Babayeva Mahfuza Abduvoyitovna

After 6x = 0.5x + 210, 5.5 x = 210, x = 210 / 5.5 = 382/11 minutes, they fall on top of each other.
Issue 3. A point DE equal to the median is placed after point D along the median BD of triangle ABC. A straight line r is drawn parallel to the straight line AV through the C three. Prove that a straight line r passes through point E.

Given: CF || AB, BO is the median, so AO = OC, BO = OE.
It must be proved: r that a straight line passes through point E.
Proof: Suppose that the straight line r does not pass through the point E, and the point of intersection of the straight line r with the straight line VE is F. Let’s look at the triangles AOV, COF, and COE. Since CF || AV, for the AC cutter, there will be ∆AOB = ∆COF (BTB). It follows that BO = OF, but conditionally BO = OE, from which point F overlaps with point E. So our assumption is wrong.
After explaining the issue, it is possible to reinforce the explanations given by giving the reader a similar question below.
In the AVC triangle, a DE cut equal to this median is placed along the CD median. During the AG median, a G'N cut equal to the AG median is made. Prove that points V, N, E lie on a single straight line.
In addition to educating students, they need to develop independence, initiative, cooperation, realistic assessment of the situation, logical thinking, sorting and rational use of information, the ability to quickly adapt and adapt constructively to any changes.
<sub>References:
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3. E.Bravmen. Prepodavanie physique, razvivayushee uchenika. Moscow. 2003. “Association of Physical Teachers”.
4. A.Azimov and others. Geometry. Textbook for 7th grade of general secondary schools. Tashkent. 2017. “Yangiyul polygraph service”.
5. I.S.Petrakov. Mathematical mugs in 8-10 classes. Moscow. 1987. Enlightenment.</sub>