The triangles are congruent by SSS or HL.

Question

Triangles P Q R and S T U are shown. Triangle P Q R is reflected across Q R and then is shifted up and to the right to form triangle S T U.

Which transformation(s) can map TrianglePQR onto TriangleSTU?

translation only
rotation only
rotation, then reflection
reflection, then translation

Answer 1

To determine which transformation(s) can map Triangle PQR onto Triangle STU, we first need to consider the given transformations:

1. Reflection: Triangle PQR is reflected across QR.
2. Translation: Triangle is then shifted up and to the right.

Given that transformation involves reflecting and then translating, the correct answer would be:

Reflection, then translation.

This means that Triangle PQR is first reflected across QR, and then it is translated (shifted) to position it over Triangle STU.