Use the distance formula to justify the congruence. The correct option is B. .
<h3>Given, </h3>
the coordinates of and are
The length of segment AC is and the length of segment DF is also .
and .
We have to find the correct statement regarding the triangles to be congruent.
<h2>Distance formula</h2>
We know that, The distance formula to calculate the distance between two points , and is given as,
So, The distance between and Will be,
Similarly, the distance between and will be,
So, .......(1)
Now, in and ,
( from equation 1 ).
( Given )
( Given )
So, By Side angle Side congruence rule,
.
Hence the correct option is B. .
For more details on SAS congruence rule follow the link:
brainly.com/question/11804042
False, true, false are the answers
Answer:
x= 1, x= 4, and x= -3
Step-by-step explanation:
Use the possible combinations of factors of the constant term of the polynomial to find a first root. Try 1, -1, 2, -2, 3, -3, etc.
Notice in particular that x = 1 is a root (makes f(1) = 0):
So we know that x=1 is a root, and therefore, the binomial (x-1) must divide the original polynomial exactly.
As we perform the division, we find that the remainder of it is zero (perfect division) and the quotient is:
This is now a quadratic expression for which we can find its factor form:
From the factors we just found, we conclude that x intercepts (zeroes) of the original polynomial are those x-values for which each of the factors: (x-1), (x-4) and (x+3) give zero. That is, the values x= 1, x= 4, and x= -3. (these are the roots of the polynomial.
Mark these values on the number line as requested.
The answer you are looking for is B. False. <span>The zero between the other numbers counts.</span>