Question

the coordinates of the kite abcd is a (1, 1), b (2, 0), c (3, 1), d (2, 3) is translated 4 units right and 2 units up. identify the coordinates of the translated kite.

a (-5, 3), b (-6, 2), c (-7, 3), and d (-6, 5)

a (5, 3), b (6, 2), c (7, 3), and d (6, 5)

a (5, -3), b (6, -2), c (7, -3), and d (6, -5)

a (-5, -3), b (-6, -2), c (-7, -3), and d (-6, -5)

Explanation:

Step1: Recall translation rule

For a translation of \( h \) units right and \( k \) units up, the new coordinates \((x', y')\) of a point \((x, y)\) are given by \( x'=x + h \) and \( y'=y + k \). Here, \( h = 4 \) (right) and \( k = 2 \) (up).

Step2: Translate point A(1,1)

For \( A(1,1) \):
\( x'=1 + 4=5 \)
\( y'=1 + 2=3 \)
So, \( A'(5,3) \).

Step3: Translate point B(2,0)

For \( B(2,0) \):
\( x'=2 + 4=6 \)
\( y'=0 + 2=2 \)
So, \( B'(6,2) \).

Step4: Translate point C(3,1)

For \( C(3,1) \):
\( x'=3 + 4=7 \)
\( y'=1 + 2=3 \)
So, \( C'(7,3) \).

Step5: Translate point D(2,3)

For \( D(2,3) \):
\( x'=2 + 4=6 \)
\( y'=3 + 2=5 \)
So, \( D'(6,5) \).

Answer:

A' (5, 3), B' (6, 2), C' (7, 3), and D' (6, 5)