Geometry construction - practice problems - page 6 of 10
Number of problems found: 181
- Two chords
There is a given circle k (center S, radius r). From point A, which lies on circle k, are starting two chords of length r. What angle do chords make? Draw and measure.
- __________ 6734
Draw a circle k (S, r = 2cm). Mark the three axes of symmetry of the circle defined by this circle. Each axis of symmetry of the circle passes through __________.
- Intersections
Find the intersections of the function plot with coordinate axes: f (x): y = x + 3/5
- Two heights and a side
Construct triangle ABC when the given side is c = 7 cm, height to side a va = 5 cm, and height to side b: vb = 4 cm.
- Isosceles 6673
Isosceles triangle X'Y'Z' . It is similar to triangle XYZ. The base of triangle XYZ has length |XY|=4cm. The size of the angle at the X vertex is 45 degrees. Draw a triangle X'Y'Z' whose base is 8 cm long.
- Coefficient 6672
In the triangle ABC is [AB] = 20cm, [BC] = 10cm, A = 30 °. Construct a triangle A'B'C' similar to triangle ABC if the similarity coefficient is 0.5
- Following 6660
KLM triangle on sides k = 5.4 cm. L = 6 cm, m = 6.6 cm. Construct a triangle K 'L'M 'for which the following holds: ∆KLM ~ ∆K 'L'M' and m '= 9.9cm
- Connect 6500
Draw the line KL = 55mm. Draw a circle k with center K and a radius of 4cm. Mark the points to belong to the circle and connect them with point L.
- Arbitrary 6486
Draw an arbitrary triangle ABC and a line o to have exactly 2 points in common with the triangle.
- Construction 6411
Draw an isosceles trapezoid ABDC if a = 6cm, v = 5cm, beta = 60 degrees. / sketch, procedure, construction /
- Triangles
Ivo wants to draw all the triangles whose two sides have a length of 4 cm and 9 cm, and the length of the third side is expressed in whole centimeters. How many triangles does he have?
- Ruler and compass
Use a ruler and compass to construct a triangle ABC with AB 5cm BAC 60° and ACB 45°.
- Construct
Construct a rhombus ABCD if the size of the diagonal AC is 6 cm and the diagonal BD is 8 cm long.
- Construct 5868
Construct a square if u-a = 1
- Perpendicular 5865
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?
- Construct 5593
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.
- Extreme 5456
Draw line AB if you know one of its extreme points and the center of line S.
- Construct 5333
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.
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