Look at the quadrilateral shown below

Clara writes the following proof for the theorem if the diagonals of a quadrilateral bisect each other the quadrilateral is a paralelogram

Ciara's proof

1. For triangles AOB and COD, angle 1 is equal to angle 2 as they are vertical angles
2. AO = OC and BO = OD because it is given that diagonals bisect each other
3. The triangles AOB and COD are congruent by SAS postulate
4. Similarly, triangles AOD and COB are congruent 5. By angle ABD is equal angle CDB and angle ADB is equal to angle CBD
6. As the alternate interior angles are congruent, the opposite sides of quadrilateral ABCD are parallel
7. Therefore ABCD is a parallelogram

Which is the missing phrase in Ciara's proof?

A) CPCTC
B) property of parallelograms
C) transitive property
D) vertical angles theorem

maybe showing the graph would

step-by-step explanation:

-387129 iq

srry idk

step-by-step explanation:

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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