5. На рисунке угол 1 = угол 2, ED = BC, EF = AC.Докажите, что EF || АС.ПОМОГИТЕ ПОЖАЛУЙСТА!!!
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Ответ:
ВРОДЕ КАК ТО ТАК...........

Given Information:
On the given diagram, it is stated that angle 1 is equal to angle 2, and that ED is equal to BC, and EF is equal to AC. The task is to prove that EF is parallel to AC.Proof:
To prove that EF is parallel to AC, we need to show that the corresponding angles are equal.Let's assume that angle 1 and angle 2 are equal, as stated in the given information.
Now, let's consider triangle ABC and triangle EDF. We know that angle 1 is equal to angle 2, and angle 1 is an interior angle of triangle ABC, while angle 2 is an interior angle of triangle EDF.
According to the Angle-Angle (AA) similarity criterion, if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.
Since angle 1 is equal to angle 2, triangle ABC is similar to triangle EDF.
Now, let's consider the corresponding sides of the similar triangles:
- Side ED is equal to side BC, as stated in the given information. - Side EF is equal to side AC, as stated in the given information.
Since the corresponding sides of the similar triangles are proportional, we can conclude that EF is parallel to AC.
Therefore, we have proved that EF is parallel to AC.
Note: The proof assumes that the given information is accurate and that the diagram is drawn to scale. If there are any discrepancies or missing information, the proof may not hold.
I hope this helps! Let me know if you have any further questions.
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