Question

the triangles are congruent by sss and hl. which transformation(s) can be used to map △rst onto △vwx? reflection only, reflection, then translation, translation only, rotation, then translation

Explanation:

Step1: Identify triangle properties

Both △RST and △VWX are right triangles with legs 3, 4 and hypotenuse 5 (3-4-5 Pythagorean triple), right angles at T and X respectively.

Step2: Analyze orientation

△RST and △VWX have opposite orientations (right angle sides in reverse order), requiring reflection to align.

Step3: Determine transformation

After reflection to correct orientation, translation moves △RST to △VWX's position.

Answer:

reflection, then translation