Line + line segment - practice problems - page 8 of 9
Number of problems found: 174
- Mrak - cloud
It is given segment AB, which is 12 cm in length, on which one side of the square MRAK is laid. MRAK's side length is 2 cm shown. MRAK gradually flips along the line segment AB, and point R leaves a paper trail. Draw the whole track of point R until the s
- Calculate 3993
The median of the trapezoid p is 18.6 cm, and the base a = 29.8 cm. Calculate the size of the second base c.
- Smokovec 3565
On a tourist map with a scale of 1:20 000, the distance between Starý Smokovec and Nový Smokovec is 24 cm. What is the actual distance?
- Represents 3509
What is the map's scale if the 2.5 cm long line represents 500 km?
- Determined 3488
Find out if there is a triangle whose two sides are 5 cm and 8 cm long and the middle bar determined by their centers is 1.5 cm long.
- Rectangular 3478
A segment AB is drawn in the rectangular coordinate system with endpoints A [1;6] and B [5;2]. The center symmetry is the origin of the coordinate system. Find the coordinates of the center of this segment in this symmetry projection.
- Right-angled 3147
In a right-angled triangle ABC, the height of side c has a length of 6 cm. The letter D indicates the heel of the height. Line segment AD is 8 cm long. Calculate the area of triangle ABC. ( example on Monitor 9 )
- Internal angles
The ABCD is an isosceles trapezoid, which holds: |AB| = 2 |BC| = 2 |CD| = 2 |DA|: On the BC side is a K point such that |BK| = 2 |KC|, on its side CD is the point L such that |CL| = 2 |LD|, and on its side DA, the point M is such that | DM | = 2 |MA|. Det
- MO - triangles
On the AB and AC sides of the ABC triangle lies successive points E and F, and on segment EF lie point D. The EF and BC lines are parallel. It is true this ratio FD:DE = AE:EB = 2:1. The area of the ABC triangle is 27 hectares, and line segments EF, AD, a
- 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
- Railway
The railway line had a 5.8 km segment climb nine permille. How many meters does the track ascent?
- Draw a trapezoid
Draw a trapezoid if given a = 7 cm, b = 4 cm, c = 3.5 cm, diagonal AC = 5cm. Solve as a construction task.
- Circle from string
Martin has a long 628 mm string. He makes a circle from it. Calculate the radius of the circle.
- Scale 3
Miriam's room is 3.2 meters wide. It is drawn by a line segment length of 6.4 cm on the floor plan. On what scale is the plan of the room?
- Medians in triangle
The median of the isosceles triangle is 3 cm long. If its perimeter is 16 cm, determine the size of its sides.
- Medians and sides
Determine the size of a triangle KLM and the size of the medians in the triangle. K=(-5; -6), L=(7; -2), M=(5; 6).
- Triangle midpoints
Determine coordinates of triangle ABC vertices if we know triangle sides midpoints SAB [0;3] SBC [1;6] SAC [4;5], its sides AB, BC, AC.
- Three points
Mark three points E, F, and G in the plane, not lie on one line. a) Draw a line segment FG b) Construct halfline (ray) EG c) Draw a line EF
- 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].
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