Question

using the sss congruence theorem. which of the following pairs of values for x and y would justify the claim that the two triangles are congruent? x = 7, y = 9; x = 9, y = 7; x = 5, y = 5; x = 3, y = 11

Explanation:

Step1: Set up equations using SSS congruence

For SSS (Side - Side - Side) congruence, corresponding sides are equal. So we set up the equations: $2x + 3=7$ and $y - 4 = 9$.

Step2: Solve the first equation for $x$

$2x+3 = 7$, subtract 3 from both sides: $2x=7 - 3=4$, then divide by 2: $x=\frac{4}{2}=2$ (this is wrong way, we should match sides correctly. Let's match $2x + 3=9$ and $y - 4=7$).
Solve $2x+3 = 9$, subtract 3 from both sides: $2x=9 - 3 = 6$, then $x = 3$.

Step3: Solve the second equation for $y$

Solve $y - 4=7$, add 4 to both sides: $y=7 + 4=11$.

Answer:

$x = 3,y = 11$