Geometry construction - practice problems - page 4 of 10
Number of problems found: 181
- Larger perimeter
A square and a circle pass through two adjacent vertices of the square (endpoints of side a) and the center of the opposite side (c). Which of the plane shape has a larger perimeter?
- Construct diagonals
The point B is a vertex of rectangle ABCD. The diagonal BD of this rectangle lies on the line p. Point X is an interior point of side AD of rectangle ABCD, and point Y is an internal point of side CD. Construct the missing vertices D, A, and C of the rect
- Circumscribed iso triangle
Construct an isosceles triangle if a given circle circumscribed with a radius r = 2.6 cm is given.
- Construction of trapezoid
Construct a trapezoid if b = 4cm, c = 7cm, d = 4,5cm, v = 3 cm (Procedure, discussion, sketch, analysis, construction)
- Construction 27743
The length of the gutter is 2 m, and the diameter of the gutter is 0.4 m. It is necessary to add 7% of the material to the joints. Find the consumption of sheet metal for the gutter construction.
- Quadrilateral 27693
Construct a quadrilateral ABCD with diagonals AC = e = 7cm, BD = f = 6.2cm, d = 4.3cm, a = 5.3cm and β = 125°
- Circumference 27161
Sketch the cone mesh and add the side length, the arc length of the circle, and the circle length to it, if you know: the side length of the cone: s = 51.9 cm cone base circumference = O = 151 mm.
- Meneal's 26771
Show (using Meneal's theorem) that the center of gravity divides the line in a 1:2 ratio.
- Construct 25851
A. Construct ∆ABC such that c = 55 mm, α = 45 °, β = 60 °. B. Draw any acute triangle and construct its heights.
- Side lengths
In the triangle ABC, the height to side a is 6cm. The height to side b is equal to 9 cm. Side "a" is 4 cm longer than side "b". Calculate the side lengths a, b.
- Distance 22043
There is a given circle k (S, 4 cm) and a line p. If the distance of point S from line p is less than 4 cm, is the line p called?
- Outside tangents
Calculate the length of the line segment S1S2 if the circles k1 (S1, 8cm) and k2 (S2,4cm) touch the outside.
- Concentric 18343
Construct three concentric circles k, l, m with center at point S and with radii 2cm, 3cm, and 40mm
- Distance 15203
In the plane, the points A, B, and C are given 3 cm apart, and they do not lie in the same straight line. Mark the set of all points whose distance from all three points is less than or equal to 2.5 cm.
- Equilateral 14873
There is a circle with a radius of 2.5 cm and point A, which lies on it. Write an equilateral triangle ABC in the circle.
- Diagonals 14073
There are three different points, C, E, and F, in the plane. Please draw the square ABCD when E and F lie on the diagonals of this square. How many solutions does the task have? Thank you
- Rectangular 13731
I have a rectangular trapezoid ZIMA (the right angle at the top of Z. ZIMA = winter in English) ZI-7cm, ZM-5cm, AM-3.5cm, and I have to write the procedure and perform a test in the design task
- 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.
- Symmetry 13501
Draw a square KLMN, a point R that is a point of the square, and a point S that is not a point of this square. Draw the image of the square KLMN in central symmetry with the center : a) at point s b) at point M c) at point R
Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.