Question

Triangle upper G upper H upper J, labeled counter-clockwise from the upper left vertex, shows upper H upper J as the long horizontal base, upper H upper G as the short perpendicular left side, and upper G upper J as the hypotenuse. Triangle upper Z upper N upper P, labeled counter-clockwise from the upper right vertex, shows upper N upper Z as the short horizontal top side, upper N upper P as the long perpendicular vertical left side, and upper P upper Z as the hypotenuse.


To prove the triangles are congruent, which of the following rigid motions would map △GHJ
△
𝐺
𝐻
𝐽
to △ZNP
△
𝑍
𝑁
𝑃
?

(1 point)
Responses

rotation −90°
−
90
°
(clockwise) about point J
𝐽
, then translation along the vector, mapping point H
𝐻
to point Z
𝑍

rotation negative 90 degrees (clockwise) about point upper J , then translation along the vector, mapping point upper H to point upper Z

translation along the vector, mapping point J
𝐽
to point P

Answer 1

rotation −90° (clockwise) about J, then a translation (so the rotated triangle is moved to coincide with △ZNP)

Reason: the −90° rotation about J reorients the legs (swaps the long horizontal and short vertical positions), and a subsequent translation places the rotated triangle exactly on ZNP. A pure translation cannot change the triangle's orientation, so it won't work.