Question

graph the image of kite efgh after a translation 3 units right and 11 units down

Explanation:

Step1: Find the coordinates of original points

Assume \( H(-9,4) \), \( E(-5,1) \), \( F(-1,4) \), \( G(-5,9) \)

Step2: Apply the translation rule

The translation rule for \( 3 \) units right (\( x+3 \)) and \( 11 \) units down (\( y - 11 \)):

• For point \( H(-9,4) \):

\( x=-9 + 3=-6 \), \( y=4-11=-7 \), new coordinate \( H'(-6,-7) \)

• For point \( E(-5,1) \):

\( x=-5 + 3=-2 \), \( y=1-11=-10 \), new coordinate \( E'(-2,-10) \)

• For point \( F(-1,4) \):

\( x=-1 + 3=2 \), \( y=4-11=-7 \), new coordinate \( F'(2,-7) \)

• For point \( G(-5,9) \):

\( x=-5 + 3=-2 \), \( y=9-11=-2 \), new coordinate \( G'(-2,-2) \)

Step3: Plot the new points

Plot \( H'(-6,-7) \), \( E'(-2,-10) \), \( F'(2,-7) \), \( G'(-2,-2) \) on the coordinate - plane and connect them in the order \( H'\to E'\to F'\to G'\to H' \)

Answer:

Plot the points \( H'(-6,-7) \), \( E'(-2,-10) \), \( F'(2,-7) \), \( G'(-2,-2) \) and connect them to form the translated kite.