Geometry construction - practice problems - page 9 of 10
Number of problems found: 189
- Rectangle construction
Build a rectangle of MNPO if: a) (MN) = 8 cm, (MP) = 10 cm b) (PQ) = 6 cm and angle PQM = 30 ° c) (NP) = 9 cm, (PM) 8 cm - Different points
Mark 4 different points O, P, R. S. Mark of line OP, OR, OS. Measure the marked lines. - Hexagon = 8 parts
Divide the regular hexagon into eight equal parts. - Trapezoid drawing
Draw a trapezoid with arms 4 cm and 7 cm long and with bases 3 cm and 5 cm long - Complete construction
Construct triangle ABC if hypotenuse c = 7 cm and angle ABC = 30 degrees. / Use Thales' theorem - circle /. Measure and write down the length of the legs. - Tangents construct
The circle k is given k (S; 2.5 cm) and an outer line p. Construct a tangent t of the circle that has a line p angle 60°. How many solutions have the task? - Inscribed circle
Write the equation of the inscribed circle of triangle KLM if K[2, 1], L[6, 4], M[6, 1]. - Outer contact of circles
Construct a circle k1 (S1; 1.5 cm), k2 (S2; 2 cm), and K3 (S3; 2.5 cm) so that they are always two outer contacts. Calculate the perimeter of the triangle S1S2S3. - Trapezoid angles
Given an isosceles trapezoid ABCD, in which | AB | = 2 | BC | = 2 | CD | = 2 | DA | holds. On its side BC, the point K is such that | BK | = 2 | KC |; on its CD side, the point L is such that | CL | = 2 | LD |, and on its DA side, the point M is such that - Circle intersections
How many intersections do circles with radii of 10 cm and 6 cm have if the distance between their centers is 3 cm? - Perpendicular diameters
Draw a circle k/S; 4.5 cm/. Next, draw: a/two mutually perpendicular diameters AB and CD b/two radii SA and SE which form an angle of 75 degrees c/chord/KL/= 4 cm d/chord/MN/, which is perpendicular to KL - Diagonal in rectangle
In the ABCD rectangle is the center of BC, point E, and point F is the center of the CD. Prove that the lines AE and AF divide diagonal BD into three equal parts. - Hexagon - MO
The picture shows the ABCD square, the EFGD square, and the HIJD rectangle. Points J and G lie on the side CD and are true |DJ| - Katy MO
Kate drew a triangle ABC. The middle of the line segment AB is marked as X, and the center of the side AC is marked as Y. On the side BC, she wants to find point Z so that the area of a 4gon AXZY is the greatest. What part of the ABC triangle can maximall - 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). - Straight lines
Draw two lines c, d so that c || d. On line c, mark points A, and B, from point A starts perpendicular to line c, from point B perpendicular to line c. - Regular octagon
Draw the regular octagon ABCDEFGH inscribed with the circle k (S; r = 2.5 cm). Select point S' so that |SS'| = 4.5 cm. Draw S (S'): ABCDEFGH - A'B'C'D'E'F'G'H'. - Square
Draw a square with side a = 4 cm. Mark the centre of symmetry S and all axes of symmetry. How many axes of symmetry does the square have? - Rectangle
Draw a rectangle with the sides a = 4 cm, b = 5 cm. Mark the center of symmetry S and all axes of symmetry. How many axes of symmetry? Write down. - construction triangle problem
Construct the vertices C of all triangles ABC, if given side AB, height vb on side b, and length of line tc on side c. Build all the solutions. Mark the vertices C1, C2,. ..
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