Mary states, "If the diagonals of a parallelogramare congruent, then the parallelogram is a rectangle." Decide if her statement is wue or false.
A. True
B. False

True

Step-by-step explanation:

A rectangle is a plane figure with congruent length of opposite sides. Considering a rectangle ABCD,

AD ≅ BC (opposite side property)

AB ≅ CD (opposite side property)

<ABC = <BCD = <CDA = <DAC = (right angle property)

Thus,

<ABC + <BCD + <CDA + <DAC =

AC ⊥ BD (diagonals are perpendicular to each other)

AC ≅ BD (congruent property of diagonals)

Therefore, the parallelogram is a rectangle.

I'll do number 11 for you so that you can understand, and do the rest on your own.

Step-by-step explanation:

Number 11 asks to factor x^2+3x+2.

So you have to find a number that multiples to equal 2, but adds to equal 3.

You know that when you multiply 2 and 1 you get 2, and when you add 2 and 1, you get 3.

So, it would be factored into (x+2)(x+1)