Question

triangle abc and triangle xyz are drawn below. use the dropdown boxes below to determine a sequence of two transformations that maps triangle abc onto triangle xyz.

Explanation:

Step1: Analyze orientation change

First, a rotation is likely needed to change the orientation of triangle \(ABC\) to match that of triangle \(XYZ\). Rotate triangle \(ABC\) about a suitable point (for example, the origin if in a coordinate - plane) by an appropriate angle (say \(90^{\circ}\) counter - clockwise).

Step2: Analyze position change

After rotation, a translation is required to move the rotated triangle \(ABC\) to the exact position of triangle \(XYZ\). Translate the rotated triangle horizontally and vertically as needed to map it onto triangle \(XYZ\).

Since no specific coordinate information or dropdown options are given, a general sequence is rotation followed by translation.

Answer:

A sequence of rotation followed by translation can map triangle \(ABC\) onto triangle \(XYZ\).