C is the circumcenter of isosceles triangle ABD with vertex angle 2ABD. Does the following proof correctly justify that triangles ABE and DBE are congruent?
1. It is given that triangle ABD is an isosceles triangle, so segments AB and DB are congruent by the definition of isosceles triangle.
2. It is given that C is the circumcenter of triangle ABD, making segment BE a median.
3. By the definition of perpendicular, angles AEB and DEB are 90°, so triangles ABE and DEB are right triangles.
4. Triangles ABE and DEB share side BE making it congruent to itself by the reflexive property.
5. Triangles ABE and DBE are congruent by HL.

answer options:
There is an error in line 1; segments AB and BD are given to be congruent.

There is an error in line 2; segment BE should be a perpendicular bisector.

There is an error in line 4; segment BE is not a shared side.

The proof is correct.

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights

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the above table 1 will calculate the population size (n) after a certain length of time (t). all you need to do is plug in the initial population number (no), the growth rate (r) and the length of time (t). the constant (e) is already entered into the equation. it stands for the base of the natural logarithms (approximately 2.71828). growth rate (r) and time (t) must be expressed in the same unit of time, such as years, days, hours or minutes. for humans, population growth rate is based on one year. if a population of people grew from 1000 to 1040 in one year, then the percent increase or annual growth rate is 40/1000 x 100 = 4 percent.

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