Question

PLZZZZZZZZZZZ HELP ME

Answer 1

Answer:

A, B, C, D -> A sequence of reflections across the x- and y-axis, in any order

E, F, G, H -> A translation 3 units right and 2 units down (this option was mistyped in the options)

O, P, Q, R -> A translation 2 units left and 3 units up (this option was mistyped in the options)

W, X, Y, Z-> A translation 3 units right and 3 units up (this option was mistyped in the options)

Step-by-step explanation:

Given quadrilateral JKLM has vertices

J(8, 4), K(4, 10), L(12, 12), and M(14, 10)

A sequence of reflections across the x- and y-axis, in any order transform coordinates (x, y) in (-x, -y)

J(8, 4) -> A(-8, -4)

K(4, 10) -> B(-4, -10)

L(12, 12)-> C(-12, -12)

M(14, 10) -> D(-14, -10)

A translation 3 units right and 2 units down gives the points:

J(8, 4) -> E(11, 2)

K(4, 10) -> F(7, 8)

L(12, 12)-> G(15, 10)

M(14, 10) -> H(17, 8)

A translation 2 units left and 3 units up gives the points:

J(8, 4) -> O(6, 7)

K(4, 10) -> P(2, 13)

L(12, 12)-> Q(10, 15)

M(14, 10) -> R(12, 13)

A translation 3 units right and 3 units up gives the points:

J(8, 4) -> W(11, 7)

K(4, 10) -> X(7, 13)

L(12, 12)-> Y(15, 15)

M(14, 10) -> Z(17, 13)

Answer 2

Answer:

ABCD→ Reflection across the x- and y-axis in any order; WXYZ→Translation 3 units left and 3 units down; OPQR→Translation 2 units right and 3 units down; EFGH→Translation 3 units left and 2 units up.

Explanation:

Comparing ABCD to JKLM, we see that the coordinates are negated.  This means that, since both have been negated, there has been a reflection through the x-axis, which negates the y-coordinate, and through the y-axis, which negates the x-coordinate.

Comparing WXYZ to JKLM, we see that the x-coordinate is 3 less in JKLM and the y-coordinate is 3 less in JKLM.  This means it is a translation 3 units left and 3 units down.

Comparing OPQR to JKLM, we see that the x-coordinate is 2 greater in JKLM and the y-coordinate is 3 less in JKLM.  This means it is a translation 2 units left and 3 units down.

Comparing EFGH to JKLM, we see that the x-coordinate is 3 units less in JKLM and the y-coordinate is 2 greater in JKLM.  This means that it is a translation 3 units left and 2 units up.