volume of 200m³ is to be built in the recreation area. Its length should be 4 times the width, while the price of 1 m² of the pool bottom is 2 times cheaper than 1 m² of the pool wall. What dimensions must the pool have to make - Circle 7794
Draw a circle k, r = 4cm, and divide it into two parts in a ratio of 1:5. - Rectangles 7346
Draw rectangles. Color them and calculate the circuits and areas. KLMN: KL = 5CM LM = 3CM rectangle OPQR OP = 4cm PQ = 3.5cm - Calculate 7344
Draw squares. Color them and calculate the perimeter and areas square ABCD a = 3cm square EFGH b = 4cm - Intersection 7247
On side AB of triangle ABC, points D and E are given such that |AD| = |DE| = |EB|. Points A and B are the midpoints of segments CF and CG. Line CD intersects line FB at point I, and line CE intersects line AG at point J. Prove that the intersection of lin
- Conditions 7186
Given an isosceles right triangle ABS with base AB. On a circle centered at point S and passing through points A and B, point C lies such that triangle ABC is isosceles. Determine how many points C satisfy the given conditions and construct all such point - Construct
Construct a triangle ABC inscribed circle with a radius r = 2 cm and an angle alpha = 50 degrees = 8 cm. Make a sketch, analysis, construction, and description. - Boat in the lake
A boatman walks along the ship's deck at a constant speed of 5 km/h in a direction that forms an angle of 60° with the direction of the ship's speed. The boat moves with respect to the lake's calm surface at a constant speed of 10 km/h. Determine graphica - Rhombus construct
Construct parallelogram (rhombus) ABCD, | AB | = 4 cm alpha = 30° and | BD | = 5 cm. - Pieces 6890 Divide the line MN (/ MN / = 9cm) into 11 equal pieces
A circle k (S; 2.5 cm) and a point L are given if | SL | = 4cm. Make a tangent to the circle passing through point L.Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
