Need , on level geometry 35 pts!
let abcd be a rectangle with a on top left, b on top right, d on bottom left and c on the bottom right. prove that a rectangle has congruent diagonals.

A rectangle has congruent diagonals

Step-by-step explanation:

* Lets explain how to solve the problem

- In any rectangle each two opposite sides are parallel and equal

- All the angles of a rectangles are right angles

- To prove that the diagonals of a rectangle are congruent, we will use

 the SAS case of congruent

- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and

  including angle in the 2nd Δ

* Lets solve the problem

∵ ABCD is a rectangle

∴ AD = BC

∴ AB = CD

∴ m∠A = m∠B = m∠C = m∠D = 90°

∵ AC and BD are the diagonals of the rectangle

- In the 2 triangles ADC and BCD

∵ AD = BC ⇒ opposite sides in a rectangle

∵ m∠ADC = m∠BCD ⇒ all angles are equal in the rectangle

∵ DC = CD ⇒ common side in the two triangles

∴ ΔADC ≅ ΔBCD ⇒ SAS

- From congruent

∴ AC = BD

∵ AC and BD are the diagonals of the rectangle

∴ The diagonals of the rectangle are congruent

* A rectangle has congruent diagonals

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: