Question

select the correct answer from each drop - down menu.
△abc is translated 6 units up and 3 units left to create △abc.
if vertex a is at (-1, 2) and vertex b is at (1, 5), then vertex a is at and vertex b is at.

Explanation:

Step1: Determine the translation rule

Translation \(6\) units up means \(y\)-coordinate \(+6\), translation \(3\) units left means \(x\)-coordinate \(-3\). The rule is \((x,y)\to(x - 3,y + 6)\)

Step2: Find the coordinates of \(A'\)

For \(A(-1,2)\), \(x=-1,y = 2\).
\(x'=-1-3=-4\), \(y'=2 + 6=8\). So \(A'(-4,8)\)

Step3: Find the coordinates of \(B'\)

For \(B(1,5)\), \(x = 1,y=5\).
\(x'=1-3=-2\), \(y'=5 + 6=11\). But since the options for \(B'\) are not fully shown (assuming the same rule application), if we follow the rule \((x,y)\to(x - 3,y+6)\)

Answer:

Vertex \(A'\) is at \((-4,8)\)