Which of the following are not necessary when proving that the diagonals of a rectangle are congruent? check all that apply

The correct options are B and D.

Step-by-step explanation:

A quadrilateral is called rectangle if the opposite sides are congruent and parallel to each other. All interior angles are right angle and congruent.

To prove that the diagonals of a rectangle are congruent the necessary conditions are

1. Opposite sides of a rectangle are congruent.

2. All right angles are congruent.

Therefore options A and C are necessary conditions. Option A and C are incorrect.

The opposite sides of a rectangle are parallel to each other and two parallel lines never intersect each other.

Therefore the opposite sides are not perpendicular to each other. Option D is correct.

The angle whose measure is more than 90 degree is called an obtuse angle.

Since all interior angles of a rectangle are right angle and congruent, therefore there is no obtuse angle. So, condition B is unnecessary. Option B is correct.

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a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional