Only the reasons need be given here, as the statements are already given in your figure.
Given
Given
Given
Definition of congruent line segments
Symmetric property of congruence
Addition and substitution properties of equality*
Segment addition theorem
Definition of congruent line segments
AAS congruence postulate
_____
* The addition property says if A=B, then A+C=B+C. The substitution property further says if C=D, then A+C=B+D (D can be substituted for C). IMO, both properties are needed together to get from A=B and C=D to A+B=C+D.
Answer:
The Quadratic Formula: Given a quadratic equation in the following form:
ax2 + bx + c = 0
...where a, b, and c are the numerical coefficients of the terms of the quadratic, the value of the variable x is given by the following equation:
\small{ x = \dfrac{-b \pm \sqrt{b^2 - 4ac\phantom{\big|}}}{2a} }x=
2a
−b±
b
2
−4ac
∣
∣
∣
Step-by-step explanation:
Point slope form is y-y1= m(x-x1) where m is slope and y1 and x1 are the x and y of the coordinate given.
y-1= 2(x-(-2))
y-1= 2(x+2)
Final answer: y-1= 2(x+2)
