 It is possible to prove the a square is a rectangle. Prior to we get started with the proofs, let\"s review what is special about rectangles. First, we recognize that rectangles are parallelograms, so...

You are watching: Prove that a rectangle has congruent diagonals

Let\"s view why we can insurance claim that the diagonals are congruent. Right here is a sample proof: Given: square ABCD is a rectangle.Prove: AC ≅ BDStatementsReasons
AD ≅ BC an interpretation of Rectangle
DC ≅ DC Reflexive property
congruent and right angles meaning of Rectangle
AC ≅ BD CPCTC
Here you can see that the two triangles on either side space congruent and also therefore, the corresponding sides are congruent. This mirrors that for any type of rectangle, the diagonals will be congruent. Showing the the diagonals space congruent is a an excellent way to present that a number is a rectangle as soon as you currently know the the figure is a parallelogram. Other methods would encompass showing that the shape has actually 4 best angles. If you already know that the form is a parallelogram, you will certainly only have to display that one of the angle is a right angle and then it would follow that every one of the angles are best angles.Example:Prove that the following four clues will type a rectangle when linked in order.
Step 1: Plot the clues to obtain a intuitive idea of what you are working with.

See more: How To Move Rosetta Stone From One Computer To Another, How To Transfer Rosetta Stone To Another Computer Step 2:Prove the the number is a parallelogram.There are 5 different ways come prove that this shape is a parallelogram. Select one the the methods.
In this example, us will show that both pairs of the contrary sides are parallel. To perform this we have to calculate the steep of each side. If us can present that the slopes of opposing sides space the same, then the the contrary sides room parallel.Recall that the slope can be determined using m = Slope of abdominal = Slope of CD = Slope the BC =   