Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

△qrs is the image of △qrs after a reflection across the y - axis and a …

Question

△qrs is the image of △qrs after a reflection across the y - axis and a translation 3 units down. is the image the same size and shape as the preimage? △qrs and △qrs, the same size and shape. are not are

Explanation:

Step1: Recall Transformations

Reflection across y - axis and translation are rigid transformations. Rigid transformations (reflection, translation, rotation) preserve the size and shape of a figure.

Step2: Analyze the Transformations

The pre - image $\triangle QRS$ undergoes a reflection across the y - axis (a rigid transformation) and then a translation 3 units down (also a rigid transformation). Since both reflection and translation are rigid transformations, the image $\triangle Q'R'S'$ will have the same size and shape as the pre - image $\triangle QRS$.

Answer:

are