Geometry construction - practice problems - page 6 of 10
Number of problems found: 189
- Triangle Geometry Proof
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 - Point construction
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 - Triangulum Student Ernest paints colorful lines and points. In his notebook, he had two drawings. In the drawing called Triangulum, there were 3 colored lines. The points where the lines intersected were highlighted with black dots. In the second drawing, he had 4 l
- Rhombus construct
Construct parallelogram (rhombus) ABCD, | AB | = 4 cm alpha = 30° and | BD | = 5 cm. - Line division pieces Divide the line MN (/ MN / = 9 cm) into 11 equal pieces
- Tangent Circle Construction Point
A circle k (S; 2.5 cm) and a point L are given if | SL | = 4 cm. Make a tangent to the circle passing through point L. - 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. - Axes of Symmetry
Draw a circle k (S, r = 2 cm). 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. - Drawing Similar Triangle
Isosceles triangle X'Y'Z' . It is similar to triangle XYZ. The base of triangle XYZ has length |XY|=4 cm. The size of the angle at the X vertex is 45 degrees. Draw a triangle X'Y'Z' whose base is 8 cm long. - Similar Triangle Construction
In triangle ABC, |AB| = 20 cm, |BC| = 10 cm, angle A = 30°. Construct triangle A′B′C′ similar to triangle ABC with a similarity ratio of 0.5. - Similar Triangle Construction
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 '= 9.9 cm - Circle construction
Draw the line KL = 55 mm. Draw a circle k with center K and a radius of 4 cm. Mark the points to belong to the circle and connect them with point L. - Triangle Line Two Points
Draw an arbitrary triangle ABC and a line o to have exactly 2 points in common with the triangle. - Trapezoid construction
Draw an isosceles trapezoid ABDC if a = 6 cm, v = 5 cm, 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 5 cm BAC 60° and ACB 45°.
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