Question

If this quadrilateral is reflected across the x-axis to become quadrilateral A'B'C'D', what will be the coordinates of D'? OA. (-3,-1) ОВ. (3,1) OC. (-1,3) OD. (1,3)ill send a picture of the question and graph

Answer 1

The HL postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle; then, the two triangles are congruent.

Notice that the corresponding sides of both triangles are

`\begin{gathered} LM\leftrightarrow PQ_{} \\ LN\leftrightarrow PR \\ NM\leftrightarrow RQ \end{gathered}`

To use the HL theorem, both hypotenuses have to be congruent.

`\Rightarrow LM\cong PQ`

As for the legs, one of the following two relations has to be valid.

`\begin{gathered} LN\cong PR \\ or \\ NM\cong RQ \end{gathered}`

Therefore, the two possible answers are

`\begin{gathered} LM\cong PQ,LN\cong PR \\ or \\ LM\cong PQ,NM\cong RQ \end{gathered}`

Thus, the answer is option A