The figure below shows a rectangle abcd having diagonals ac and db: a rectangle abcd is shown with diagonals ac and bd. anastasia wrote the following proof to show that the diagonals of rectangle abcd are congruent: anastasia's proof: statement 1: statement 2: ab = dc (opposite sides of a rectangle are congruent) statement 3: ac2 = db2 (from statements 1 and 2) statement 4: ac = db (taking square root on both sides of ac2 = db2) which statement below completes anastasia's proof? in triangle adc and bcd, ab = dc (opposite sides of a rectangle are congruent) in triangle adc and bcd, ab = dc (opposite sides of a rectangle are parallel) in triangle adc and bcd, ad = bc (opposite sides of a rectangle are congruent) in triangle adc and bcd, ad = bc (opposite sides of a rectangle are parallel)

In triangle ADC and BCD, AD = BC (opposite sides of a rectangle are congruent)

Step-by-step explanation:

As congruent means shapes having the same length and same internal angles.  In the given figure the two statements are already written. The only information about sides AD and BC are missing to complete the proof of congruent diagonals.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

step-by-step explanation: