Question

determine the correct description
quadrilaterals gsvy, kwnt, and hbrx are shown on the coordinate grid.
describe the
translation,
if
quadrilateral
tkwnt is the
preimage
and
quadrilateral
hbrx is the
image.
describe the
translation
if
quadrilateral
xrbh is the
preimage
and
quadrilateral
gsvy is the
image.

Explanation:

Step1: Find the translation from \( KWN T\) to \( HBRX\)

• Let's take a vertex. For example, take vertex \( K(2,0)\) and its image \( H(4,5)\).
• The \(x -\)coordinate changes from \(2\) to \(4\): \(4 - 2=2\) (right \(2\) units).
• The \(y -\)coordinate changes from \(0\) to \(5\): \(5-0 = 5\) (up \(5\) units).

Step2: Find the translation from \(XRBH\) to \(GSVY\)

• Take vertex \(X(6,9)\) and its image \(G(-4,0)\).
• The \(x -\)coordinate changes: \(-4-6=-10\) (left \(10\) units).
• The \(y -\)coordinate changes: \(0 - 9=-9\) (down \(9\) units).

Answer:

For the translation from \(KWN T\) (pre - image) to \(HBRX\) (image): right \(2\), up \(5\).
For the translation from \(XRBH\) (pre - image) to \(GSVY\) (image): left \(10\), down \(9\).