translations
teacher voice - translations along a vector $\langle a, b \
angle$ can be expressed using a rule $(x, y) \to (x + a, y + b)$.
example 3 - writing a translation rule
write a rule for the translation of $\triangle lmn$ to $\triangle lmn$.
solution
to go from $l$ to $l$: move 2 units left and 6 units up. so, the rule is:
$\text{rule: } (x, y) \to (x - 2, y + 6)$.
$\square$ visit www.bigideasmathvideos.com to watch the flipped video instruction for the \try this\ problem(s) below.
try this video for example 3 - write a rule for the translation of $\triangle abc$ to $\triangle abc$.
3)
$\begin{array}{c|c}
& y \\
\hline
& a \\
& \\
& 2 \\
\leftarrow & \\
& \downarrow \\
& 2 \\
& 4 \\
& 6 \\
& x \\
\end{array}$ with points $a$, $c$, $a$, $c$, $b$, $b$
explain 1d $\triangleright$ performing translations
$\square$ visit bim.easyaccessmaterials.com, read integrated mathematics 1 lesson 11.1, then read the section below.
teacher voice - to translate a figure in the coordinate plane, apply the translation rule to each of the vertices of
the figure.
example 4 - translating a figure in the coordinate plane
graph $\triangle rst$ with vertices $r(2, 2)$, $s(5, 2)$, and $t(3, 5)$ and its image after the
translation $(x, y) \to (x + 1, y + 2)$.
solution
graph $\triangle rst$. to find the coordinates of
the vertices of the image, add 1 to the $x$-
coordinates and add 2 to the $y$-
coordinates of the vertices of the
preimage. then graph the image.
$\text{rule: } (x, y) \to (x + 1, y + 2)$
$r(2, 2) \to r(3, 4)$
$s(5, 2) \to s(6, 4)$
$t(3, 5) \to t(4, 7)$
integrated math 1 b credit 4

Question

translations
teacher voice - translations along a vector $\langle a, b \
angle$ can be expressed using a rule $(x, y) \to (x + a, y + b)$.
example 3 - writing a translation rule
write a rule for the translation of $\triangle lmn$ to $\triangle lmn$.
solution
to go from $l$ to $l$: move 2 units left and 6 units up. so, the rule is:
$\text{rule: } (x, y) \to (x - 2, y + 6)$.
$\square$ visit www.bigideasmathvideos.com to watch the flipped video instruction for the \try this\ problem(s) below.
try this video for example 3 - write a rule for the translation of $\triangle abc$ to $\triangle abc$.
3)
$\begin{array}{c|c}
& y \\
\hline
& a \\
&  \\
& 2 \\
\leftarrow &  \\
& \downarrow \\
& 2 \\
& 4 \\
& 6 \\
& x \\
\end{array}$ with points $a$, $c$, $a$, $c$, $b$, $b$
explain 1d $\triangleright$ performing translations
$\square$ visit bim.easyaccessmaterials.com, read integrated mathematics 1 lesson 11.1, then read the section below.
teacher voice - to translate a figure in the coordinate plane, apply the translation rule to each of the vertices of
the figure.
example 4 - translating a figure in the coordinate plane
graph $\triangle rst$ with vertices $r(2, 2)$, $s(5, 2)$, and $t(3, 5)$ and its image after the
translation $(x, y) \to (x + 1, y + 2)$.
solution
graph $\triangle rst$. to find the coordinates of
the vertices of the image, add 1 to the $x$-
coordinates and add 2 to the $y$-
coordinates of the vertices of the
preimage. then graph the image.
$\text{rule: } (x, y) \to (x + 1, y + 2)$
$r(2, 2) \to r(3, 4)$
$s(5, 2) \to s(6, 4)$
$t(3, 5) \to t(4, 7)$
integrated math 1 b credit 4

Accepted Answer

# Explanation:
## Step1: Identify coordinates of A
Original point $A=(0,4)$; Image $A'=(2,3)$
## Step2: Calculate x-change
$\Delta x = 2 - 0 = 2$
## Step3: Calculate y-change
$\Delta y = 3 - 4 = -1$
## Step4: Form translation rule
$(x,y) 	o (x+\Delta x, y+\Delta y)$

# Answer:
Rule: $(x,y) 	o (x+2, y-1)$

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Identify coordinates of A

Step2: Calculate x-change

Step3: Calculate y-change

Step4: Form translation rule

Answer: