Answer:
<h2>C. SAS</h2>Step-by-step explanation:
The graph of this problem is attached. There you can observe that we demonstrate the congruence using SAS postulate, which is Side-Angle-Side.
This is the postulate we should use because the mid point divides in equal parts by definition, that means, sides RP and RS are congruent, and sides QR and TR are congruent. In addition, angles QRP and TRS are congruent, because they are vertical angle.
So, we have Side-Angle-Side as congruent parts. Therefore, the postulate we have to use is SAS, option C.
(5x)+(40)+(5x)=70 solve for "x"
The question gives us two points, (−13, −19) & (13, 3), from which we can find the slope and later the equation of the line.
Finding the Slope
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= ((3 - (-19)) ÷ (13 - (-13))
= 22 ÷ 26
= ¹¹/₁₃
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<em>Checking my answer:</em>
<em>We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. If the line passes through both of the points then we calculated the slope correctly.</em>
⇒ y + 19 = ¹¹/₁₃ (x + 13)
<em>I have included a Desmos Graph that I graphed using the information equation (including the slope) and the points given. </em>
