What additional information would you need to prove that δabc ≅ δdef by sas?

a. segment ac ≅ segment ef
b. segment bc ≅ segment fe
c. segment ac ≅ segment fe
d. segment bc ≅ segment ef

d. d. segment BC ≅ segment EF

Step-by-step explanation:

The SAS Postulate says that if two sides and the included angle of one triangle are congruent to the corresponding two sides and the included angle of another triangle, then the triangles are said to be congruent.

In the given figure , we have two triangles ΔABC and ΔDEF in which

∠B≅∠E

segment AB ≅segment ED.

According to the SAS postulate, the additional information would be needed to prove that ΔABC ≅ ΔDEF will be : segment BC ≅ segment EF

∵ ∠B is the included angle between segment BC and segment AB and ∠E is the included angle between segment EF and segment ED.

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!