# Geometry construction - practice problems

Direction: Solve each problem carefully and show your solution in each item.#### Number of problems found: 177

- Hypotenuse 82370

A line segment AA1 of length 6 cm is given. Construct all triangles ABC for which AA1 is the hypotenuse, side length BC is 5 cm, and angle gamma is 60°. - RST triangle

Find out if it is possible to construct the given triangle and according to which theorem: RS = 2.5 cm ST = 7 cm TR = 4.5 cm - Construction: 81894

Construct a rhombus that has a side length of 5 cm and a height of 4.5 cm. Outline: Analysis: Construction: Method: - Prove 2

Prove that the minimum number of straight single cuts/strokes needs to divide a given right-angled triangle or an obtuse-angled triangle into a collection of all acute-angled triangles is seven(7). - 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. - Construct 80719

Construct a rectangle ABCD if a = 8cm and the length of the diagonal AC is 13cm. Measure the length of the sides of the rectangle. - Sss triangle 2

Construct triangle ABC in which |AB|=5cm, |AC|=6cm and |BC|=9cm - 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 - Square 80371

Draw a square EFIJ if EI is equal to 7cm. - Percentage 80164

I was given a square ABCD 4.2 cm. Find the set of all points that have a distance less than or equal to 2 cm from one of its vertices and lie inside this square. Indicate how much of the square this area occupies as a percentage. - Hypotenuse 78844

Construct triangle KLM if side m=6.5cm, hypotenuse tm=4cm, height to side m: vm=3.2cm - Triangle 73464

The given line is a BC length of 6 cm. Construct a triangle so that the BAC angle is 50° and the height to the side is 5.5 cm. Thank you very much. - Parallelogram 72044

Assembly parallelogram ABCD: AB = 4.8cm, va = 3cm, BC = 4cm. Calculate the circuit. Make a sketch. - Quadrilateral 71394

Sketch a grid of a quadrilateral prism with a rectangle of 1 cm x 3 cm and a height of 5 cm. - Divides 70604

Draw a point x on the line, which divides it in the given ratio: a) 2:3 b) 1:5 c) 6:2 - Trapezoid 70454

Construct a trapezoid ABCD (AB // CD): | AB | = 7cm | BC | = 3.5cm | CD | = 4cm The magnitude of the angle ABC = 60° - Shortest walk

An ant is crawling around this cube. The cube is made of wire. Each side of the cube is 3 inches long. (Those sides are called edges.) Points A and B are vertices of the cube. What is the least distance the ant would have to crawl if it starts from point - Triangle 67504

Sestroj triangle HOP, if o = 6 cm, h = 8 cm and | PHO | = 90 ° - Symmetrical 67454

How many more squares in the grid in the picture need to be painted to make it centrally symmetrical? square - x x; o; o; x o; o; x; o x; o; o; o o; x; o; o This is a sketch of a grid where the colored squares are x. Thank you, Lucy - Quadrilateral 67384

Construct a quadrilateral ABCD if AB = 10cm, AD = 6cm, DC = 6.5cm and angle BCD = 90 degrees

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