Question

raudales gavarrete, nelson u3 lou m2 25 - 26 hs district which sequence of rigid motions will definitely work to map triangle ghj onto triangle stu? a rotate ghj using center g until gj is lined up with st and then reflect over a line halfway between ghj and stu. b translate ghj by the directed line segment gs. rotate ghj using s as the center by angle hst. reflect ghj over st. c translate ghj by the directed line segment gt. rotate ghj using t as the center by angle hts. reflect ghj over st. d translate ghj by the directed line segment gs. translate ghj by the directed line segment ht. translate ghj by the directed line segment jt.

Explanation:

Step1: Analyze translation concept

Translation moves $\triangle GHJ$ using directed - line segment $GS$. Translating $\triangle GHJ$ by the directed line segment $GS$ will move the triangle so that point $G$ coincides with point $S$.

Step2: Analyze rotation concept

Rotating $\triangle G'H'J'$ (the translated triangle) using $S$ as the center by the angle between $G'H'J'$ and $\triangle STU$ will align the orientation of the two triangles.

Step3: Analyze reflection concept

Reflecting $\triangle G''H''J''$ (the rotated triangle) over $ST$ will finally map $\triangle GHJ$ onto $\triangle STU$.

Answer:

c. Translate $GHJ$ by the directed line segment $GS$. Rotate $G'H'J'$ using $S$ as the center by angle between $G'H'J'$ and $STU$. Reflect $G''H''J''$ over $ST$.