Planimetrics + geometry construction - practice problems - page 7 of 8
Number of problems found: 146
- Square ABCD
Construct a square ABCD with center S [3,2] and the side a = 4 cm. Point A lies on the x-axis. Construct a square image in the displacement given by oriented segment SS'; S` [-1 - 4]. - Parallelogram 80761
Construct a parallelogram ABCD if a=5 cm, height to side a is 5 cm, and angle ASB = 120 degrees. S is the intersection of the diagonals. - Circumscribing 80498
Given is an acute-angled triangle ABC. On the half lines opposite to BA and CA lie successively the points D and E such that |BD| = |AC| and |CE| = |AB|. Prove that the center of the circle circumscribing triangle ADE lies on the circle circumscribing tri - Construct 61253
Using Euclid's theorem, construct a line of length √15.
- Triangle SSA
Construct a triangle ABC if |AB| = 5cm va = 3cm, CAB = 50 °. It is to create the analysis and construction steps. - Construction 83208
An isosceles triangle ABY with a base AB of length 5 cm and an angle at the main vertex of 50°. Write down the construction progress. - Hypotenuse 78844
Construct triangle KLM if side m=6.5cm, hypotenuse tm=4cm, height to side m: vm=3.2cm - 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 circumference of 12 cm. - Hypotenuse 4221
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).
- Draw SSA triangle
Draw a triangle ABC if you know: alpha = 60° side b = 4 cm side a = 10 cm - Triangles
Ivo wants to draw all the triangles whose two sides of which 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? - Construction 55311
Construct a KLM triangle where side k is 6.7 cm, the line to the k side is 4.1 cm, and the LKM angle is 63 degrees. Write the construction procedure. - Construct 13581
The vertices of the triangle ABC lie on the circle k. The circle k is divided into three parts in a ratio of 1:2:3. Construct this triangle. - 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
- Construct 1
Construct a triangle ABC, a = 7 cm, b = 9 cm with a right angle at C, and construct the axis of all three sides. Measure the length of side c (and write). - (perimeter) 61854
Construct triangle ABC when we know a + b + c (perimeter), height to side c, and angle gamma. - Hypotenuse 65744
Construct a right triangle ABC with the hypotenuse AB: a) | AB | = 72 mm, | BC | = 51 mm b) | AB | = 58 mm, | AC | = 42 mm - Circle 7794
Draw a circle k, r = 4cm, and divide it into two parts in a ratio of 1: 5. - Divide an isosceles triangle
How to divide an isosceles triangle into two parts with equal areas perpendicular to the axis of symmetry (into a trapezoid and a triangle)?
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